-
1
-
-
0038405057
-
Existence of positive solutions of nonlinear fractional differential equations
-
Babakhani A., and Gejji V.D. Existence of positive solutions of nonlinear fractional differential equations. J. Math. Anal. Appl. 278 (2003) 434-442
-
(2003)
J. Math. Anal. Appl.
, vol.278
, pp. 434-442
-
-
Babakhani, A.1
Gejji, V.D.2
-
2
-
-
3042905146
-
On the Korteweg-de Vries-Kuramoto-Sivashinsky equation
-
Biagioni H.A., Bona J.L., Iorio R.J., and Scialom M. On the Korteweg-de Vries-Kuramoto-Sivashinsky equation. Adv. Differential Equations 1 1 (January 1996) 1-20
-
(1996)
Adv. Differential Equations
, vol.1
, Issue.1
, pp. 1-20
-
-
Biagioni, H.A.1
Bona, J.L.2
Iorio, R.J.3
Scialom, M.4
-
3
-
-
10344261735
-
Distributed order time fractional diffusion equation
-
Chechkin A.V., Gorenflo R., Sokolov I.M., and Gonchar V.Yu. Distributed order time fractional diffusion equation. Fract. Calc. Appl. Anal. 6 3 (2003) 259-279
-
(2003)
Fract. Calc. Appl. Anal.
, vol.6
, Issue.3
, pp. 259-279
-
-
Chechkin, A.V.1
Gorenflo, R.2
Sokolov, I.M.3
Gonchar, V.Yu.4
-
4
-
-
41349088572
-
Retarding subdiffusion and accelerating superdiffusion governed by distributed-order fractional diffusion equations
-
046129/1-6
-
Chechkin A.V., Klafter J., and Sokolov I.M. Retarding subdiffusion and accelerating superdiffusion governed by distributed-order fractional diffusion equations. Phys. Rev. E 66 (2002) 046129/1-6
-
(2002)
Phys. Rev. E
, vol.66
-
-
Chechkin, A.V.1
Klafter, J.2
Sokolov, I.M.3
-
5
-
-
41349088572
-
Retarding subdiffusion and accelerating superdiffusion governed by distributed order fractional diffusion equations
-
046129/1-7
-
Chechkin A.V., Gorenflo R., and Sokolov I.M. Retarding subdiffusion and accelerating superdiffusion governed by distributed order fractional diffusion equations. Phys. Rev. E 66 (2002) 046129/1-7
-
(2002)
Phys. Rev. E
, vol.66
-
-
Chechkin, A.V.1
Gorenflo, R.2
Sokolov, I.M.3
-
6
-
-
23844442815
-
Existence of fractional differential equations
-
Cheng Y., and Guozhu G. Existence of fractional differential equations. J. Math. Anal. Appl. 310 (2005) 26-29
-
(2005)
J. Math. Anal. Appl.
, vol.310
, pp. 26-29
-
-
Cheng, Y.1
Guozhu, G.2
-
7
-
-
28044438186
-
On the solution of nonlinear fractional order differential equation
-
Cheng Y., and Guozhu G. On the solution of nonlinear fractional order differential equation. Nonlinear Anal. 63 (2005) e971-e976
-
(2005)
Nonlinear Anal.
, vol.63
-
-
Cheng, Y.1
Guozhu, G.2
-
8
-
-
25644448868
-
On the solutions of nonlinear stochastic fractional PDEs in one space dimension
-
Debbi L., and Dozzi M. On the solutions of nonlinear stochastic fractional PDEs in one space dimension. Stochastic Process. Appl. 115 (2005) 1764-1881
-
(2005)
Stochastic Process. Appl.
, vol.115
, pp. 1764-1881
-
-
Debbi, L.1
Dozzi, M.2
-
9
-
-
0037081673
-
Analysis of fractional differential equations
-
Diethelm K., and Ford N. Analysis of fractional differential equations. J. Math. Anal. Appl. 265 (2002) 229-248
-
(2002)
J. Math. Anal. Appl.
, vol.265
, pp. 229-248
-
-
Diethelm, K.1
Ford, N.2
-
10
-
-
0030528474
-
Existence and uniqueness for a nonlinear fractional differential equations
-
Delbroso D., and Rodino L. Existence and uniqueness for a nonlinear fractional differential equations. J. Math. Anal. Appl. 204 (1996) 609-625
-
(1996)
J. Math. Anal. Appl.
, vol.204
, pp. 609-625
-
-
Delbroso, D.1
Rodino, L.2
-
11
-
-
0011651497
-
Fractional calculus and function spaces
-
Delbroso D. Fractional calculus and function spaces. J. Fract. Calc. 6 (1996) 45-53
-
(1996)
J. Fract. Calc.
, vol.6
, pp. 45-53
-
-
Delbroso, D.1
-
12
-
-
2442548776
-
Analysis of a system of fractional differential equations
-
Gejji V.D., and Babakhani A. Analysis of a system of fractional differential equations. J. Math. Anal. Appl. 293 (2004) 511-522
-
(2004)
