-
2
-
-
85070413475
-
Boundary value problems for differential Inclusions with fractional order
-
to appear
-
R. P. Agarwal, M. Benchohra, and S. Hamani, Boundary value problems for differential Inclusions with fractional order. Adv. Stud. Contemp. Math. (to appear).
-
Adv. Stud. Contemp. Math.
-
-
Agarwal, R.P.1
Benchohra, M.2
Hamani, S.3
-
4
-
-
37349041073
-
Perturbed functional differential equations with fractional order
-
A. Belarbi, M. Benchohra, S. Hamani, and S. K. Ntouyas, Perturbed functional differential equations with fractional order. Commun. Appl. Anal. 11 (2007), No. 3-4, 429–440.
-
(2007)
Commun. Appl. Anal.
, vol.11
, Issue.3-4
, pp. 429-440
-
-
Belarbi, A.1
Benchohra, M.2
Hamani, S.3
Ntouyas, S.K.4
-
5
-
-
70350087351
-
Nonlinear boundary value problems for differential Inclusions with Caputo fractional derivative
-
to appear
-
M. Benchohra and S. Hamani, Nonlinear boundary value problems for differential Inclusions with Caputo fractional derivative. Topol. Methods Nonlinear Anal. (to appear).
-
Topol. Methods Nonlinear Anal.
-
-
Benchohra, M.1
Hamani, S.2
-
6
-
-
58249103422
-
Boundary value problems for differential equations with fractional order
-
M. Benchohra, S. Hamani, and S. K. Ntouyas, Boundary value problems for differential equations with fractional order. Surv. Math. Appl. 3 (2008), 1–12.
-
(2008)
Surv. Math. Appl.
, vol.3
, pp. 1-12
-
-
Benchohra, M.1
Hamani, S.2
Ntouyas, S.K.3
-
7
-
-
34547507349
-
Impulsive differential equations and inclusions
-
2. Hindawi Publishing Corporation, New York
-
M. Benchohra, J. Henderson, and S. Ntouyas, Impulsive differential equations and inclusions. Contemporary Mathematics and Its Applications, 2. Hindawi Publishing Corporation, New York, 2006.
-
(2006)
Contemporary Mathematics and Its Applications
-
-
Benchohra, M.1
Henderson, J.2
Ntouyas, S.3
-
8
-
-
34848916710
-
Existence results for fractional order functional differential equations with infinite delay
-
M. Benchohra, J. Henderson, S. K. Ntouyas and A. Ouahab, Existence results for fractional order functional differential equations with infinite delay. J. Math. Anal. Appl. 338 (2008), No. 2, 1340–1350.
-
(2008)
J. Math. Anal. Appl.
, vol.338
, Issue.2
, pp. 1340-1350
-
-
Benchohra, M.1
Henderson, J.2
Ntouyas, S.K.3
Ouahab, A.4
-
9
-
-
58149196822
-
Existence results for fractional functional differential inclusions with infinite delay and applications to control theory
-
M. Benchohra, J. Henderson, S. K. Ntouyas and A. Ouahab, Existence results for fractional functional differential inclusions with infinite delay and applications to control theory. Fract. Calc. Appl. Anal. 11 (2008), No. 1, 35–56.
-
(2008)
Fract. Calc. Appl. Anal.
, vol.11
, Issue.1
, pp. 35-56
-
-
Benchohra, M.1
Henderson, J.2
Ntouyas, S.K.3
Ouahab, A.4
-
11
-
-
0040676467
-
A fixed point theorem of Krasnoselskii–Schaefer type
-
T. A. Burton and C. Kirk, A fixed point theorem of Krasnoselskii–Schaefer type. Math. Nachr. 189 (1998), 23–31.
-
(1998)
Math. Nachr.
, vol.189
, pp. 23-31
-
-
Burton, T.A.1
Kirk, C.2
-
12
-
-
44949272606
-
Theorems about the existence and uniqueness of solutions of a semilinear evolution nonlocal Cauchy problem
-
L. Byszewski, Theorems about the existence and uniqueness of solutions of a semilinear evolution nonlocal Cauchy problem. J. Math. Anal. Appl. 162 (1991), No. 2, 494–505.
-
(1991)
J. Math. Anal. Appl.
, vol.162
, Issue.2
, pp. 494-505
-
-
Byszewski, L.1
-
13
-
-
0002601430
-
Existence and uniqueness of mild and classical solutions of semilinear functional-differential evolution nonlocal Cauchy problem
-
50th Anniv. Cracow Univ. Technol. Anniv. Issue, 6, Cracow Univ. Technol., Krakow
-
L. Byszewski, Existence and uniqueness of mild and classical solutions of semilinear functional-differential evolution nonlocal Cauchy problem. Selected problems of mathematics, 25–33, 50th Anniv. Cracow Univ. Technol. Anniv. Issue, 6, Cracow Univ. Technol., Krakow, 1995.
