-
1
-
-
36249022993
-
-
San Diego, Calif, USA Academic Press Mathematics in Science and Engineering MR1658022
-
Podlubny I., Fractional Differential Equations 1999 198 San Diego, Calif, USA Academic Press xxiv+340 Mathematics in Science and Engineering MR1658022
-
(1999)
Fractional Differential Equations
, vol.198
-
-
Podlubny, I.1
-
2
-
-
65049084831
-
-
Hackensack, NJ, USA World Scientific Publishing Series on Complexity, Nonlinearity and Chaos 10.1142/9789814355216 MR2894576
-
Baleanu D., Diethelm K., Scalas E., Trujillo J. J., Fractional Calculus. Models and Numerical Methods 2012 3 Hackensack, NJ, USA World Scientific Publishing xxiv+400 Series on Complexity, Nonlinearity and Chaos 10.1142/9789814355216 MR2894576
-
(2012)
Fractional Calculus. Models and Numerical Methods
, vol.3
-
-
Baleanu, D.1
Diethelm, K.2
Scalas, E.3
Trujillo, J.J.4
-
4
-
-
78650513186
-
-
New York, NY, USA Springer 10.1007/978-90-481-3293-5 MR2605606
-
Baleanu D., Güvenc Z. B., Tenreiro Machado J. A., New Trends in Nanotechnology and Fractional Calculus Applications 2010 New York, NY, USA Springer xii+531 10.1007/978-90-481-3293-5 MR2605606
-
(2010)
New Trends in Nanotechnology and Fractional Calculus Applications
-
-
Baleanu, D.1
Güvenc, Z.B.2
Tenreiro Machado, J.A.3
-
7
-
-
33751512215
-
Decomposition method for solving fractional Riccati differential equations
-
DOI 10.1016/j.amc.2006.05.008, PII S0096300306004231
-
Momani S., Shawagfeh N., Decomposition method for solving fractional Riccati differential equations. Applied Mathematics and Computation 2006 182 2 1083 1092 10.1016/j.amc.2006.05.008 MR2282552 ZBL1107.65121 (Pubitemid 44838818)
-
(2006)
Applied Mathematics and Computation
, vol.182
, Issue.2
, pp. 1083-1092
-
-
Momani, S.1
Shawagfeh, N.2
-
8
-
-
0001983732
-
Fractional calculus: Some basic problems in continuum and statistical mechanics
-
Vienna, Austria Springer CISM Courses and Lectures MR1611587 ZBL0917.73004
-
Mainardi F., Carpinteri A., Mainardi F., Fractional calculus: some basic problems in continuum and statistical mechanics. Fractals and Fractional Calculus in Continuum Mechanics (Udine, 1996) 1997 378 Vienna, Austria Springer 291 348 CISM Courses and Lectures MR1611587 ZBL0917.73004
-
(1997)
Fractals and Fractional Calculus in Continuum Mechanics (Udine, 1996)
, vol.378
, pp. 291-348
-
-
Mainardi, F.1
Carpinteri, A.2
Mainardi, F.3
-
9
-
-
0030867045
-
Applications of fractional calculus to dynamic problems of linear and nonlinear hereditary mechanics of solids
-
Rossikhin Y. A., Shitikova M. V., Applications of fractional calculus to dynamic problems of linear and nonlinear hereditary mechanics of solids. Applied Mechanics Reviews 1997 50 1 15 67 2-s2.0-0030867045 (Pubitemid 127645586)
-
(1997)
Applied Mechanics Reviews
, vol.50
, Issue.1
, pp. 15-67
-
-
Rossikhin, Y.A.1
Shitikova, M.V.2
-
10
-
-
23344432380
-
A simple fractional-calculus approach to the solutions of the Bessel differential equation of general order and some of its applications
-
DOI 10.1016/j.camwa.2004.09.009, PII S089812210500163X
-
Lin S.-D., Ling W.-C., Nishimoto K., Srivastava H. M., A simple fractional-calculus approach to the solutions of the Bessel differential equation of general order and some of its applications. Computers & Mathematics with Applications 2005 49 9-10 1487 1498 10.1016/j.camwa.2004.09.009 MR2149494 ZBL1088.34004 (Pubitemid 41101298)
-
(2005)
Computers and Mathematics with Applications
, vol.49
, Issue.9-10
, pp. 1487-1498
-
-
Lin, S.-D.1
Ling, W.-C.2
Nishimoto, K.3
Srivastava, H.M.4
-
11
-
-
33745161562
-
Remarks on a simple fractional-calculus approach to the solutions of the bessel differential equation of general order and some of its applications
-
DOI 10.1016/j.camwa.2005.03.021, PII S0898122105004517
-
Wang P.-Y., Lin S.-D., Srivastava H. M., Remarks on a simple fractional-calculus approach to the solutions of the Bessel differential equation of general order and some of its applications. Computers & Mathematics with Applications 2006 51 1 105 114 10.1016/j.camwa.2005.03.021 MR2195611 ZBL1105.34002 (Pubitemid 43903117)
