-
1
-
-
77956684069
-
Theory and applications of fractional differential equations
-
Elsevier Science B.V., Amsterdam
-
Kilbas, AA, Srivastava, HM, Trujillo, JJ: Theory and Applications of Fractional Differential Equations. In North-Holland Mathematics Studies, vol. vol. 204,Elsevier Science B.V., Amsterdam (2006)
-
(2006)
North-Holland Mathematics Studies
, vol.204
-
-
Kilbas, A.A.1
Srivastava, H.M.2
Trujillo, J.J.3
-
2
-
-
67349233358
-
-
Cambridge Academic Publishers, Cambridge
-
Lakshmikantham, V, Leela, S, Devi, JV: Theory of Fractional Dynamic Systems. Cambridge Academic Publishers, Cambridge (2009)
-
(2009)
Theory of Fractional Dynamic Systems
-
-
Lakshmikantham, V.1
Leela, S.2
Devi, J.V.3
-
4
-
-
65049084831
-
-
World Scientific Boston
-
Baleanu, D, Diethelm, K, Scalas, E, Trujillo, JJ: Fractional Calculus Models and Numerical Methods Series on Complexity, Nonlinearity and Chaos. World Scientific, Boston (2012)
-
(2012)
Fractional Calculus Models and Numerical Methods Series on Complexity Nonlinearity and Chaos
-
-
Baleanu, D.1
Diethelm, K.2
Scalas, E.3
Trujillo, J.J.4
-
5
-
-
68349123813
-
Existence of solutions for fractional differential inclusions with anti-periodic boundary conditions
-
Article ID 625347
-
Ahmad, B, Otero-Espinar, V: Existence of solutions for fractional differential inclusions with anti-periodic boundary conditions. Bound Value Probl 2009, 11 (2009). (Article ID 625347)
-
(2009)
Bound Value Probl 2009
, vol.11
-
-
Ahmad, B.1
Otero-Espinar, V.2
-
6
-
-
67650110018
-
A survey on semilinear differential equations and inclusions involving Riemann-Liouville fractional derivative
-
Article ID 981728
-
Agarwal, RP, Belmekki, M, Benchohra, M: A survey on semilinear differential equations and inclusions involving Riemann-Liouville fractional derivative. Adv Diff Equ 2009, 47 (2009). (Article ID 981728)
-
(2009)
Adv Diff Equ 2009
, vol.47
-
-
Agarwal, R.P.1
Belmekki, M.2
Benchohra, M.3
-
7
-
-
58049138945
-
Some new existence results for fractional differential inclusions with boundary conditions
-
doi:10.1016/j.mcm.2008.03.014
-
Chang, YK, Nieto, JJ: Some new existence results for fractional differential inclusions with boundary conditions. Math Comput Model. 49, 605-609 (2009). doi:10.1016/j.mcm.2008.03.014
-
(2009)
Math Comput Model.
, vol.49
, pp. 605-609
-
-
Chang, Y.K.1
Nieto, J.J.2
-
8
-
-
77951430590
-
On type of peri-odicity and ergodicity to a class of fractional order differential equations
-
Article ID 179750
-
Agarwal, RP, Andrade, B, Cuevas, C: On type of peri-odicity and ergodicity to a class of fractional order differential equations. Adv Diff Equ 2010, 25 (2010). (Article ID 179750)
-
(2010)
Adv Diff Equ 2010
, vol.25
-
-
Agarwal, R.P.1
Andrade, B.2
Cuevas, C.3
-
9
-
-
71649083074
-
On positive solutions of a nonlocal fractional boundary value problem
-
doi:10.1016/j.na.2009.07.033
-
Bai, B: On positive solutions of a nonlocal fractional boundary value problem. Nonlinear Anal. 72, 916-924 (2010). doi:10.1016/j.na.2009.07.033
-
(2010)
Nonlinear Anal.
