-
1
-
-
84981825145
-
Definition of physically consistent damping laws with fractional derivatives
-
10.1002/zamm.19950750820 MR1347683 ZBL0865.70014
-
Beyer H., Kempfle S., Definition of physically consistent damping laws with fractional derivatives. Zeitschrift für Angewandte Mathematik und Mechanik 1995 75 8 623 635 10.1002/zamm.19950750820 MR1347683 ZBL0865.70014
-
(1995)
Zeitschrift für Angewandte Mathematik und Mechanik
, vol.75
, Issue.8
, pp. 623-635
-
-
Beyer, H.1
Kempfle, S.2
-
2
-
-
0347763940
-
Some applications of nonlinear fractional differential equations and their approximations
-
He J. H., Some applications of nonlinear fractional differential equations and their approximations. Bulletin of Science, Technology & Society 1999 15 2 86 90
-
(1999)
Bulletin of Science, Technology & Society
, vol.15
, Issue.2
, pp. 86-90
-
-
He, J.H.1
-
3
-
-
0032307661
-
Approximate analytical solution for seepage flow with fractional derivatives in porous media
-
10.1016/S0045-7825(98)00108-X MR1665221 ZBL0942.76077
-
He J.-H., Approximate analytical solution for seepage flow with fractional derivatives in porous media. Computer Methods in Applied Mechanics and Engineering 1998 167 1-2 57 68 10.1016/S0045-7825(98)00108-X MR1665221 ZBL0942.76077
-
(1998)
Computer Methods in Applied Mechanics and Engineering
, vol.167
, Issue.1-2
, pp. 57-68
-
-
He, J.-H.1
-
4
-
-
0002987725
-
Fractional time evolution
-
River Edge, NJ, USA World Scientific 10.1142/9789812817747-0002 MR1890106 ZBL0994.34050
-
Hilfer R., Fractional time evolution. Applications of Fractional Calculus in Physics 2000 River Edge, NJ, USA World Scientific 87 130 10.1142/9789812817747-0002 MR1890106 ZBL0994.34050
-
(2000)
Applications of Fractional Calculus in Physics
, pp. 87-130
-
-
Hilfer, R.1
-
5
-
-
0003797958
-
-
San Diego, Calif, USA Academic Press Mathematics in Science and Engineering MR1658022
-
Podlubny I., Fractional Differential Equations: An Introduction to Fractional Derivatives, Fractional Differential Equations, to Methods of Their Solution and some of Their Applications 1999 198 San Diego, Calif, USA Academic Press Mathematics in Science and Engineering MR1658022
-
(1999)
Fractional Differential Equations: An Introduction to Fractional Derivatives, Fractional Differential Equations, to Methods of Their Solution and Some of Their Applications
, vol.198
-
-
Podlubny, I.1
-
6
-
-
0001407424
-
The fundamental solution of the space-time fractional diffusion equation
-
MR1829592 ZBL1054.35156
-
Mainardi F., Luchko Y., Pagnini G., The fundamental solution of the space-time fractional diffusion equation. Fractional Calculus & Applied Analysis 2001 4 2 153 192 MR1829592 ZBL1054.35156
-
(2001)
Fractional Calculus & Applied Analysis
, vol.4
, Issue.2
, pp. 153-192
-
-
Mainardi, F.1
Luchko, Y.2
Pagnini, G.3
-
7
-
-
77952744746
-
On the solutions of time-fractional reaction-diffusion equations
-
10.1016/j.cnsns.2010.02.007 MR2652657 ZBL1222.65115
-
Rida S. Z., El-Sayed A. M. A., Arafa A. A. M., On the solutions of time-fractional reaction-diffusion equations. Communications in Nonlinear Science and Numerical Simulation 2010 15 12 3847 3854 10.1016/j.cnsns.2010.02. 007 MR2652657 ZBL1222.65115
-
(2010)
Communications in Nonlinear Science and Numerical Simulation
, vol.15
, Issue.12
, pp. 3847-3854
-
-
Rida, S.Z.1
El-Sayed, A.M.A.2
Arafa, A.A.M.3
-
8
-
-
78249267580
-
He's homotopy perturbation method for solving the space- and time-fractional telegraph equations
-
10.1080/00207160902874653 MR2754242 ZBL1206.65239
-
Yildirim A., He's homotopy perturbation method for solving the space- and time-fractional telegraph equations. International Journal of Computer Mathematics 2010 87 13 2998 3006 10.1080/00207160902874653 MR2754242 ZBL1206.65239