J. Math. Anal. Appl.
, vol.293
, pp. 511-522
-
-
Gejji, V.D.1
Babakhani, A.2
-
13
-
-
0002847893
-
Fractional calculus, integral and integrodifferential equations of fractional order
-
Carpinteri A., and Mainardi F. (Eds), Springer-Verlag, Wien, New York
-
Gorenflo R., and Mainardi F. Fractional calculus, integral and integrodifferential equations of fractional order. In: Carpinteri A., and Mainardi F. (Eds). Fractals and Fractional Calculus in Continuum Mechanics (1997), Springer-Verlag, Wien, New York 223-276
-
(1997)
Fractals and Fractional Calculus in Continuum Mechanics
, pp. 223-276
-
-
Gorenflo, R.1
Mainardi, F.2
-
14
-
-
34047155650
-
Continuous time random walk and parametric subordination in fractional diffusion
-
Gorenflo R., Mainardi F., and Vivoli A. Continuous time random walk and parametric subordination in fractional diffusion. Chaos Solitons Fractals 34 (2007) 87-103
-
(2007)
Chaos Solitons Fractals
, vol.34
, pp. 87-103
-
-
Gorenflo, R.1
Mainardi, F.2
Vivoli, A.3
-
15
-
-
34748813784
-
Fractional relaxation of distributed order
-
Novak M. (Ed), World Scientific, Singapore Proceedings of the Conference "FRACTAL 2006", Vienna, 12-15 February 2006
-
Gorenflo R., and Mainardi F. Fractional relaxation of distributed order. In: Novak M. (Ed). Complexus Mundi: Emergent Patterns in Nature (2006), World Scientific, Singapore 33-42 Proceedings of the Conference "FRACTAL 2006", Vienna, 12-15 February 2006
-
(2006)
Complexus Mundi: Emergent Patterns in Nature
, pp. 33-42
-
-
Gorenflo, R.1
Mainardi, F.2
-
16
-
-
0000361678
-
Random walk models for space fractional diffusion processes
-
Gorenflo R., and Mainardi F. Random walk models for space fractional diffusion processes. Fract. Calc. Appl. Anal. (1988) 167-191
-
(1988)
Fract. Calc. Appl. Anal.
, pp. 167-191
-
-
Gorenflo, R.1
Mainardi, F.2
-
17
-
-
0032647143
-
Discrete random walk models for symmetric Levy-Feller diffusion processes
-
Gorenflo R., and Mainardi F. Discrete random walk models for symmetric Levy-Feller diffusion processes. Phys. A 269 (1999) 78-89
-
(1999)
Phys. A
, vol.269
, pp. 78-89
-
-
Gorenflo, R.1
Mainardi, F.2
-
18
-
-
32044462506
-
The Cauchy and multipoint partial pseudo-differential equations of fractional order
-
Gorenflo R., Luchko Yu., and Umarov S. The Cauchy and multipoint partial pseudo-differential equations of fractional order. Fract. Calc. Appl. Anal. 3 3 (2000) 249-275
-
(2000)
Fract. Calc. Appl. Anal.
, vol.3
, Issue.3
, pp. 249-275
-
-
Gorenflo, R.1
Luchko, Yu.2
Umarov, S.3
-
19
-
-
0032115069
-
Nonlinear functional differential equations of arbitrary orders
-
El-Sayed A.M.A. Nonlinear functional differential equations of arbitrary orders. Nonlinear Anal. 33 (1998) 181-186
-
(1998)
Nonlinear Anal.
, vol.33
, pp. 181-186
-
-
El-Sayed, A.M.A.1
-
21
-
-
1242327688
-
Differential equations of fractional order: Methods, results and problems I
-
Kilbas A.A., and Trujillo J.J. Differential equations of fractional order: Methods, results and problems I. Appl. Anal. 78 (2001) 153-192
-
(2001)
Appl. Anal.
, vol.78
, pp. 153-192
-
-
Kilbas, A.A.1
Trujillo, J.J.2
-
22
-
-
25144514177
-
Differential equations of fractional order: Methods, results and problems II
-
Kilbas A.A., and Trujillo J.J. Differential equations of fractional order: Methods, results and problems II. Appl. Anal. 81 (2002) 435-493
-
(2002)
Appl. Anal.
, vol.81
, pp. 435-493
-
-
Kilbas, A.A.1
Trujillo, J.J.2
-
26
-
-
58149510910
-
Sub-diffusion equations of fractional order and their fundamental solutions
-
Tenreiro-Machado J.A., and Baleanu D. (Eds). Ankara, Turkey, April 27-29, Springer-Verlag
-
Mainardi F., Mura A., Pagnini G., and Gorenflo R. Sub-diffusion equations of fractional order and their fundamental solutions. In: Tenreiro-Machado J.A., and Baleanu D. (Eds). Proceedings Mathematical Methods in Engineering, International Symposium. Ankara, Turkey, April 27-29 (2006), Springer-Verlag 23-55
-
(2006)
Proceedings Mathematical Methods in Engineering, International Symposium
, pp. 23-55
-
-
Mainardi, F.1
Mura, A.2
Pagnini, G.3
Gorenflo, R.4
-
27
-
-
0001407424
-
The fundamental solution of the space-time fractional diffusion equation
-
Mainardi F., Luchko Yu., and Pagnini G. The fundamental solution of the space-time fractional diffusion equation. Fract. Calc. Appl. Anal. 4 2 (2001) 153-192
-
(2001)
Fract. Calc. Appl. Anal.