, vol.72
, pp. 916-924
-
-
Bai, B.1
-
10
-
-
74149089358
-
Positive solutions to singular boundary value problem for nonlinear fractional differential equation
-
doi:10.1016/j.camwa.2009.06.034
-
Zhang, S: Positive solutions to singular boundary value problem for nonlinear fractional differential equation. Comput Math Appl. 59, 1300-1309 (2010). doi:10.1016/j.camwa.2009.06.034
-
(2010)
Comput Math Appl.
, vol.59
, pp. 1300-1309
-
-
Zhang, S.1
-
11
-
-
77950369029
-
The nonlocal Cauchy problem for nonlinear fractional integrodifferential equations in Banach spaces
-
doi:10.1016/j.na.2010.02.035
-
Balachandran, K, Trujillo, JJ: The nonlocal Cauchy problem for nonlinear fractional integrodifferential equations in Banach spaces. Nonlinear Anal. 72, 4587-4593 (2010). doi:10.1016/j.na.2010.02.035
-
(2010)
Nonlinear Anal.
, vol.72
, pp. 4587-4593
-
-
Balachandran, K.1
Trujillo, J.J.2
-
12
-
-
77955512416
-
Weighted pseudo-almost periodic solutions of a class of semilinear fractional differential equations
-
doi:10.1016/j.nonrwa.2010.01.002
-
Agarwal, RP, Andrade, B, Cuevas, C: Weighted pseudo-almost periodic solutions of a class of semilinear fractional differential equations. Nonlinear Anal Real World Appl. 11, 3532-3554 (2010). doi:10.1016/j.nonrwa.2010.01.002
-
(2010)
Nonlinear Anal Real World Appl.
, vol.11
, pp. 3532-3554
-
-
Agarwal, R.P.1
Andrade, B.2
Cuevas, C.3
-
13
-
-
77955713929
-
On four-point nonlocal boundary value problems of nonlinear integro-differential equations of fractional order
-
doi:10.1016/j.amc.2010.05.080
-
Ahmad, B, Sivasundaram, S: On four-point nonlocal boundary value problems of nonlinear integro-differential equations of fractional order. Appl Math Comput. 217, 480-487 (2010). doi:10.1016/j.amc.2010.05.080
-
(2010)
Appl Math Comput.
, vol.217
, pp. 480-487
-
-
Ahmad, B.1
Sivasundaram, S.2
-
14
-
-
77953683625
-
An existence result for a superlinear fractional differential equation
-
doi:10.1016/j.aml.2010.04.049
-
Baleanu, D, Mustafa, OG, Agarwal, RP: An existence result for a superlinear fractional differential equation. Appl Math Lett. 23, 1129-1132 (2010). doi:10.1016/j.aml.2010.04.049
-
(2010)
Appl Math Lett.
, vol.23
, pp. 1129-1132
-
-
Baleanu, D.1
Mustafa, O.G.2
Agarwal, R.P.3
-
15
-
-
78649549013
-
On the solution set for a class of sequential fractional differential equations
-
Article ID 385209
-
Baleanu, D, Mustafa, OG, Agarwal, RP: On the solution set for a class of sequential fractional differential equations. J Phys A 43(38):7 (2010). (Article ID 385209)
-
(2010)
J Phys A
, vol.43
, Issue.38
, pp. 7
-
-
Baleanu, D.1
Mustafa, O.G.2
Agarwal, R.P.3
-
16
-
-
78650811036
-
On the existence of solutions for nonconvex fractional hyperbolic differential inclusions
-
Cernea, A: On the existence of solutions for nonconvex fractional hyperbolic differential inclusions. Commun Math Anal. 9(1):109-120 (2010)
-
(2010)
Commun Math Anal.
, vol.9
, Issue.1
, pp. 109-120
-
-
Cernea, A.1
-
17
-
-
77958541432
-
Existence results for fractional differential inclusions with separated boundary conditions
-
doi:10.4134/BKMS.2010.47.4.805
-
Ahmad, B: Existence results for fractional differential inclusions with separated boundary conditions. Bull Kor Math Soc. 47, 805-813 (2010). doi:10.4134/BKMS.2010.47.4.805
-
(2010)
Bull Kor Math Soc.