-
(2006)
Computers and Mathematics with Applications
, vol.51
, Issue.1
, pp. 105-114
-
-
Wang, P.-Y.1
Lin, S.-D.2
Srivastava, H.M.3
-
12
-
-
70350564868
-
The variational iteration method: An efficient scheme for handling fractional partial differential equations in fluid mechanics
-
10.1016/j.camwa.2009.03.009 MR2557350 ZBL1189.65254
-
Odibat Z., Momani S., The variational iteration method: an efficient scheme for handling fractional partial differential equations in fluid mechanics. Computers & Mathematics with Applications 2009 58 11-12 2199 2208 10.1016/j.camwa.2009.03.009 MR2557350 ZBL1189.65254
-
(2009)
Computers & Mathematics with Applications
, vol.58
, Issue.11-12
, pp. 2199-2208
-
-
Odibat, Z.1
Momani, S.2
-
13
-
-
0033510397
-
Study on sedimentary facies classified by main amplitude parameters of seismic wave and their variation characteristics
-
He J., Huang D., He Z., Study on sedimentary facies classified by main amplitude parameters of seismic wave and their variation characteristics. Kuangwu Yanshi 1999 19 4 86 89 2-s2.0-0033510397 (Pubitemid 30137375)
-
(1999)
Kuangwu Yanshi
, vol.19
, Issue.4
, pp. 86-89
-
-
He, J.1
Huang, D.2
He, Z.3
-
14
-
-
14544296605
-
Generalizations of the differentiability of fuzzy-number-valued functions with applications to fuzzy differential equations
-
DOI 10.1016/j.fss.2004.08.001, PII S0165011404003173
-
Bede B., Gal S. G., Generalizations of the differentiability of fuzzy-number-valued functions with applications to fuzzy differential equations. Fuzzy Sets and Systems 2005 151 3 581 599 10.1016/j.fss.2004.08.001 MR2126175 ZBL1061.26024 (Pubitemid 40305079)
-
(2005)
Fuzzy Sets and Systems
, vol.151
, Issue.3
, pp. 581-599
-
-
Bede, B.1
Gal, S.G.2
-
15
-
-
38649113250
-
Note on "numerical solution of fuzzy differential equations by predictor-corrector method
-
10.1016/j.ins.2007.11.016 MR2404488
-
Bede B., Note on "Numerical solution of fuzzy differential equations by predictor-corrector method" Information Sciences. An International Journal 2008 178 7 1917 1922 10.1016/j.ins.2007.11.016 MR2404488
-
(2008)
Information Sciences. An International Journal
, vol.178
, Issue.7
, pp. 1917-1922
-
-
Bede, B.1
-
16
-
-
0012838528
-
Fuzzy differential equations
-
10.1016/S0165-0114(98)00141-9 MR1748107 ZBL0947.34049
-
Buckley J. J., Feuring T., Fuzzy differential equations. Fuzzy Sets and Systems 2000 110 1 43 54 10.1016/S0165-0114(98)00141-9 MR1748107 ZBL0947.34049
-
(2000)
Fuzzy Sets and Systems
, vol.110
, Issue.1
, pp. 43-54
-
-
Buckley, J.J.1
Feuring, T.2
-
17
-
-
41849120488
-
On new solutions of fuzzy differential equations
-
DOI 10.1016/j.chaos.2006.10.043, PII S0960077906010241
-
Chalco-Cano Y., Román-Flores H., On new solutions of fuzzy differential equations. Chaos, Solitons and Fractals 2008 38 1 112 119 10.1016/j.chaos.2006.10.043 MR2417648 ZBL1142.34309 (Pubitemid 351503972)
-
(2008)
Chaos, Solitons and Fractals
, vol.38
, Issue.1
, pp. 112-119
-
-
Chalco-Cano, Y.1
Roman-Flores, H.2
-
18
-
-
0023573517
-
Fuzzy differential equations
-
DOI 10.1016/0165-0114(87)90029-7
-
Kaleva O., Fuzzy differential equations. Fuzzy Sets and Systems 1987 24 3 301 317 10.1016/0165-0114(87)90029-7 MR919058 ZBL0646.34019 (Pubitemid 18632018)
-
(1987)
Fuzzy Sets and Systems
, vol.24
, Issue.3
, pp. 301-317
-
-
Kaleva, O.1
-
19
-
-
84862832767
-
Numerical solution of hybrid fuzzy differential equations using improved predictor-corrector method
-
10.1016/j.cnsns.2012.02.003 MR2916433 ZBL1250.65092
-
Kim H., Sakthivel R., Numerical solution of hybrid fuzzy differential equations using improved predictor-corrector method. Communications in Nonlinear Science and Numerical Simulation 2012 17 10 3788 3794 10.1016/j.cnsns.2012.02. 003 MR2916433 ZBL1250.65092
-
(2012)
Communications in Nonlinear Science and Numerical Simulation
, vol.17
, Issue.10
, pp. 3788-3794
-
-
Kim, H.1
Sakthivel, R.2
-
21
-
-
81755169009
-
Numerical solution and error estimation of fuzzy Fredholm integral equation using fuzzy Bernstein polynomials
-
2-s2.0-81755169009
-