, vol.4
, Issue.2
, pp. 153-192
-
-
Mainardi, F.1
Luchko, Yu.2
Pagnini, G.3
-
28
-
-
25144469866
-
Fractional differential equations
-
Miller K.S. Fractional differential equations. J. Fract. Calc. 3 (1993) 49-57
-
(1993)
J. Fract. Calc.
, vol.3
, pp. 49-57
-
-
Miller, K.S.1
-
30
-
-
0040753037
-
The Sturm-Liouville problem for a second order ordinary differential equation with fractional derivatives in the lower terms
-
Nakhushev A.M. The Sturm-Liouville problem for a second order ordinary differential equation with fractional derivatives in the lower terms. Dokl. Akad. Nauk SSSR 234 (1977) 308-311
-
(1977)
Dokl. Akad. Nauk SSSR
, vol.234
, pp. 308-311
-
-
Nakhushev, A.M.1
-
34
-
-
33845193177
-
Fractional differential equations through Laguerre expansions in abstract spaces: Error estimates
-
Pilipović S., and Stojanović M. Fractional differential equations through Laguerre expansions in abstract spaces: Error estimates. Integral Transforms Spec. Funct. 17 12 (2006) 877-887
-
(2006)
Integral Transforms Spec. Funct.
, vol.17
, Issue.12
, pp. 877-887
-
-
Pilipović, S.1
Stojanović, M.2
-
35
-
-
0003244044
-
Fractional Differential Equations
-
Academic Press
-
Podlubny I. Fractional Differential Equations. Math. Sci. Eng. vol. 198 (1999), Academic Press
-
(1999)
Math. Sci. Eng.
, vol.198
-
-
Podlubny, I.1
-
36
-
-
58149294268
-
-
I. Podlubny, The Laplace transform method for linear differential equations of the fractional order, Inst. Exp. Phys. Slov. Acad. Sci., UEF-02-94, Kosice, 1994
-
I. Podlubny, The Laplace transform method for linear differential equations of the fractional order, Inst. Exp. Phys. Slov. Acad. Sci., UEF-02-94, Kosice, 1994
-
-
-
-
37
-
-
58149296769
-
-
M. Stojanović, R. Gorenflo, Explicit solutions to diffusion-wave problem (2008), submitted for publication
-
M. Stojanović, R. Gorenflo, Explicit solutions to diffusion-wave problem (2008), submitted for publication
-
-
-
-
39
-
-
0012072325
-
Operators of fractional integration and their applications
-
Srivastava H.M., and Saxena R.K. Operators of fractional integration and their applications. Appl. Math. Comput. 118 (2001) 1-52
-
(2001)
Appl. Math. Comput.
, vol.118
, pp. 1-52
-
-
Srivastava, H.M.1
Saxena, R.K.2
-
40
-
-
32044453310
-
Cauchy and nonlocal multi-point problems for distributed order pseudo-differential equations, part one
-
Umarov S., and Gorenflo R. Cauchy and nonlocal multi-point problems for distributed order pseudo-differential equations, part one. J. Anal. Appl. 245 3 (2005) 449-466
-
(2005)
J. Anal. Appl.
, vol.245
, Issue.3
, pp. 449-466
-
-
Umarov, S.1
Gorenflo, R.2
-
41
-
-
58149314783
-
-
S. Umarov, S. Steinberg, Random Walk Models Associated with Distributed Fractional Order Differential Equations, IMS Lecture Notes Monogr. Ser., Preprint
-
S. Umarov, S. Steinberg, Random Walk Models Associated with Distributed Fractional Order Differential Equations, IMS Lecture Notes Monogr. Ser., Preprint
-
-
-
-
42
-
-
0034670545
-
The existence of a positive solution for a nonlinear fractional differential equation
-
Zhang S.Q. The existence of a positive solution for a nonlinear fractional differential equation. J. Math. Anal. Appl. 252 (2000) 804-812
-
(2000)
J. Math. Anal. Appl.
, vol.252
, pp. 804-812
-
-
Zhang, S.Q.1
-
43
-
-
0037308989
-
Existence of positive solution for some class of nonlinear fractional differential equations
-
Zhang S.Q. Existence of positive solution for some class of nonlinear fractional differential equations. J. Math. Anal. Appl. 278 (2003) 136-148
-
(2003)
J. Math. Anal. Appl.
, vol.278
, pp. 136-148
-
-
Zhang, S.Q.1
|