-
(2010)
International Journal of Computer Mathematics
, vol.87
, Issue.13
, pp. 2998-3006
-
-
Yildirim, A.1
-
9
-
-
17844394750
-
Fractional integral and fractional differential equations in fluid mechanics
-
MR2035411 ZBL1076.35095
-
Debnath L., Fractional integral and fractional differential equations in fluid mechanics. Fractional Calculus & Applied Analysis 2003 6 2 119 155 MR2035411 ZBL1076.35095
-
(2003)
Fractional Calculus & Applied Analysis
, vol.6
, Issue.2
, pp. 119-155
-
-
Debnath, L.1
-
12
-
-
0004182814
-
-
New York, NY, USA Academic Press MR0361633
-
Oldham K. B., Spanier J., The Fractional Calculus: Theory and Applications of Differentiation and Integration to Arbitrary Order, With an Annotated Chronological Bibliography by Bertram Ross, Mathematics in Science and Engineering 1974 111 New York, NY, USA Academic Press MR0361633
-
(1974)
The Fractional Calculus: Theory and Applications of Differentiation and Integration to Arbitrary Order, with An Annotated Chronological Bibliography by Bertram Ross, Mathematics in Science and Engineering
, vol.111
-
-
Oldham, K.B.1
Spanier, J.2
-
15
-
-
84555221318
-
Local fractional integral transforms
-
Yang X. J., Local fractional integral transforms. Progress in Nonlinear Science 2011 4 1 225
-
(2011)
Progress in Nonlinear Science
, vol.4
, pp. 1-225
-
-
Yang, X.J.1
-
18
-
-
84874886377
-
Local fractional partial differential equations with fractal boundary problems
-
Yang X. J., Local fractional partial differential equations with fractal boundary problems. Advances in Computational Mathematics and Its Applications 2012 1 1 60 63
-
(2012)
Advances in Computational Mathematics and Its Applications
, vol.1
, Issue.1
, pp. 60-63
-
-
Yang, X.J.1
-
19
-
-
84874084355
-
The Laplace-Adomian-Pade technique for the seepage flows with the Riemann-Liouville derivatives
-
Zeng D. Q., Qin Y. M., The Laplace-Adomian-Pade technique for the seepage flows with the Riemann-Liouville derivatives. Communications in Fractional Calculus 2012 3 1 26 29
-
(2012)
Communications in Fractional Calculus
, vol.3
, Issue.1
, pp. 26-29
-
-
Zeng, D.Q.1
Qin, Y.M.2
-
20
-
-
84869494625
-
Asymptotic methods for solitary solutions and compactons
-
916793 10.1155/2012/916793
-
He J. H., Asymptotic methods for solitary solutions and compactons. Abstract and Applied Analysis 2012 2012 130 916793 10.1155/2012/916793
-
(2012)
Abstract and Applied Analysis
, vol.2012
, pp. 130
-
-
He, J.H.1
-
21
-
-
0032672778
-
Homotopy perturbation technique
-
10.1016/S0045-7825(99)00018-3 MR1711041 ZBL0956.70017
-
He J.-H., Homotopy perturbation technique. Computer Methods in Applied Mechanics and Engineering 1999 178 3-4 257 262 10.1016/S0045-7825(99)00018-3 MR1711041 ZBL0956.70017
-
(1999)
Computer Methods in Applied Mechanics and Engineering
, vol.178
, Issue.3-4
, pp. 257-262
-
-
He, J.-H.1
-
22
-
-
0037440579
-
Homotopy perturbation method: A new nonlinear analytical technique
-
10.1016/S0096-3003(01)00312-5 MR1934316 ZBL1030.34013
-
He J.-H., Homotopy perturbation method: a new nonlinear analytical technique. Applied Mathematics and Computation 2003 135 1 73 79 10.1016/S0096-3003(01)00312-5 MR1934316 ZBL1030.34013
-
(2003)
Applied Mathematics and Computation
, vol.135
, Issue.1
, pp. 73-79
-
-
He, J.-H.1
-
23
-
-
33746584753
-
Addendum: New interpretation of homotopy perturbation method
-
DOI 10.1142/S0217979206034819, PII S0217979206034819
-
He J.-H., New interpretation of homotopy perturbation method. Addendum: 'some asymptotic methods for strongly nonlinear equations'. International Journal of Modern Physics B 2006 20 18 2561 2568 10.1142/S0217979206034819 MR2251264 (Pubitemid 44154678)