Ezzati R., Ziari S., Numerical solution and error estimation of fuzzy Fredholm integral equation using fuzzy Bernstein polynomials. Australian Journal of Basic and Applied Sciences 2011 5 9 2072 2082 2-s2.0-81755169009
-
(2011)
Australian Journal of Basic and Applied Sciences
, vol.5
, Issue.9
, pp. 2072-2082
-
-
Ezzati, R.1
Ziari, S.2
-
22
-
-
82655166175
-
Numerical solution of fuzzy integral equations using Bernstein polynomials
-
Otadi M. M. M., Numerical solution of fuzzy integral equations using Bernstein polynomials. Australian Journal of Basic and Applied Sciences 2011 5 7 724 728
-
(2011)
Australian Journal of Basic and Applied Sciences
, vol.5
, Issue.7
, pp. 724-728
-
-
Otadi, M.M.M.1
-
23
-
-
81155128642
-
Numerical solution of fuzzy Fredholm integral equations by the Lagrange interpolation based on the extension principle
-
2-s2.0-81155128642 10.1007/s00500-011-0706-3
-
Araghi M. A. F., Parandin N., Numerical solution of fuzzy Fredholm integral equations by the Lagrange interpolation based on the extension principle. Soft Computing 2011 15 12 2449 2456 2-s2.0-81155128642 10.1007/s00500-011-0706-3
-
(2011)
Soft Computing
, vol.15
, Issue.12
, pp. 2449-2456
-
-
Araghi, M.A.F.1
Parandin, N.2
-
24
-
-
78651522642
-
The approximate solution of linear fuzzy fredholm integral equations of the second kind by using iterative interpolation
-
2-s2.0-78651522642
-
Parandin N., Araghi M. A. F., The approximate solution of linear fuzzy fredholm integral equations of the second kind by using iterative interpolation. World Academy of Science, Engineering and Technology 2009 37 1036 1042 2-s2.0-78651522642
-
(2009)
World Academy of Science, Engineering and Technology
, vol.37
, pp. 1036-1042
-
-
Parandin, N.1
Araghi, M.A.F.2
-
26
-
-
33750838587
-
Two computational methods for solving linear Fredholm fuzzy integral equation of the second kind
-
DOI 10.1016/j.amc.2006.04.039, PII S0096300306003882
-
Goghary H. S., Goghary M. S., Two computational methods for solving linear Fredholm fuzzy integral equation of the second kind. Applied Mathematics and Computation 2006 182 1 791 796 10.1016/j.amc.2006.04.039 MR2292087 ZBL1110.65125 (Pubitemid 44716328)
-
(2006)
Applied Mathematics and Computation
, vol.182
, Issue.1
, pp. 791-796
-
-
Goghary, H.S.1
Goghary, M.S.2
-
27
-
-
84870246032
-
Fuzzy Galerkin method for solving Fredholm integral equations with error analysis
-
Lotfi T., Mahdiani K., Fuzzy Galerkin method for solving Fredholm integral equations with error analysis. International Journal of Industrial Mathematics 2011 3 4 237 249
-
(2011)
International Journal of Industrial Mathematics
, vol.3
, Issue.4
, pp. 237-249
-
-
Lotfi, T.1
Mahdiani, K.2
-
28
-
-
73249139676
-
On the concept of solution for fractional differential equations with uncertainty
-
10.1016/j.na.2009.11.029 MR2580143 ZBL1188.34005
-
Agarwal R. P., Lakshmikantham V., Nieto J. J., On the concept of solution for fractional differential equations with uncertainty. Nonlinear Analysis. Theory, Methods & Applications 2010 72 6 2859 2862 10.1016/j.na.2009.11.029 MR2580143 ZBL1188.34005
-
(2010)
Nonlinear Analysis. Theory, Methods & Applications
, vol.72
, Issue.6
, pp. 2859-2862
-
-
Agarwal, R.P.1
Lakshmikantham, V.2
Nieto, J.J.3
-
29
-
-
84855651248
-
Explicit solutions of fractional differential equations with uncertainty
-
2-s2.0-84855651248 10.1007/s00500-011-0743-y
-
Allahviranloo T., Salahshour S., Abbasbandy S., Explicit solutions of fractional differential equations with uncertainty. Soft Computing 2012 16 2 297 302 2-s2.0-84855651248 10.1007/s00500-011-0743-y
-
(2012)
Soft Computing
, vol.16
, Issue.2
, pp. 297-302
-
-
Allahviranloo, T.1
Salahshour, S.2
Abbasbandy, S.3
-
30
-
-
84878639673
-
Existence and uniqueness results for fractional differential equations with uncertainty
-
article 112 10.1186/1687-1847-2012-112 MR3015434
-
Salahshour S., Allahviranloo T., Abbasbandy S., Baleanu D., Existence and uniqueness results for fractional differential equations with uncertainty. Advances in Difference Equations 2012 2012 article 112 10.1186/1687-1847-2012- 112 MR3015434