, vol.47
, pp. 805-813
-
-
Ahmad, B.1
-
18
-
-
85087595614
-
Some existence results for boundary value problems fractional differential inclusions with nonseparated boundary conditions
-
Ahmad, B, Ntouyas, SK: Some existence results for boundary value problems fractional differential inclusions with nonseparated boundary conditions. Electron J Qual Theory Diff Equ. 71, 1-17 (2010)
-
(2010)
Electron J Qual Theory Diff Equ.
, vol.71
, pp. 1-17
-
-
Ahmad, B.1
Ntouyas, S.K.2
-
19
-
-
85087539117
-
A four-point nonlocal integral boundary value problem for fractional differential equations of arbitrary order
-
Ahmad, B, Ntouyas, SK: A four-point nonlocal integral boundary value problem for fractional differential equations of arbitrary order. Electron J Qual Theory Diff Equ. 22, 1-15 (2011)
-
(2011)
Electron J Qual Theory Diff Equ.
, vol.22
, pp. 1-15
-
-
Ahmad, B.1
Ntouyas, S.K.2
-
21
-
-
79959203803
-
Boundary value problems for q-difference inclusions
-
Article ID 292860
-
Ahmad, B, Ntouyas, SK: Boundary value problems for q-difference inclusions. Abstr Appl Anal 2011, 15 (2011). (Article ID 292860)
-
(2011)
Abstr Appl Anal 2011
, vol.15
-
-
Ahmad, B.1
Ntouyas, S.K.2
-
22
-
-
79960976705
-
Existence theory for anti-periodic boundary value problems of fractional differential equations and inclusions
-
doi:10.1016/j.camwa.2011.03.001
-
Agarwal, RP, Ahmad, B: Existence theory for anti-periodic boundary value problems of fractional differential equations and inclusions. Comput Math Appl. 62, 1200-1214 (2011). doi:10.1016/j.camwa.2011.03.001
-
(2011)
Comput Math Appl.
, vol.62
, pp. 1200-1214
-
-
Agarwal, R.P.1
Ahmad, B.2
-
23
-
-
79960994576
-
Some boundary value problems of fractional differential equations and inclusions
-
doi:10.1016/j.camwa.2011.02.035
-
Ahmad, B, Nieto, JJ, Pimentel, J: Some boundary value problems of fractional differential equations and inclusions. Comput Math Appl. 62, 1238-1250 (2011). doi:10.1016/j.camwa.2011.02.035
-
(2011)
Comput Math Appl.
, vol.62
, pp. 1238-1250
-
-
Ahmad, B.1
Nieto, J.J.2
Pimentel, J.3
-
24
-
-
84863447182
-
Riemann-Liouville fractional integro-differential equations with fractional nonlocal integral boundary conditions
-
Ahmad, B, Nieto, JJ: Riemann-Liouville fractional integro-differential equations with fractional nonlocal integral boundary conditions. Bound Value Probl. 2011(36):9 (2011)
-
(2011)
Bound Value Probl.
, vol.2011
, Issue.36
, pp. 9
-
-
Ahmad, B.1
Nieto, J.J.2
-
25
-
-
78349280366
-
Existence and uniqueness of solutions for coupled systems of higher-order nonlinear fractional differential equations
-
Article ID 364560
-
Ahmad, B, Alsaedi, A: Existence and uniqueness of solutions for coupled systems of higher-order nonlinear fractional differential equations. Fixed Point Theory Appl 2010, 17 (2011). (Article ID 364560)
-
(2011)
Fixed Point Theory Appl 2010
, vol.17
-
-
Ahmad, B.1
Alsaedi, A.2
-
26
-
-
79960983725
-
Existence results for a fractional neutral integro-differential equations with state-dependent delay
-
Santos, JPC, Cuevas, C, Arjunan, M: Existence results for a fractional neutral integro-differential equations with state-dependent delay. Comput Math Appl. 62, 275-1283 (2011)
-
(2011)
Comput Math Appl.