-
(2006)
International Journal of Modern Physics B
, vol.20
, Issue.18
, pp. 2561-2568
-
-
He, J.-H.1
-
24
-
-
33646893481
-
The application of He's homotopy perturbation method to nonlinear equations arising in heat transfer
-
DOI 10.1016/j.physleta.2006.02.056, PII S0375960106003252
-
Ganji D. D., The application of He's homotopy perturbation method to nonlinear equations arising in heat transfer. Physics Letters A 2006 355 4-5 337 341 10.1016/j.physleta.2006.02.056 MR2230843 (Pubitemid 43783178)
-
(2006)
Physics Letters, Section A: General, Atomic and Solid State Physics
, vol.355
, Issue.4-5
, pp. 337-341
-
-
Ganji, D.D.1
-
25
-
-
67249166170
-
An algorithm for solving the fractional nonlinear Schrödinger equation by means of the homotopy perturbation method
-
2-s2.0-67249166170
-
Yildirim A., An algorithm for solving the fractional nonlinear Schrödinger equation by means of the homotopy perturbation method. International Journal of Nonlinear Sciences and Numerical Simulation 2009 10 4 445 450 2-s2.0-67249166170
-
(2009)
International Journal of Nonlinear Sciences and Numerical Simulation
, vol.10
, Issue.4
, pp. 445-450
-
-
Yildirim, A.1
-
26
-
-
33745244211
-
Solitary wave solutions for a generalized Hirota-Satsuma coupled KdV equation by homotopy perturbation method
-
DOI 10.1016/j.physleta.2006.03.039, PII S0375960106004208
-
Ganji D. D., Rafei M., Solitary wave solutions for a generalized Hirota-Satsuma coupled KdV equation by homotopy perturbation method. Physics Letters A 2006 356 2 131 137 10.1016/j.physleta.2006.03.039 MR2243373 ZBL1160.35517 (Pubitemid 43929173)
-
(2006)
Physics Letters, Section A: General, Atomic and Solid State Physics
, vol.356
, Issue.2
, pp. 131-137
-
-
Ganji, D.D.1
Rafei, M.2
-
27
-
-
63449135805
-
Explicit analytical solutions of the generalized Burger and Burger-Fisher equations by homotopy perturbation method
-
10.1002/num.20350 MR2483774
-
Rashidi M. M., Ganji D. D., Dinarvand S., Explicit analytical solutions of the generalized Burger and Burger-Fisher equations by homotopy perturbation method. Numerical Methods for Partial Differential Equations 2009 25 2 409 417 10.1002/num.20350 MR2483774
-
(2009)
Numerical Methods for Partial Differential Equations
, vol.25
, Issue.2
, pp. 409-417
-
-
Rashidi, M.M.1
Ganji, D.D.2
Dinarvand, S.3
-
28
-
-
70350354972
-
An efficient method for quadratic Riccati differential equation
-
10.1016/j.cnsns.2009.05.009 MR2556991 ZBL1221.65193
-
Aminikhah H., Hemmatnezhad M., An efficient method for quadratic Riccati differential equation. Communications in Nonlinear Science and Numerical Simulation 2010 15 4 835 839 10.1016/j.cnsns.2009.05.009 MR2556991 ZBL1221.65193
-
(2010)
Communications in Nonlinear Science and Numerical Simulation
, vol.15
, Issue.4
, pp. 835-839
-
-
Aminikhah, H.1
Hemmatnezhad, M.2
-
30
-
-
84870941648
-
Homotopy perturbation and variational iteration methods for solving fuzzy differential equations
-
Jafari H., Wazwaz A. M., Khalique C. M., Homotopy perturbation and variational iteration methods for solving fuzzy differential equations. Communications in Fractional Calculus 2012 3 1 38 48
-
(2012)
Communications in Fractional Calculus
, vol.3
, Issue.1
, pp. 38-48
-
-
Jafari, H.1
Wazwaz, A.M.2
Khalique, C.M.3
-
31
-
-
84874859043
-
Homotopy perturbation method for the q-diffusion equation with a source term
-
Qin Y. M., Zeng D. Q., Homotopy perturbation method for the q-diffusion equation with a source term. Communications in Fractional Calculus 2012 3 1 34 37
-
(2012)
Communications in Fractional Calculus
, vol.3
, Issue.1