-
(2012)
Advances in Difference Equations
, vol.2012
-
-
Salahshour, S.1
Allahviranloo, T.2
Abbasbandy, S.3
Baleanu, D.4
-
31
-
-
80053384834
-
Solving fuzzy fractional differential equations by fuzzy Laplace transforms
-
10.1016/j.cnsns.2011.07.005 MR2843802 ZBL1245.35146
-
Salahshour S., Allahviranloo T., Abbasbandy S., Solving fuzzy fractional differential equations by fuzzy Laplace transforms. Communications in Nonlinear Science and Numerical Simulation 2012 17 3 1372 1381 10.1016/j.cnsns.2011.07.005 MR2843802 ZBL1245.35146
-
(2012)
Communications in Nonlinear Science and Numerical Simulation
, vol.17
, Issue.3
, pp. 1372-1381
-
-
Salahshour, S.1
Allahviranloo, T.2
Abbasbandy, S.3
-
32
-
-
84865638623
-
Modified fractional Euler method for solving fuzzy fractional initial value problem
-
10.1016/j.cnsns.2012.06.008 MR2974357 ZBL1253.35208
-
Mazandarani M., Kamyad A. V., Modified fractional Euler method for solving fuzzy fractional initial value problem. Communications in Nonlinear Science and Numerical Simulation 2013 18 1 12 21 10.1016/j.cnsns.2012.06.008 MR2974357 ZBL1253.35208
-
(2013)
Communications in Nonlinear Science and Numerical Simulation
, vol.18
, Issue.1
, pp. 12-21
-
-
Mazandarani, M.1
Kamyad, A.V.2
-
33
-
-
33750841854
-
Numerical methods for fourth-order fractional integro-differential equations
-
DOI 10.1016/j.amc.2006.04.041, PII S0096300306003845
-
Momani S., Aslam Noor M., Numerical methods for fourth-order fractional integro-differential equations. Applied Mathematics and Computation 2006 182 1 754 760 10.1016/j.amc.2006.04.041 MR2292083 ZBL1107.65120 (Pubitemid 44716325)
-
(2006)
Applied Mathematics and Computation
, vol.182
, Issue.1
, pp. 754-760
-
-
Momani, S.1
Aslam Noor, M.2
-
34
-
-
34247395044
-
Homotopy perturbation method for nonlinear partial differential equations of fractional order
-
10.1016/j.physleta.2007.01.046 MR2308776 ZBL1203.65212
-
Momani S., Odibat Z., Homotopy perturbation method for nonlinear partial differential equations of fractional order. Physics Letters A 2007 365 5-6 345 350 10.1016/j.physleta.2007.01.046 MR2308776 ZBL1203.65212
-
(2007)
Physics Letters A
, vol.365
, Issue.5-6
, pp. 345-350
-
-
Momani, S.1
Odibat, Z.2
-
35
-
-
33646161468
-
Numerical solution of fractional integro-differential equations by collocation method
-
10.1016/j.amc.2005.09.059 MR2233325 ZBL1106.65111
-
Rawashdeh E. A., Numerical solution of fractional integro-differential equations by collocation method. Applied Mathematics and Computation 2006 176 1 1 6 10.1016/j.amc.2005.09.059 MR2233325 ZBL1106.65111
-
(2006)
Applied Mathematics and Computation
, vol.176
, Issue.1
, pp. 1-6
-
-
Rawashdeh, E.A.1
-
36
-
-
74249095517
-
A new operational matrix for solving fractional-order differential equations
-
10.1016/j.camwa.2009.07.006 MR2579495 ZBL1189.65151
-
Saadatmandi A., Dehghan M., A new operational matrix for solving fractional-order differential equations. Computers & Mathematics with Applications 2010 59 3 1326 1336 10.1016/j.camwa.2009.07.006 MR2579495 ZBL1189.65151
-
(2010)
Computers & Mathematics with Applications
, vol.59
, Issue.3
, pp. 1326-1336
-
-
Saadatmandi, A.1
Dehghan, M.2
-
37
-
-
79960555480
-
Efficient Chebyshev spectral methods for solving multi-term fractional orders differential equations
-
10.1016/j.apm.2011.05.011 MR2820942 ZBL1228.65126
-
Doha E. H., Bhrawy A. H., Ezz-Eldien S. S., Efficient Chebyshev spectral methods for solving multi-term fractional orders differential equations. Applied Mathematical Modelling 2011 35 12 5662 5672 10.1016/j.apm.2011.05.011 MR2820942 ZBL1228.65126
-
(2011)
Applied Mathematical Modelling
, vol.35
, Issue.12
, pp. 5662-5672
-
-
Doha, E.H.1
Bhrawy, A.H.2
Ezz-Eldien, S.S.3
-
38
-
-
80052270048
-
A Chebyshev spectral method based on operational matrix for initial and boundary value problems of fractional order
-
10.1016/j.camwa.2011.07.024 MR2831698 ZBL1231.65126
-
Doha E. H., Bhrawy A. H., Ezz-Eldien S. S., A Chebyshev spectral method based on operational matrix for initial and boundary value problems of fractional order. Computers & Mathematics with Applications 2011 62 5 2364 2373 10.1016/j.camwa.2011.07.024 MR2831698 ZBL1231.65126
