-
1
-
-
0002795136
-
On the solution of non-linear fractional order differential equations used in the modeling of viscoplasticity
-
Keil F., Mackens W., Voss H., Werther J., (eds), Heidelberg: Springer-Verlag, and,. Edited by
-
Diethelm, K, and Freed, AD. 1999. “ On the solution of non-linear fractional order differential equations used in the modeling of viscoplasticity ”. In Scientific Computing in Chemical Engineering II-Computational Fluid Dynamics, Reaction Engineering and Molecular Properties, Edited by: Keil, F, Mackens, W, Voss, H, and Werther, J. 217–224. Heidelberg: Springer-Verlag.
-
(1999)
Scientific Computing in Chemical Engineering II-Computational Fluid Dynamics, Reaction Engineering and Molecular Properties
, pp. 217-224
-
-
Diethelm, K.1
Freed, A.D.2
-
2
-
-
44949282247
-
Damping description involving fractional operators
-
Gaul, L, Klein, P, and Kempfle, S. 1991. Damping description involving fractional operators. Mech. Systems Signal Processing, 5: 81–88.
-
(1991)
Mech. Systems Signal Processing
, vol.5
, pp. 81-88
-
-
Gaul, L.1
Klein, P.2
Kempfle, S.3
-
3
-
-
0028878140
-
A fractional calculus approach of self-similar protein dynamics
-
Glockle, WG, and Nonnenmacher, TF. 1995. A fractional calculus approach of self-similar protein dynamics. Biophys. J., 68: 46–53.
-
(1995)
Biophys. J.
, vol.68
, pp. 46-53
-
-
Glockle, W.G.1
Nonnenmacher, T.F.2
-
5
-
-
0001983732
-
Fractional calculus: Some basic problems in continuum and statistical mechanics
-
Carpinteri A., Mainardi F., (eds), Wien: Springer-Verlag,. Edited by
-
Mainardi, F. 1997. “ Fractional calculus: Some basic problems in continuum and statistical mechanics ”. In Fractals and Fractional Calculus in Continuum Mechanics, Edited by: Carpinteri, A, and Mainardi, F. 291–348. Wien: Springer-Verlag.
-
(1997)
Fractals and Fractional Calculus in Continuum Mechanics
, pp. 291-348
-
-
Mainardi, F.1
-
6
-
-
0001044887
-
Relaxation in filled polymers: A fractional calculus approach
-
Metzler, F. 1995. Relaxation in filled polymers: A fractional calculus approach. J. Chem. Phys., 103: 7180–7186.
-
(1995)
J. Chem. Phys.
, vol.103
, pp. 7180-7186
-
-
Metzler, F.1
-
8
-
-
77956684069
-
Theory and Applications of Fractional Differential Equations
-
Amsterdam: Elsevier Science B.V., and,. In
-
Kilbas, AA, Srivastava, HM, and Trujillo, JJ. 2006. “ Theory and Applications of Fractional Differential Equations ”. In North-Holland Mathematics Studies, Vol. 204, Amsterdam: Elsevier Science B.V.
-
(2006)
North-Holland Mathematics Studies
, vol.204
-
-
Kilbas, A.A.1
Srivastava, H.M.2
Trujillo, J.J.3
-
10
-
-
0003598080
-
Fractional Integrals and Derivatives
-
Yverdon: Gordon and Breach, and,. In
-
Samko, SG, Kilbas, AA, and Marichev, OI. 1993. “ Fractional Integrals and Derivatives ”. In Theory and Applications, Yverdon: Gordon and Breach.
-
(1993)
Theory and Applications
-
-
Samko, S.G.1
Kilbas, A.A.2
Marichev, O.I.3
-
11
-
-
42649131330
-
Boundary value problems for differential inclusions with fractional order
-
Agarwal, RP, Benchohra, M, and Hamani, S. 2008. Boundary value problems for differential inclusions with fractional order. Adv. Stud. Contemp. Math, 16: 181–196.