, pp. 34-37
-
-
Qin, Y.M.1
Zeng, D.Q.2
-
32
-
-
84874026003
-
Combination of Laplace transform and homotopy perturbation method to solve the parabolic partial differential equations
-
Javidi M., Raji M. A., Combination of Laplace transform and homotopy perturbation method to solve the parabolic partial differential equations. Communications in Fractional Calculus 2012 3 1 10 19
-
(2012)
Communications in Fractional Calculus
, vol.3
, Issue.1
, pp. 10-19
-
-
Javidi, M.1
Raji, M.A.2
-
33
-
-
84874054174
-
A review of the Adomian decomposition method and its applications to fractional differential equations
-
Duan J. S., Rach R., Buleanu D., Wazwaz A. M., A review of the Adomian decomposition method and its applications to fractional differential equations. Communications in Fractional Calculus 2012 3 2 73 99
-
(2012)
Communications in Fractional Calculus
, vol.3
, Issue.2
, pp. 73-99
-
-
Duan, J.S.1
Rach, R.2
Buleanu, D.3
Wazwaz, A.M.4
-
34
-
-
84869212020
-
A semi-Analytical technique for non-linear settling particle equation of motion
-
10.1016/j.jher.2012.04.002
-
Ganji D. D., A semi-Analytical technique for non-linear settling particle equation of motion. Journal of Hydro-Environment Research 2012 6 4 323 327 10.1016/j.jher.2012.04.002
-
(2012)
Journal of Hydro-Environment Research
, vol.6
, Issue.4
, pp. 323-327
-
-
Ganji, D.D.1
-
37
-
-
62949242120
-
Beyond Adomian polynomials: He polynomials
-
10.1016/j.chaos.2007.06.034 MR2512946 ZBL1197.65061
-
Ghorbani A., Beyond Adomian polynomials: he polynomials. Chaos, Solitons and Fractals 2009 39 3 1486 1492 10.1016/j.chaos.2007.06.034 MR2512946 ZBL1197.65061
-
(2009)
Chaos, Solitons and Fractals
, vol.39
, Issue.3
, pp. 1486-1492
-
-
Ghorbani, A.1
-
38
-
-
79959205476
-
Approximate analytical solutions of fractional gas dynamic equations
-
10.1016/j.amc.2011.03.144 MR2806377
-
Das S., Kumar R., Approximate analytical solutions of fractional gas dynamic equations. Applied Mathematics and Computation 2011 217 24 9905 9915 10.1016/j.amc.2011.03.144 MR2806377
-
(2011)
Applied Mathematics and Computation
, vol.217
, Issue.24
, pp. 9905-9915
-
-
Das, S.1
Kumar, R.2
-
39
-
-
0031654471
-
Sumudu transform - A new integral transform to solve differential equations and control engineering problems
-
Watugala G. K., Sumudu transform-a new integral transform to solve differential equations and control engineering problems. Mathematical Engineering in Industry 1998 6 4 319 329 MR1628975 ZBL0916.44002 (Pubitemid 127592676)
-
(1997)
Mathematical Engineering in Industry
, vol.6
, Issue.4
, pp. 319-329
-
-
Watugala, G.K.1
-
40
-
-
84856690700
-
Application of Sumudu transform to partial differential equations
-
10.1080/0020739940250214 MR1271656 ZBL0812.35004
-
Weerakoon S., Application of Sumudu transform to partial differential equations. International Journal of Mathematical Education in Science and Technology 1994 25 2 277 283 10.1080/0020739940250214 MR1271656 ZBL0812.35004
-
(1994)
International Journal of Mathematical Education in Science and Technology
, vol.25
, Issue.2
, pp. 277-283
-
-
Weerakoon, S.1
-
42
-
-
85013911681
-
Further properties of the Sumudu transform and its applications
-
10.1080/002073902760047940 MR1912446 ZBL1013.44001
-
Aşiru M. A., Further properties of the Sumudu transform and its applications. International Journal of Mathematical Education in Science and Technology 2002 33 3 441 449 10.1080/002073902760047940 MR1912446 ZBL1013.44001
-
(2002)
International Journal of Mathematical Education in Science and Technology
, vol.33
, Issue.3
, pp. 441-449
-
-
Aşiru, M.A.1
-
43
-
-
33749557948
-