-
(2011)
Computers & Mathematics with Applications
, vol.62
, Issue.5
, pp. 2364-2373
-
-
Doha, E.H.1
Bhrawy, A.H.2
Ezz-Eldien, S.S.3
-
39
-
-
84861893481
-
A new Jacobi operational matrix: An application for solving fractional differential equations
-
10.1016/j.apm.2011.12.031 MR2930392 ZBL1252.34019
-
Doha E. H., Bhrawy A. H., Ezz-Eldien S. S., A new Jacobi operational matrix: an application for solving fractional differential equations. Applied Mathematical Modelling 2012 36 10 4931 4943 10.1016/j.apm.2011.12.031 MR2930392 ZBL1252.34019
-
(2012)
Applied Mathematical Modelling
, vol.36
, Issue.10
, pp. 4931-4943
-
-
Doha, E.H.1
Bhrawy, A.H.2
Ezz-Eldien, S.S.3
-
40
-
-
46149135272
-
Elementary fuzzy calculus
-
10.1016/0165-0114(86)90026-6 MR825618 ZBL0626.26014
-
Goetschel R. Jr., Voxman W., Elementary fuzzy calculus. Fuzzy Sets and Systems 1986 18 1 31 43 10.1016/0165-0114(86)90026-6 MR825618 ZBL0626.26014
-
(1986)
Fuzzy Sets and Systems
, vol.18
, Issue.1
, pp. 31-43
-
-
Goetschel Jr., R.1
Voxman, W.2
-
42
-
-
84884670400
-
Generalized differentiability of fuzzy-valued functions
-
10.1016/j.fss.2012.10.003
-
Bede B., Stefanini L., Generalized differentiability of fuzzy-valued functions. Fuzzy Sets and Systems 10.1016/j.fss.2012.10.003
-
Fuzzy Sets and Systems
-
-
Bede, B.1
Stefanini, L.2
-
43
-
-
77949914993
-
A generalization of Hukuhara difference and division for interval and fuzzy arithmetic
-
10.1016/j.fss.2009.06.009 MR2608262 ZBL1188.26019
-
Stefanini L., A generalization of Hukuhara difference and division for interval and fuzzy arithmetic. Fuzzy Sets and Systems 2010 161 11 1564 1584 10.1016/j.fss.2009.06.009 MR2608262 ZBL1188.26019
-
(2010)
Fuzzy Sets and Systems
, vol.161
, Issue.11
, pp. 1564-1584
-
-
Stefanini, L.1
-
44
-
-
2942685463
-
Quadrature rules for integrals of fuzzy-number-valued functions
-
10.1016/S0165-0114(03)00182-9 MR2075835 ZBL1050.28009
-
Bede B., Gal S. G., Quadrature rules for integrals of fuzzy-number-valued functions. Fuzzy Sets and Systems 2004 145 3 359 380 10.1016/S0165-0114(03) 00182-9 MR2075835 ZBL1050.28009
-
(2004)
Fuzzy Sets and Systems
, vol.145
, Issue.3
, pp. 359-380
-
-
Bede, B.1
Gal, S.G.2
-
45
-
-
77950158382
-
-
Berlin, Germany Springer Studies in Fuzziness and Soft Computing 10.1007/978-3-642-11220-1 MR2759224
-
Anastassiou G. A., Fuzzy Mathematics: Approximation Theory 2010 251 Berlin, Germany Springer xii+443 Studies in Fuzziness and Soft Computing 10.1007/978-3-642-11220-1 MR2759224
-
(2010)
Fuzzy Mathematics: Approximation Theory
, vol.251
-
-
Anastassiou, G.A.1
-
46
-
-
2942680396
-
On A Fuzzy Trigonometric Approximation Theorem of Weierstrass-type
-
Anastassiou G. A., Gal S. G., On a fuzzy trigonometric approximation theorem of Weierstrass-type. Journal of Fuzzy Mathematics 2001 9 3 701 708 MR1859551 ZBL1004.42005 (Pubitemid 33356166)
-
(2001)
Journal of fuzzy mathematics
, vol.9
, Issue.3
, pp. 701-708
-
-
Anastassiou, G.A.1
Gal, S.G.2
-
47
-
-
30144435903
-
A note on fuzzy differential equations
-
DOI 10.1016/j.na.2005.01.003, PII S0362546X05000131
-
Kaleva O., A note on fuzzy differential equations. Nonlinear Analysis. Theory, Methods & Applications 2006 64 5 895 900 10.1016/j.na.2005.01.003 MR2196799 ZBL1100.34500 (Pubitemid 43052526)
-
(2006)
Nonlinear Analysis, Theory, Methods and Applications
, vol.64
, Issue.5
, pp. 895-900
-
-
Kaleva, O.1
-
48
-
-
68749120554
-
Numerical solution of fuzzy differential equations under generalized differentiability
-
10.1016/j.nahs.2009.06.013 MR2561685 ZBL1181.34005
-
Nieto J. J., Khastan A., Ivaz K., Numerical solution of fuzzy differential equations under generalized differentiability. Nonlinear Analysis. Hybrid Systems 2009 3 4 700 707 10.1016/j.nahs.2009.06.013 MR2561685 ZBL1181.34005
-
(2009)
Nonlinear Analysis. Hybrid Systems
, vol.3
, Issue.4
, pp. 700-707
-
-
Nieto, J.J.1
Khastan, A.2
Ivaz, K.3
-
49
-
-
0032202946
-
The improper fuzzy Riemann integral and its numerical integration