-
(2008)
Adv. Stud. Contemp. Math
, vol.16
, pp. 181-196
-
-
Agarwal, R.P.1
Benchohra, M.2
Hamani, S.3
-
12
-
-
70350087351
-
Nonlinear boundary value problems for differential inclusions with Caputo fractional derivative
-
to appear
-
Benchohra, M, and Hamani, S. Nonlinear boundary value problems for differential inclusions with Caputo fractional derivative. Topol. Meth. Nonlinear Anal, (to appear)
-
Topol. Meth. Nonlinear Anal
-
-
Benchohra, M.1
Hamani, S.2
-
13
-
-
0030528474
-
Existence and uniqueness for a non-linear fractional differential equation
-
Delbosco, D, and Rodino, L. 1996. Existence and uniqueness for a non-linear fractional differential equation. J. Math. Anal. Appl., 204: 609–625.
-
(1996)
J. Math. Anal. Appl.
, vol.204
, pp. 609-625
-
-
Delbosco, D.1
Rodino, L.2
-
14
-
-
0037081673
-
Analysis of fractional differential equations
-
Diethelm, K, and Ford, NJ. 2002. Analysis of fractional differential equations. J. Math. Anal. Appl., 265: 229–248.
-
(2002)
J. Math. Anal. Appl.
, vol.265
, pp. 229-248
-
-
Diethelm, K.1
Ford, N.J.2
-
15
-
-
0043044718
-
Numerical solution of fractional order differential equations by extrapolation
-
Diethelm, K, and Walz, G. 1997. Numerical solution of fractional order differential equations by extrapolation. Numer. Algorithms, 16: 231–253.
-
(1997)
Numer. Algorithms
, vol.16
, pp. 231-253
-
-
Diethelm, K.1
Walz, G.2
-
16
-
-
0038086852
-
Fractional order evolution equations
-
El-Sayed, AMA. 1995. Fractional order evolution equations. J. Fract. Calc., 7: 89–100.
-
(1995)
J. Fract. Calc.
, vol.7
, pp. 89-100
-
-
El-Sayed, A.M.A.1
-
17
-
-
0030531939
-
Fractional order diffusion-wave equations
-
El-Sayed, AMA. 1996. Fractional order diffusion-wave equations. Intern. J. Theo. Physics, 35: 311–322.
-
(1996)
Intern. J. Theo. Physics
, vol.35
, pp. 311-322
-
-
El-Sayed, A.M.A.1
-
18
-
-
0032115069
-
Nonlinear functional differential equations of arbitrary orders
-
El-Sayed, AMA. 1998. Nonlinear functional differential equations of arbitrary orders. Nonlinear Anal., 33: 181–186.
-
(1998)
Nonlinear Anal.
, vol.33
, pp. 181-186
-
-
El-Sayed, A.M.A.1
-
19
-
-
58249115464
-
Positive solutions of a boundary value problem for a non-linear fractional differential equation
-
Kaufmann, ER, and Mboumi, E. 2007. Positive solutions of a boundary value problem for a non-linear fractional differential equation. Electron. J. Qual. Theory Differ. Equ., 3: 11
-
(2007)
Electron. J. Qual. Theory Differ. Equ.
, vol.3
, pp. 11
-
-
Kaufmann, E.R.1
Mboumi, E.2
-
20
-
-
17444382726
-
Nonlinear differential equations with the Caputo fractional derivative in the space of continuously differentiable functions
-
Kilbas, AA, and Marzan, SA. 2005. Nonlinear differential equations with the Caputo fractional derivative in the space of continuously differentiable functions. Differ. Equ., 41: 84–89.
-
(2005)
Differ. Equ.
, vol.41
, pp. 84-89
-
-
Kilbas, A.A.1
Marzan, S.A.2
-
21
-
-
34848921672
-
Some comparison results for integro-fractional differential inequalities
-
Momani, SM, and Hadid, SB. 2003. Some comparison results for integro-fractional differential inequalities. J. Fract. Calc., 24: 37–44.