Solving the one-dimensional neutron transport equation using Chebyshev polynomials and the Sumudu transform
-
MR2210623 ZBL1164.82331
-
Kadem A., Solving the one-dimensional neutron transport equation using Chebyshev polynomials and the Sumudu transform. Analele Universitatii din Oradea 2005 12 153 171 MR2210623 ZBL1164.82331
-
(2005)
Analele Universitatii Din Oradea
, vol.12
, pp. 153-171
-
-
Kadem, A.1
-
44
-
-
79959493170
-
A note on the comparison between Laplace and Sumudu transforms
-
MR2850110 ZBL1242.44001
-
Kiliçman A., Eltayeb H., Atan K. A. M., A note on the comparison between Laplace and Sumudu transforms. Iranian Mathematical Society 2011 37 1 131 141 MR2850110 ZBL1242.44001
-
(2011)
Iranian Mathematical Society
, vol.37
, Issue.1
, pp. 131-141
-
-
Kiliçman, A.1
Eltayeb, H.2
Atan, K.A.M.3
-
45
-
-
77955228730
-
On the applications of Laplace and Sumudu transforms
-
10.1016/j.jfranklin.2010.03.008 MR2645395
-
Kiliçman A., Gadain H. E., On the applications of Laplace and Sumudu transforms. Journal of the Franklin Institute 2010 347 5 848 862 10.1016/j.jfranklin.2010.03.008 MR2645395
-
(2010)
Journal of the Franklin Institute
, vol.347
, Issue.5
, pp. 848-862
-
-
Kiliçman, A.1
Gadain, H.E.2
-
46
-
-
77951247970
-
A new integral transform and associated distributions
-
10.1080/10652460903335061 MR2666504 ZBL1191.35017
-
Eltayeb H., Kiliçman A., Fisher B., A new integral transform and associated distributions. Integral Transforms and Special Functions 2010 21 5-6 367 379 10.1080/10652460903335061 MR2666504 ZBL1191.35017
-
(2010)
Integral Transforms and Special Functions
, vol.21
, Issue.5-6
, pp. 367-379
-
-
Eltayeb, H.1
Kiliçman, A.2
Fisher, B.3
-
47
-
-
77951103745
-
A note on integral transforms and partial differential equations
-
MR2576040 ZBL1194.35017
-
Kiliçman A., Eltayeb H., A note on integral transforms and partial differential equations. Applied Mathematical Sciences 2010 4 1-4 109 118 MR2576040 ZBL1194.35017
-
(2010)
Applied Mathematical Sciences
, vol.4
, Issue.1-4
, pp. 109-118
-
-
Kiliçman, A.1
Eltayeb, H.2
-
48
-
-
77952568902
-
On Sumudu transform and system of differential equations
-
598702 10.1155/2010/598702 MR2609064 ZBL1197.34001
-
Kiliçman A., Eltayeb H., Agarwal R. P., On Sumudu transform and system of differential equations. Abstract and Applied Analysis 2010 11 598702 10.1155/2010/598702 MR2609064 ZBL1197.34001
-
(2010)
Abstract and Applied Analysis
, pp. 11
-
-
Kiliçman, A.1
Eltayeb, H.2
Agarwal, R.P.3
-
49
-
-
77951249953
-
A Sumudu based algorithm for solving differential equations
-
MR2387073 ZBL1187.34015
-
Zhang J., A Sumudu based algorithm for solving differential equations. Academy of Sciences of Moldova 2007 15 3 303 313 MR2387073 ZBL1187.34015
-
(2007)
Academy of Sciences of Moldova
, vol.15
, Issue.3
, pp. 303-313
-
-
Zhang, J.1
-
50
-
-
78650298757
-
Application of Sumudu transform in Schödinger equation occurring in quantum mechanics
-
MR2746288
-
Chaurasia V. B. L., Singh J., Application of Sumudu transform in Schödinger equation occurring in quantum mechanics. Applied Mathematical Sciences 2010 4 57-60 2843 2850 MR2746288
-
(2010)
Applied Mathematical Sciences
, vol.4
, Issue.57-60
, pp. 2843-2850
-
-
Chaurasia, V.B.L.1
Singh, J.2
-
52
-
-
34548384362
-
Numerical methods for nonlinear partial differential equations of fractional order
-
DOI 10.1016/j.apm.2006.10.025, PII S0307904X06002800
-
Odibat Z., Momani S., Numerical methods for nonlinear partial differential equations of fractional order. Applied Mathematical Modelling 2008 32 1 28 39 2-s2.0-34548384362 10.1016/j.apm.2006.10.025 (Pubitemid 47355246)
-
(2008)
Applied Mathematical Modelling
, vol.32
, Issue.1
, pp. 28-39
-
-
Odibat, Z.1
Momani, S.2
|