, vol.62
, pp. 275-1283
-
-
Santos, J.P.C.1
Cuevas, C.2
Arjunan, M.3
-
29
-
-
0004217794
-
-
World Scientific Singapore
-
Coffey, WT, Kalmykov, YP, Waldron, JT: The Langevin Equation. World Scientific, Singapore, 2 (2004)
-
(2004)
The Langevin Equation
, vol.2
-
-
Coffey, W.T.1
Kalmykov, Y.P.2
Waldron, J.T.3
-
30
-
-
0000826626
-
Long-time-correlation effects and biased anomalous diffusion
-
doi:10.1103/PhysRevA.45.833
-
Wang, KG: Long-time-correlation effects and biased anomalous diffusion. Phys Rev A. 45, 833-837 (1992). doi:10.1103/PhysRevA.45.833
-
(1992)
Phys Rev A.
, vol.45
, pp. 833-837
-
-
Wang, K.G.1
-
31
-
-
0000222069
-
Generalized Langevin equations: Anomalous diffusion and probability distributions
-
doi:10.1103/PhysRevE.53.5872
-
Porra, JM, Wang, KG, Masoliver, J: Generalized Langevin equations: anomalous diffusion and probability distributions. Phys Rev E. 53, 5872-5881 (1996). doi:10.1103/PhysRevE.53.5872
-
(1996)
Phys Rev E.
, vol.53
, pp. 5872-5881
-
-
Porra, J.M.1
Wang, K.G.2
Masoliver, J.3
-
32
-
-
0032625656
-
Nonequilibrium statistical description of anomalous diffusion
-
doi:10.1016/S0378-4371(98)00644-X
-
Wang, KG, Tokuyama, M: Nonequilibrium statistical description of anomalous diffusion. Phys A. 265, 341-351 (1999). doi:10.1016/S0378-4371(98) 00644-X
-
(1999)
Phys A.
, vol.265
, pp. 341-351
-
-
Wang, K.G.1
Tokuyama, M.2
-
33
-
-
0035509430
-
Fractional Langevin equation
-
Lutz, E: Fractional Langevin equation. Phys Rev E. 64, 051106 (2001)
-
(2001)
Phys Rev E.
, vol.64
, pp. 051106
-
-
Lutz, E.1
-
34
-
-
33745464287
-
Generalized Langevin equation with fractional derivative and long-time correlation function
-
Fa, KS: Generalized Langevin equation with fractional derivative and long-time correlation function. Phys Rev. 73, 061104 (2006)
-
(2006)
Phys Rev.
, vol.73
, pp. 061104
-
-
Fa, K.S.1
-
35
-
-
36749074902
-
Fractional Langevin equation and Riemann-Liouville fractional derivative
-
doi:10.1140/epje/i2007-10224-2
-
Fa, KS: Fractional Langevin equation and Riemann-Liouville fractional derivative. Eur Phys J E. 24, 139-143 (2007). doi:10.1140/epje/i2007-10224-2
-
(2007)
Eur Phys J E.
, vol.24
, pp. 139-143
-
-
Fa, K.S.1
-
36
-
-
0034414111
-
Fractional Langevin equation to describe anomalous diffusion
-
Kobolev, V, Romanov, E: Fractional Langevin equation to describe anomalous diffusion. Prog Theo Phys Suppl. 139, 470-476 (2000)
-
(2000)
Prog Theo Phys Suppl.
, vol.139
, pp. 470-476
-
-
Kobolev, V.1
Romanov, E.2
-
37
-
-
41349104439
-
Self-similar Gaussian processes for modeling anomalous diffusion
-
Lim, SC, Muniandy, SV: Self-similar Gaussian processes for modeling anomalous diffusion. Phys Rev E. 66, 021114 (2002)
-
(2002)
Phys Rev E.