-
(1995)
Selected Problems of Mathematics
, pp. 25-33
-
-
Byszewski, L.1
-
14
-
-
84948514180
-
Theorem about the existence and uniqueness of a solution of a nonlocal abstract Cauchy problem in a Banach space
-
L. Byszewski and V. Lakshmikantham, Theorem about the existence and uniqueness of a solution of a nonlocal abstract Cauchy problem in a Banach space. Appl. Anal. 40 (1991), No. 1, 11–19.
-
(1991)
Appl. Anal.
, vol.40
, Issue.1
, pp. 11-19
-
-
Byszewski, L.1
Lakshmikantham, V.2
-
15
-
-
0030528474
-
Existence and uniqueness for a nonlinear fractional differential equation
-
D. Delbosco and L. Rodino, Existence and uniqueness for a nonlinear fractional differential equation. J. Math. Anal. Appl. 204 (1996), No. 2, 609–625.
-
(1996)
J. Math. Anal. Appl.
, vol.204
, Issue.2
, pp. 609-625
-
-
Delbosco, D.1
Rodino, L.2
-
16
-
-
0002795136
-
On the solution of nonlinear fractional order differential equations used in the modeling of viscoplasticity
-
F. Keil, W. Mackens, H. Voss, and J. Werther, Eds., Springer-Verlag, Heidelberg
-
K. Diethelm and A. D. Freed, On the solution of nonlinear fractional order differential equations used in the modeling of viscoplasticity. In “Scientifice Computing in Chemical Engineering II-Computational Fluid Dynamics, Reaction Engineering and Molecular Properties” (F. Keil, W. Mackens, H. Voss, and J. Werther, Eds.), pp. 217–224, Springer-Verlag, Heidelberg, 1999.
-
(1999)
Scientifice Computing in Chemical Engineering Ii-Computational Fluid Dynamics, Reaction Engineering and Molecular Properties
, pp. 217-224
-
-
Diethelm, K.1
Freed, A.D.2
-
17
-
-
0037081673
-
Analysis of fractional differential equations
-
K. Diethelm and N. J. Ford, Analysis of fractional differential equations. J. Math. Anal. Appl. 265 (2002), No. 2, 229–248.
-
(2002)
J. Math. Anal. Appl.
, vol.265
, Issue.2
, pp. 229-248
-
-
Diethelm, K.1
Ford, N.J.2
-
18
-
-
0043044718
-
Numerical solution of fractional order differential equations by extrapolation
-
K. Diethelm and G. Walz, Numerical solution of fractional order differential equations by extrapolation. Numer. Algorithms 16 (1997), No. 3-4, 231–253.
-
(1997)
Numer. Algorithms
, vol.16
, Issue.3-4
, pp. 231-253
-
-
Diethelm, K.1
Walz, G.2
-
19
-
-
0038086852
-
Fractional order evolution equations
-
A. M. A. El-Sayed, Fractional order evolution equations. J. Fract. Calc. 7 (1995), 89–100.
-
(1995)
J. Fract. Calc.
, vol.7
, pp. 89-100
-
-
El-Sayed, A.M.A.1
-
20
-
-
0030531939
-
Fractional-order diffusion-wave equation
-
A. M. A. El-Sayed, Fractional-order diffusion-wave equation. Internat. J. Theoret. Phys. 35 (1996), No. 2, 311–322.
-
(1996)
Internat. J. Theoret. Phys.
, vol.35
, Issue.2
, pp. 311-322
-
-
El-Sayed, A.M.A.1
-
21
-
-
0032115069
-
Nonlinear functional-differential equations of arbitrary orders
-
A. M. A. El-Sayed, Nonlinear functional-differential equations of arbitrary orders. Nonlinear Anal. 33 (1998), No. 2, 181–186.
-
(1998)
Nonlinear Anal
, vol.33
, Issue.2
, pp. 181-186
-
-
El-Sayed, A.M.A.1
-
23
-
-
0028878140
-
A fractional calculus approach of self-similar protein dynamics
-
W. G. Glockle and T.F. Nonnenmacher, A fractional calculus approach of self-similar protein dynamics. Biophys. J. 68 (1995), 46–53.
-
(1995)
Biophys. J.
, vol.68
, pp. 46-53
-
-
Glockle, W.G.1
Nonnenmacher, T.F.2
-
24
-
-
1842512912
-
-
Springer Monographs in Mathematics. Springer-Verlag, New York
-
A. Granas and J. Dugundji, Fixed point theory. Springer Monographs in Mathematics. Springer-Verlag, New York, 2003.
-
(2003)
Fixed Point Theory
-
-
Granas, A.1
Dugundji, J.2
-
25
-
-
33745869026
-
Physical interpretation of initial conditions for fractional differential equations with Riemann-Liouville fractional derivatives
-
N. Heymans and I. Podlubny, Physical interpretation of initial conditions for fractional differential equations with Riemann-Liouville fractional derivatives. Rheologica Acta 45 (2006), No. 5, 765–772.