-
PII S0020025598000164
-
Wu H.-C., The improper fuzzy Riemann integral and its numerical integration. Information Sciences 1998 111 1-4 109 137 10.1016/S0020-0255(98) 00016-4 MR1649896 ZBL0934.26014 (Pubitemid 128383891)
-
(1998)
Information Sciences
, vol.111
, Issue.1-4
, pp. 109-137
-
-
Wu, H.-C.1
-
50
-
-
27144494205
-
Fuzzy general linear systems
-
DOI 10.1016/j.amc.2004.10.042, PII S0096300304007453
-
Asady B., Abbasbandy S., Alavi M., Fuzzy general linear systems. Applied Mathematics and Computation 2005 169 1 34 40 10.1016/j.amc.2004.10.042 MR2169131 ZBL1119.65325 (Pubitemid 41491838)
-
(2005)
Applied Mathematics and Computation
, vol.169
, Issue.1
, pp. 34-40
-
-
Asady, B.1
Abbasbandy, S.2
Alavi, M.3
-
51
-
-
33644891948
-
Solution of a fuzzy system of linear equation
-
10.1016/j.amc.2005.07.048 MR2216360 ZBL1095.65036
-
Allahviranloo T., Afshar Kermani M., Solution of a fuzzy system of linear equation. Applied Mathematics and Computation 2006 175 1 519 531 10.1016/j.amc.2005.07.048 MR2216360 ZBL1095.65036
-
(2006)
Applied Mathematics and Computation
, vol.175
, Issue.1
, pp. 519-531
-
-
Allahviranloo, T.1
Afshar Kermani, M.2
-
52
-
-
33644883951
-
Iterative solution of fuzzy linear systems
-
10.1016/j.amc.2005.07.033 MR2216371 ZBL1137.65336
-
Dehghan M., Hashemi B., Iterative solution of fuzzy linear systems. Applied Mathematics and Computation 2006 175 1 645 674 10.1016/j.amc.2005.07.033 MR2216371 ZBL1137.65336
-
(2006)
Applied Mathematics and Computation
, vol.175
, Issue.1
, pp. 645-674
-
-
Dehghan, M.1
Hashemi, B.2
-
53
-
-
0008771415
-
Fuzzy linear systems
-
PII S0165011496002709
-
Friedman M., Ming M., Kandel A., Fuzzy linear systems. Fuzzy Sets and Systems 1998 96 2 201 209 10.1016/S0165-0114(96)00270-9 MR1614810 ZBL0929.15004 (Pubitemid 128654857)
-
(1998)
Fuzzy Sets and Systems
, vol.96
, Issue.2
, pp. 201-209
-
-
Friedman, M.1
Ming, M.2
Kandel, A.3
-
56
-
-
10644238068
-
Algorithms for the fractional calculus: A selection of numerical methods
-
DOI 10.1016/j.cma.2004.06.006, PII S0045782504002981
-
Diethelm K., Ford N. J., Freed A. D., Luchko Yu., Algorithms for the fractional calculus: a selection of numerical methods. Computer Methods in Applied Mechanics and Engineering 2005 194 6-8 743 773 10.1016/j.cma.2004.06.006 MR2105648 ZBL1119.65352 (Pubitemid 39660444)
-
(2005)
Computer Methods in Applied Mechanics and Engineering
, vol.194
, Issue.6-8
, pp. 743-773
-
-
Diethelm, K.1
Ford, N.J.2
Freed, A.D.3
Luchko, Yu.4
-
58
-
-
33947277891
-
Generalized Taylor's formula
-
DOI 10.1016/j.amc.2006.07.102, PII S0096300306009398
-
Odibat Z. M., Shawagfeh N. T., Generalized Taylor's formula. Journal of Applied Mathematics and Computing 2007 186 1 286 293 10.1016/j.amc.2006.07.102 MR2316514 ZBL1122.26006 (Pubitemid 46435616)
-
(2007)
Applied Mathematics and Computation
, vol.186
, Issue.1
, pp. 286-293
-
-
Odibat, Z.M.1
Shawagfeh, N.T.2
-
59
-
-
55949123641
-
Numerical solution of hybrid fuzzy differential equation IVPs by a characterization theorem
-
10.1016/j.ins.2008.09.023 MR2473020 ZBL1165.65041
-
Pederson S., Sambandham M., Numerical solution of hybrid fuzzy differential equation IVPs by a characterization theorem. Information Sciences 2009 179 3 319 328 10.1016/j.ins.2008.09.023 MR2473020 ZBL1165.65041
-
(2009)
Information Sciences
, vol.179
, Issue.3
, pp. 319-328
-
-
Pederson, S.1
Sambandham, M.2
-
61
-
-
31144465223
-
The nearest approximation of a fuzzy quantity in parametric form
-
DOI 10.1016/j.amc.2005.02.019, PII S0096300305002274
-
Abbasbandy S., Amirfakhrian M., The nearest approximation of a fuzzy quantity in parametric form. Applied Mathematics and Computation 2006 172 1 624 632 10.1016/j.amc.2005.02.019 MR2197927 ZBL1097.41001 (Pubitemid 43132866)
-
(2006)
Applied Mathematics and Computation
, vol.172
, Issue.1
, pp. 624-632
-
-
Abbasbandy, S.1
Amirfakhrian, M.2
-
62
-
-
33746928778
-
A new approach to universal approximation of fuzzy functions on a discrete set of points
-
DOI 10.1016/j.apm.2005.07.004, PII S0307904X05001289
-