, vol.66
, pp. 021114
-
-
Lim, S.C.1
Muniandy, S.V.2
-
38
-
-
45849155458
-
Fractional Langevin model of memory in financial markets
-
Picozzi, S, West, B: Fractional Langevin model of memory in financial markets. Phys Rev E. 66, 046118 (2002)
-
(2002)
Phys Rev E.
, vol.66
, pp. 046118
-
-
Picozzi, S.1
West, B.2
-
39
-
-
34547313503
-
Locally self-similar fractional oscillator processes
-
doi:10.1142/S0219477507003817
-
Lim, SC, Li, M, Teo, LP: Locally self-similar fractional oscillator processes. Fluc Noise Lett. 7, 169-179 (2007). doi:10.1142/S0219477507003817
-
(2007)
Fluc Noise Lett.
, vol.7
, pp. 169-179
-
-
Lim, S.C.1
Li, M.2
Teo, L.P.3
-
40
-
-
52349118652
-
Langevin equation with two fractional orders
-
doi:10.1016/j.physleta.2008.08.045
-
Lim, SC, Li, M, Teo, LP: Langevin equation with two fractional orders. Phys Lett A. 372, 6309-6320 (2008). doi:10.1016/j.physleta.2008.08.045
-
(2008)
Phys Lett A.
, vol.372
, pp. 6309-6320
-
-
Lim, S.C.1
Li, M.2
Teo, L.P.3
-
41
-
-
64549125064
-
The fractional oscillator process with two indices
-
doi:10.1088/1751-8113/42/6/065208
-
Lim, SC, Teo, LP: The fractional oscillator process with two indices. J Phys A Math Theory. 42, 065208 (2009). doi:10.1088/1751-8113/42/6/065208
-
(2009)
J Phys A Math Theory.
, vol.42
, pp. 065208
-
-
Lim, S.C.1
Teo, L.P.2
-
42
-
-
77956906008
-
Solvability of nonlinear Langevin equation involving two fractional orders with Dirichlet boundary conditions
-
Article ID 649486
-
Ahmad, B, Nieto, JJ: Solvability of nonlinear Langevin equation involving two fractional orders with Dirichlet boundary conditions. Int J Diff Equ 2010, 2 (2010). (Article ID 649486)
-
(2010)
Int J Diff Equ 2010
, vol.2
-
-
Ahmad, B.1
Nieto, J.J.2
-
43
-
-
78649669022
-
Generalized Langevin equation revisited: Mechanical random force and self-consistent structure
-
Article ID 455003
-
Uranagase, M, Munakata, T: Generalized Langevin equation revisited: mechanical random force and self-consistent structure. J Phys A Math Theor 43, 11 (2010). (Article ID 455003)
-
(2010)
J Phys A Math Theor
, vol.43
, pp. 11
-
-
Uranagase, M.1
Munakata, T.2
-
44
-
-
77953735241
-
Langevin equation with super-heavy-tailed noise
-
Article ID 285004
-
Denisov, SI, Kantz, H, Hänggi, P: Langevin equation with super-heavy-tailed noise. J Phys A: Math Theor 43, 10 (2010). (Article ID 285004)
-
(2010)
J Phys A: Math Theor
, vol.43
, pp. 10
-
-
Denisov, S.I.1
Kantz, H.2
Hänggi, P.3
-
45
-
-
78650753027
-
The langevin and fokker-planck equations in polymer rheology
-
Elsevier, Amsterdam
-
Lozinski, A, Owens, RG, Phillips, TN: The Langevin and Fokker-Planck Equations in Polymer Rheology. In Handbook of Numerical Analysis, vol. vol. 16, pp. 211-303.Elsevier, Amsterdam (2011)
-
(2011)
Handbook of Numerical Analysis
, vol.16
, pp. 211-303
-
-
Lozinski, A.1
Owens, R.G.2
Phillips, T.N.3
-
46
-
-
77952338160
-
Foundation of fractional Langevin equation: Harmonization of a many-body problem
-
Article ID 051118
-
Lizana, L, Ambjörnsson, T, Taloni, A, Barkai, E, Lomholt, MA: Foundation of fractional Langevin equation: harmonization of a many-body problem. Phys Rev E 81, 8 (2010). (Article ID 051118)
-
(2010)
Phys Rev e
, vol.81
, pp. 8
-
-
Lizana, L.1
Ambjörnsson, T.2
Taloni, A.3
Barkai, E.4
Lomholt, M.A.5
-
47
-
-
80054946851
-
A study of nonlinear Langevin equation involving two fractional orders in different intervals
-
doi:10.1016/j.nonrwa.2011.07.052
-
Ahmad, B, Nieto, JJ, Alsaedi, A, El-Shahed, M: A study of nonlinear Langevin equation involving two fractional orders in different intervals. Nonlinear Anal Real World Appl. 13, 599-606 (2012). doi:10.1016/j.nonrwa.2011. 07.052
-
(2012)
Nonlinear Anal Real World Appl.