-
(2006)
Rheologica Acta
, vol.45
, Issue.5
, pp. 765-772
-
-
Heymans, N.1
Podlubny, I.2
-
26
-
-
0003427295
-
-
(Edited by R. Hilfer). World Scientific Publishing Co., Inc., River Edge, NJ
-
R. Hilfer, Applications of fractional calculus in physics. (Edited by R. Hilfer). World Scientific Publishing Co., Inc., River Edge, NJ, 2000.
-
(2000)
Applications of Fractional Calculus in Physics
-
-
Hilfer, R.1
-
27
-
-
85070409906
-
Positive solutions of the semipositone Sturm-Liouville boundary value problem
-
electronic
-
E. R. Kaufmann and E. Mboumi, Positive solutions of the semipositone Sturm-Liouville boundary value problem. Commun. Math. Anal. 3 (2007), No. 1, 57–67 (electronic).
-
(2007)
Commun. Math. Anal.
, vol.3
, Issue.1
, pp. 57-67
-
-
Kaufmann, E.R.1
Mboumi, E.2
-
28
-
-
38149099031
-
Nonlinear differential equations with the Caputo fractional derivative in the space of continuously differentiable functions
-
English transl.: Differ. Equ. 41 (2005), No. 1, 84–89
-
A. A. Kilbas and S. A. Marzan, Nonlinear differential equations with the Caputo fractional derivative in the space of continuously differentiable functions. (Russian) Differ. Uravn. 41 (2005), No. 1, 82–86; English transl.: Differ. Equ. 41 (2005), No. 1, 84–89.
-
(2005)
(Russian) Differ. Uravn
, vol.41
, Issue.1
, pp. 82-86
-
-
Kilbas, A.A.1
Marzan, S.A.2
-
29
-
-
77956684069
-
Theory and applications of fractional differential equations
-
Elsevier Science B.V., Amsterdam
-
A. A. Kilbas, H. M. Srivastava, and J. J. Trujillo, Theory and applications of fractional differential equations. North-Holland Mathematics Studies, 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
-
31
-
-
79959412182
-
Basic theory of fractional differential equations
-
Theory, Methods (to appear)
-
V. Lakshmikantham and A. S. Vatsala, Basic theory of fractional differential equations. Nonlinear Anal. Theory, Methods (to appear).
-
Nonlinear Anal.
-
-
Lakshmikantham, V.1
Vatsala, A.S.2
-
32
-
-
37349014877
-
Theory of fractional differential inequalities and applications
-
V. Lakshmikantham and A. S. Vatsala, Theory of fractional differential inequalities and applications. Commun. Appl. Anal. 11 (2007), No. 3-4, 395–402.
-
(2007)
Commun. Appl. Anal.
, vol.11
, Issue.3-4
, pp. 395-402
-
-
Lakshmikantham, V.1
Vatsala, A.S.2
-
33
-
-
72149122159
-
General uniqueness and monotone iterative technique for fractional differential equations
-
to appear
-
V. Lakshmikantham and A. S. Vatsala, General uniqueness and monotone iterative technique for fractional differential equations. Appl. Math. Letters (to appear).
-
Appl. Math. Letters
-
-
Lakshmikantham, V.1
Vatsala, A.S.2
-
34
-
-
0001983732
-
Fractional calculus: Some basic problems in continuum and statistical mechanics. Fractals and fractional calculus in continuum mechanics (Udine, 1996)
-
Springer, Vienna
-
F. Mainardi, Fractional calculus: some basic problems in continuum and statistical mechanics. Fractals and fractional calculus in continuum mechanics (Udine, 1996), 291–348, CISM Courses and Lectures, 378, Springer, Vienna, 1997.
-
(1997)
CISM Courses and Lectures
, vol.378
, pp. 291-348
-
-
Mainardi, F.1
-
35
-
-
0001044887
-
Relaxation in filled polymers: A fractional calculus approach
-
F. Metzler, W. Schick, H. G. Kilian, and T. F. Nonnenmacher, Relaxation in filled polymers: A fractional calculus approach. J. Chem. Phys. 103 (1995), 7180– 7186.