-
(2003)
J. Fract. Calc.
, vol.24
, pp. 37-44
-
-
Momani, S.M.1
Hadid, S.B.2
-
22
-
-
17844385541
-
Some analytical properties of solutions of differential equations of noninteger order
-
Momani, SM, Hadid, SB, and Alawenh, ZM. 2004. Some analytical properties of solutions of differential equations of noninteger order. Int. J. Math. Math. Sci., 2004: 697–701.
-
(2004)
Int. J. Math. Math. Sci.
, vol.2004
, pp. 697-701
-
-
Momani, S.M.1
Hadid, S.B.2
Alawenh, Z.M.3
-
23
-
-
0036650890
-
Analogue realizations of fractional-order controllers. Fractional order calculus and its applications
-
Podlubny, I. 2002. Analogue realizations of fractional-order controllers. Fractional order calculus and its applications. Nonlinear Dynam., 29: 281–296.
-
(2002)
Nonlinear Dynam.
, vol.29
, pp. 281-296
-
-
Podlubny, I.1
-
24
-
-
23844442815
-
Existence of fractional differential equations
-
Yu, C, and Gao, G. 2005. Existence of fractional differential equations. J. Math. Anal. Appl., 310: 26–29.
-
(2005)
J. Math. Anal. Appl.
, vol.310
, pp. 26-29
-
-
Yu, C.1
Gao, G.2
-
25
-
-
53949111458
-
Basic theory of fractional differential equations
-
Lakshmikantham, V, and Vatsala, AS. 2008. Basic theory of fractional differential equations. Nonlinear Anal., 69: 2677–2681.
-
(2008)
Nonlinear Anal.
, vol.69
, pp. 2677-2681
-
-
Lakshmikantham, V.1
Vatsala, A.S.2
-
26
-
-
37349014877
-
Theory of fractional differential inequalities and applications
-
Lakshmikantham, V, and Vatsala, AS. 2007. Theory of fractional differential inequalities and applications. Commun. Appl. Anal., 11: 395–402.
-
(2007)
Commun. Appl. Anal.
, vol.11
, pp. 395-402
-
-
Lakshmikantham, V.1
Vatsala, A.S.2
-
27
-
-
45049084850
-
General uniqueness and monotone iterative technique for fractional differential equations
-
Lakshmikantham, V, and Vatsala, AS. 2008. General uniqueness and monotone iterative technique for fractional differential equations. Appl. Math. Letters, 21: 828–834.
-
(2008)
Appl. Math. Letters
, vol.21
, pp. 828-834
-
-
Lakshmikantham, V.1
Vatsala, A.S.2
-
28
-
-
38149134242
-
Uniqueness results for fractional functional differential equations with infinite delay in Fréchet spaces
-
Belarbi, A, Benchohra, M, and Ouahab, A. 2006. Uniqueness results for fractional functional differential equations with infinite delay in Fréchet spaces. Appl. Anal., 85: 1459–1470.
-
(2006)
Appl. Anal.
, vol.85
, pp. 1459-1470
-
-
Belarbi, A.1
Benchohra, M.2
Ouahab, A.3
-
29
-
-
34848916710
-
Existence results for fractional order functional differential equations with infinite delay
-
Benchohra, M. 2008. Existence results for fractional order functional differential equations with infinite delay. J. Math. Anal. Appl., 338: 1340–1350.
-
(2008)
J. Math. Anal. Appl.
, vol.338
, pp. 1340-1350
-
-
Benchohra, M.1
-
30
-
-
37349041073
-
Perturbed functional differential equations with fractional order
-
Belarbi, A. 2007. Perturbed functional differential equations with fractional order. Commun. Appl. Anal., 11: 429–440.
-
(2007)
Commun. Appl. Anal.
, vol.11
, pp. 429-440
-
-
Belarbi, A.1
-
31
-
-
58249103422
-
Boundary value problems for differential equations with fractional order
-
Benchohra, M, Hamani, S, and Ntouyas, SK. 2008. Boundary value problems for differential equations with fractional order. Surv. Math. Appl., 3: 1–12.