, vol.13
, pp. 599-606
-
-
Ahmad, B.1
Nieto, J.J.2
Alsaedi, A.3
El-Shahed, M.4
-
51
-
-
0000017706
-
An application of the Kakutani-Ky Fan theorem in the theory of ordinary differential equations
-
Lasota, A, Opial, Z: An application of the Kakutani-Ky Fan theorem in the theory of ordinary differential equations. Bull Acad Polon Sci Ser Sci Math Astronom Phys. 13, 781-786 (1965)
-
(1965)
Bull Acad Polon Sci ser Sci Math Astronom Phys.
, vol.13
, pp. 781-786
-
-
Lasota, A.1
Opial, Z.2
-
53
-
-
0002110530
-
Extensions and selections of maps with decomposable values
-
Bressan, A, Colombo, G: Extensions and selections of maps with decomposable values. Studia Math. 90, 69-86 (1988)
-
(1988)
Studia Math.
, vol.90
, pp. 69-86
-
-
Bressan, A.1
Colombo, G.2
-
54
-
-
51249191814
-
Multivalued contraction mappings in generalized metric spaces
-
doi:10.1007/BF02771543
-
Covitz, H, SNadler, SB Jr: Multivalued contraction mappings in generalized metric spaces. Israel J Math. 8, 5-11 (1970). doi:10.1007/BF02771543
-
(1970)
Israel J Math.
, vol.8
, pp. 5-11
-
-
Covitz, H.S.1
Nadler Jr., S.B.2
-
55
-
-
79955034758
-
Convergence of iterative sequences for fixed point and variational inclusion problems
-
(Article ID 368137). doi:10.1186/1687-1812-2011-15
-
Yu, L, Liang, M: Convergence of iterative sequences for fixed point and variational inclusion problems. Fixed Point Theory Appl 2011, 15 (2011). (Article ID 368137). doi:10.1186/1687-1812-2011-15
-
(2011)
Fixed Point Theory Appl 2011
, vol.15
-
-
Yu, L.1
Liang, M.2
-
56
-
-
84864840170
-
The existence of fixed points for new nonlinear multivalued maps and their applications
-
doi:10.1186/1687-1812-2011-84
-
He, Z, Du, WS, Lin, IJ: The existence of fixed points for new nonlinear multivalued maps and their applications. Fixed Point Theory Appl. 2011, 84 (2011). doi:10.1186/1687-1812-2011-84
-
(2011)
Fixed Point Theory Appl.
, vol.2011
, pp. 84
-
-
He, Z.1
Du, W.S.2
Lin, I.J.3
-
57
-
-
0003211244
-
Convex analysis and measurable multifunctions
-
Springer-Verlag, Berlin/Heidelberg/New York
-
Castaing, C, Valadier, M: Convex Analysis and Measurable Multifunctions. Lecture Notes in Mathematics 580. Springer-Verlag, Berlin/Heidelberg/New York (1977)
-
(1977)
Lecture Notes in Mathematics
, vol.580
-
-
Castaing, C.1
Valadier, M.2
|