Abbasbandy S., Amirfakhrian M., A new approach to universal approximation of fuzzy functions on a discrete set of points. Applied Mathematical Modelling 2006 30 12 1525 1534 2-s2.0-33746928778 10.1016/j.apm.2005.07.004 (Pubitemid 44184787)
-
(2006)
Applied Mathematical Modelling
, vol.30
, Issue.12
, pp. 1525-1534
-
-
Abbasbandy, S.1
Amirfakhrian, M.2
-
63
-
-
33644599889
-
Numerical approximation of fuzzy functions by fuzzy polynomials
-
10.1016/j.amc.2005.05.028 MR2220594 ZBL1094.65015
-
Abbasbandy S., Amirfakhrian M., Numerical approximation of fuzzy functions by fuzzy polynomials. Applied Mathematics and Computation 2006 174 2 1001 1006 10.1016/j.amc.2005.05.028 MR2220594 ZBL1094.65015
-
(2006)
Applied Mathematics and Computation
, vol.174
, Issue.2
, pp. 1001-1006
-
-
Abbasbandy, S.1
Amirfakhrian, M.2
-
64
-
-
3943057489
-
The nearest trapezoidal fuzzy number to a fuzzy quantity
-
10.1016/j.amc.2003.07.025 MR2087515 ZBL1058.03516
-
Abbasbandy S., Asady B., The nearest trapezoidal fuzzy number to a fuzzy quantity. Applied Mathematics and Computation 2004 156 2 381 386 10.1016/j.amc.2003.07.025 MR2087515 ZBL1058.03516
-
(2004)
Applied Mathematics and Computation
, vol.156
, Issue.2
, pp. 381-386
-
-
Abbasbandy, S.1
Asady, B.2
-
65
-
-
0012540629
-
Interpolation of fuzzy data
-
10.1016/0165-0114(94)90285-2 MR1262219 ZBL0827.65007
-
Kaleva O., Interpolation of fuzzy data. Fuzzy Sets and Systems 1994 61 1 63 70 10.1016/0165-0114(94)90285-2 MR1262219 ZBL0827.65007
-
(1994)
Fuzzy Sets and Systems
, vol.61
, Issue.1
, pp. 63-70
-
-
Kaleva, O.1
-
66
-
-
0025228199
-
Fuzzy Lagrange interpolation theorem
-
DOI 10.1016/0165-0114(90)90124-O
-
Lowen R., A fuzzy Lagrange interpolation theorem. Fuzzy Sets and Systems 1990 34 1 33 38 10.1016/0165-0114(90)90124-O MR1039709 ZBL0685.41005 (Pubitemid 20659764)
-
(1990)
Fuzzy Sets and Systems
, vol.34
, Issue.1
, pp. 33-38
-
-
Lowen, R.1
-
67
-
-
41549138233
-
Trapezoidal and triangular approximations preserving the expected interval
-
DOI 10.1016/j.fss.2007.09.010, PII S0165011407004198
-
Yeh C.-T., Trapezoidal and triangular approximations preserving the expected interval. Fuzzy Sets and Systems 2008 159 11 1345 1353 10.1016/j.fss.2007.09.010 MR2415751 ZBL1176.03041 (Pubitemid 351466982)
-
(2008)
Fuzzy Sets and Systems
, vol.159
, Issue.11
, pp. 1345-1353
-
-
Yeh, C.-T.1
-
69
-
-
84872602206
-
Fractional-order Legendre functions for solving fractional order differential equations
-
10.1016/j.apm.2012.10.026
-
Kazem S., Abbasbandy S., Sunil Kumar, Fractional-order Legendre functions for solving fractional order differential equations. Applied Mathematical Modelling 2013 37 7 5498 5510 10.1016/j.apm.2012.10.026
-
(2013)
Applied Mathematical Modelling
, vol.37
, Issue.7
, pp. 5498-5510
-
-
Kazem, S.1
Abbasbandy, S.2
Kumar, S.3
-
70
-
-
16344361879
-
Fuzzy approximation by fuzzy convolution type operators
-
DOI 10.1016/j.camwa.2004.10.027, PII S0898122104003815
-
Anastassiou G. A., Fuzzy approximation by fuzzy convolution type operators. Computers & Mathematics with Applications 2004 48 9 1369 1386 10.1016/j.camwa.2004.10.027 MR2108487 ZBL1102.41305 (Pubitemid 40467273)
-
(2004)
Computers and Mathematics with Applications
, vol.48
, Issue.9
, pp. 1369-1386
-
-
Anastassiou, G.A.1
-
71
-
-
0003766476
-
-
New York, NY, USA Springer Springer Series in Computational Physics MR917480
-
Canuto C., Hussaini M. Y., Quarteroni A., Zang T. A., Spectral Methods in Fluid Dynamics 1988 New York, NY, USA Springer xiv+557 Springer Series in Computational Physics MR917480
-
(1988)
Spectral Methods in Fluid Dynamics
-
-
Canuto, C.1
Hussaini, M.Y.2
Quarteroni, A.3
Zang, T.A.4
-
72
-
-
84966254008
-
Numerical solution of systems of ordinary differential equations with the Tau method: An error analysis
-
10.2307/2007325 MR669640 ZBL0501.65042
-
Freilich J. H., Ortiz E. L., Numerical solution of systems of ordinary differential equations with the Tau method: an error analysis. Mathematics of Computation 1982 39 160 467 479 10.2307/2007325 MR669640 ZBL0501.65042
-
(1982)
Mathematics of Computation
, vol.39
, Issue.160