-
(2008)
Surv. Math. Appl.
, vol.3
, pp. 1-12
-
-
Benchohra, M.1
Hamani, S.2
Ntouyas, S.K.3
-
32
-
-
77949268160
-
Existence theory for perturbed boundary value problems with integral boundary conditions
-
Belarbi, A, Benchohra, M, and Dhage, BC. 2006. Existence theory for perturbed boundary value problems with integral boundary conditions. Georgian Math. J., 13: 215–228.
-
(2006)
Georgian Math. J.
, vol.13
, pp. 215-228
-
-
Belarbi, A.1
Benchohra, M.2
Dhage, B.C.3
-
33
-
-
34547571850
-
Functional differential inclusions with integral boundary conditions
-
Benchohra, M, Hamani, S, and Henderson, J. 2007. Functional differential inclusions with integral boundary conditions. Electron. J. Qual. Theory Differ. Equ., 15: 1–13.
-
(2007)
Electron. J. Qual. Theory Differ. Equ.
, vol.15
, pp. 1-13
-
-
Benchohra, M.1
Hamani, S.2
Henderson, J.3
-
34
-
-
67651193694
-
The method of upper and lower solutions for second order differential inclusions with integral boundary conditions
-
to appear
-
Benchohra, M, Hamani, S, and Nieto, JJ. The method of upper and lower solutions for second order differential inclusions with integral boundary conditions. Rocky Mountain J. Math, (to appear)
-
Rocky Mountain J. Math
-
-
Benchohra, M.1
Hamani, S.2
Nieto, J.J.3
-
35
-
-
33745869026
-
Physical interpretation of initial conditions for fractional differential equations with Riemann-Liouville fractional derivatives
-
Heymans, N, and Podlubny, I. 2006. Physical interpretation of initial conditions for fractional differential equations with Riemann-Liouville fractional derivatives. Rheologica Acta., 45: 765–772.
-
(2006)
Rheologica Acta.
, vol.45
, pp. 765-772
-
-
Heymans, N.1
Podlubny, I.2
-
36
-
-
0242354999
-
Geometric and physical interpretation of fractional integration and fractional differentiation
-
Podlubny, I. 2002. Geometric and physical interpretation of fractional integration and fractional differentiation. Fract. Calculus Appl. Anal., 5: 367–386.
-
(2002)
Fract. Calculus Appl. Anal.
, vol.5
, pp. 367-386
-
-
Podlubny, I.1
-
37
-
-
77949273090
-
Analysis of age structured host-parasitoid model
-
Blayneh, KW. 2002. Analysis of age structured host-parasitoid model. Far East J. Dyn. Syst., 4: 125–145.
-
(2002)
Far East J. Dyn. Syst.
, vol.4
, pp. 125-145
-
-
Blayneh, K.W.1
-
38
-
-
46549103408
-
Cellular systems and aging models
-
Adomian, G, and Adomian, GE. 1985. Cellular systems and aging models. Comput. Math. Appl., 11: 283–291.
-
(1985)
Comput. Math. Appl.
, vol.11
, pp. 283-291
-
-
Adomian, G.1
Adomian, G.E.2
-
40
-
-
33645152919
-
Positive solutions for boundary-value problems of non-linear fractional differential equations
-
Zhang, S. 2006. Positive solutions for boundary-value problems of non-linear fractional differential equations. Electron. J. Differ. Equ., 36: 1–12.
-
(2006)
Electron. J. Differ. Equ.
, vol.36
, pp. 1-12
-
-
Zhang, S.1
-
42
-
-
0040676467
-
A fixed point theorem of Krasnoselskii-Schaefer type
-
Burton, TA, and Kirk, C. 1998. A fixed point theorem of Krasnoselskii-Schaefer type. Math. Nachr., 189: 23–31.
-
(1998)
Math. Nachr.
, vol.189
, pp. 23-31
-
-
Burton, T.A.1
Kirk, C.2
|