-
(1995)
J. Chem. Phys.
, vol.103
, pp. 7180-7186
-
-
Metzler, F.1
Schick, W.2
Kilian, H.G.3
Nonnenmacher, T.F.4
-
36
-
-
0003492056
-
An introduction to the fractional calculus and fractional differential equations
-
John Wiley & Sons, Inc., New York
-
K. S. Miller and B. Ross, An introduction to the fractional calculus and fractional differential equations. A Wiley-Interscience Publication. John Wiley & Sons, Inc., New York, 1993.
-
(1993)
A Wiley-Interscience Publication
-
-
Miller, K.S.1
Ross, B.2
-
37
-
-
34848921672
-
Some comparison results for integro-fractional differential inequalities
-
S. M. Momani and S. B. Hadid, Some comparison results for integro-fractional differential inequalities. J. Fract. Calc. 24 (2003), 37–44.
-
(2003)
J. Fract. Calc.
, vol.24
, pp. 37-44
-
-
Momani, S.M.1
Hadid, S.B.2
-
38
-
-
17844385541
-
Some analytical properties of solutions of differential equations of noninteger order
-
S. M. Momani, S. B. Hadid and Z. M. Alawenh, Some analytical properties of solutions of differential equations of noninteger order. Int. J. Math. Math. Sci. 2004, No. 13-16, 697–701.
-
(2004)
Int. J. Math. Math. Sci.
, vol.13-16
, pp. 697-701
-
-
Momani, S.M.1
Hadid, S.B.2
Alawenh, Z.M.3
-
40
-
-
0003797958
-
Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
-
Academic Press, Inc., San Diego, CA
-
I. Podlubny, Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications. Mathematics in Science and Engineering, 198. Academic Press, Inc., San Diego, CA, 1999.
-
(1999)
Mathematics in Science and Engineering
, vol.198
-
-
Podlubny, I.1
-
41
-
-
0242354999
-
Geometric and physical interpretation of fractional integration and fractional differentiation. Dedicated to the 60th anniversary of Prof. Francesco Mainardi
-
I. Podlubny, Geometric and physical interpretation of fractional integration and fractional differentiation. Dedicated to the 60th anniversary of Prof. Francesco Mainardi. Fract. Calc. Appl. Anal. 5 (2002), No. 4, 367–386.
-
(2002)
Fract. Calc. Appl. Anal.
, vol.5
, Issue.4
, pp. 367-386
-
-
Podlubny, I.1
-
42
-
-
0036650890
-
Analogue realizations of fractional-order controllers. Fractional order calculus and its applications
-
I. Podlubny, I. Petráš, B. M. Vinagre, P. O’Leary, and L. Dorčák, Analogue realizations of fractional-order controllers. Fractional order calculus and its applications. Nonlinear Dynam. 29 (2002), No. 1-4, 281–296.
-
(2002)
Nonlinear Dynam
, vol.29
, Issue.1-4
, pp. 281-296
-
-
Podlubny, I.1
Petráš, I.2
Vinagre, B.M.3
O'Leary, P.4
Dorčák, L.5
-
43
-
-
0003598080
-
Fractional integrals and derivatives
-
Translated from the 1987 Russian original) Gordon and Breach Science Publishers, Yverdon
-
S. G. Samko, A. A. Kilbas, and O. I. Marichev, Fractional integrals and derivatives. Theory and applications. (Translated from the 1987 Russian original) Gordon and Breach Science Publishers, Yverdon, 1993.
-
(1993)
Theory and Applications
-
-
Samko, S.G.1
Kilbas, A.A.2
Marichev, O.I.3
-
44
-
-
0003895257
-
-
Series A: Monographs and Treatises, 14. World Scientific Publishing Co., Inc., River Edge, NJ
-
A. M. Samoilenko and N. A. Perestyuk, Impulsive differential equations. (Trans-lated from the Russian) World Scientific Series on Nonlinear Science. Series A: Monographs and Treatises, 14. World Scientific Publishing Co., Inc., River Edge, NJ, 1995.
-
(1995)
Impulsive Differential Equations. (Trans-Lated from the Russian) World Scientific Series on Nonlinear Science
-
-
Samoilenko, A.M.1
Perestyuk, N.A.2
-
45
-
-
23844442815
-
Existence of fractional differential equations
-
C. Yu and G. Gao, Existence of fractional differential equations. J. Math. Anal. Appl. 310 (2005), no. 1, 26–29.
-
(2005)
J. Math. Anal. Appl.
, vol.310
, Issue.1
, pp. 26-29
-
-
Yu, C.1
Gao, G.2
-
46
-
-
33645152919
-
Positive solutions for boundary-value problems of nonlinear fractional differential equations
-
(elec-tronic
-
S. Zhang, Positive solutions for boundary-value problems of nonlinear fractional differential equations. Electron. J. Differential Equations 2006, No. 36, 12 pp. (elec-tronic).
-
(2006)
Electron. J. Differential Equations
, vol.36
-
-
Zhang, S.1
|