, pp. 467-479
-
-
Freilich, J.H.1
Ortiz, E.L.2
-
73
-
-
0014562201
-
The tau method
-
MR0258287 10.1137/0706044 ZBL0195.45701
-
Ortiz E. L., The tau method. SIAM Journal on Numerical Analysis 1969 6 3 480 492 MR0258287 10.1137/0706044 ZBL0195.45701
-
(1969)
SIAM Journal on Numerical Analysis
, vol.6
, Issue.3
, pp. 480-492
-
-
Ortiz, E.L.1
-
74
-
-
84870242888
-
An integral operational matrix based on Jacobi polynomials for solving fractional-order differential equations
-
10.1016/j.apm.2012.03.033 MR3002211
-
Kazem S., An integral operational matrix based on Jacobi polynomials for solving fractional-order differential equations. Applied Mathematical Modelling 2013 37 3 1126 1136 10.1016/j.apm.2012.03.033 MR3002211
-
(2013)
Applied Mathematical Modelling
, vol.37
, Issue.3
, pp. 1126-1136
-
-
Kazem, S.1
-
76
-
-
84868705456
-
Numerical solution of a class of two-dimensional nonlinear Volterra integral equations using Legendre polynomials
-
10.1016/j.cam.2012.10.021 MR2997430 ZBL1255.65248
-
Nemati S., Lima P. M., Ordokhani Y., Numerical solution of a class of two-dimensional nonlinear Volterra integral equations using Legendre polynomials. Journal of Computational and Applied Mathematics 2013 242 53 69 10.1016/j.cam.2012.10.021 MR2997430 ZBL1255.65248
-
(2013)
Journal of Computational and Applied Mathematics
, vol.242
, pp. 53-69
-
-
Nemati, S.1
Lima, P.M.2
Ordokhani, Y.3
-
77
-
-
33645882909
-
Newton's method for solving a system of fuzzy nonlinear equations
-
10.1016/j.amc.2005.08.021 MR2220321 ZBL1093.65049
-
Abbasbandy S., Ezzati R., Newton's method for solving a system of fuzzy nonlinear equations. Applied Mathematics and Computation 2006 175 2 1189 1199 10.1016/j.amc.2005.08.021 MR2220321 ZBL1093.65049
-
(2006)
Applied Mathematics and Computation
, vol.175
, Issue.2
, pp. 1189-1199
-
-
Abbasbandy, S.1
Ezzati, R.2
-
78
-
-
74149085984
-
An algorithm for the numerical solution of differential equations of fractional order
-
Odibat Z., Momani S., An algorithm for the numerical solution of differential equations of fractional order. Journal of Applied Mathematics & Informatics 2008 26 15 27
-
(2008)
Journal of Applied Mathematics & Informatics
, vol.26
, pp. 15-27
-
-
Odibat, Z.1
Momani, S.2
-
80
-
-
0011580931
-
Introduction to transfer and motion in fractal media: the geometry of kinetics
-
DOI 10.1016/0167-2738(83)90207-2
-
Le Mehaute A., Crepy G., Introduction to transfer and motion in fractal media: the geometry of kinetics. Solid State Ionics 1983 9-10 1 17 30 2-s2.0-0011580931 (Pubitemid 15506995)
-
(1983)
Solid State Ionics
, vol.9-10
, pp. 17-30
-
-
Le Mehaute, A.1
Crepy, G.2
-
81
-
-
33745792813
-
Pharmacokinetic-pharmacodynamic modelling: History and perspectives
-
DOI 10.1007/s10928-005-9002-0
-
Csajka C., Verotta D., Pharmacokinetic-pharmacodynamic modelling: history and perspectives. Journal of Pharmacokinetics and Pharmacodynamics 2006 33 3 227 279 2-s2.0-33745792813 10.1007/s10928-005-9002-0 (Pubitemid 44020382)
-
(2006)
Journal of Pharmacokinetics and Pharmacodynamics
, vol.33
, Issue.3
, pp. 227-279
-
-
Csajka, C.1
Verotta, D.2
-
82
-
-
77956768578
-
Fractional dynamics pharmacokinetics-pharmacodynamic models
-
2-s2.0-77956768578 10.1007/s10928-010-9159-z
-
Verotta D., Fractional dynamics pharmacokinetics-pharmacodynamic models. Journal of Pharmacokinetics and Pharmacodynamics 2010 37 3 257 276 2-s2.0-77956768578 10.1007/s10928-010-9159-z
-
(2010)
Journal of Pharmacokinetics and Pharmacodynamics
, vol.37
, Issue.3
, pp. 257-276
-
-
Verotta, D.1
-
83
-
-
33845663612
-
Linear first-order fuzzy differential equations
-
DOI 10.1142/S0218488506004278, PII S0218488506004278
-
Nieto J. J., Rodríguez-López R., Franco D., Linear first-order fuzzy differential equations. International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems 2006 14 6 687 709 10.1142/ S0218488506004278 MR2289145 ZBL1116.34005 (Pubitemid 44957626)
-
(2006)
International Journal of Uncertainty, Fuzziness and Knowlege-Based Systems
, vol.14
, Issue.6
, pp. 687-709
-
-
Nieto, J.J.1
Rodriguez-Lopez, R.2
Franco, D.3
|