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Volumn 12, Issue , 2012, Pages 79-87

Fractional order Riemann-Liouville integral equations with multiple time delays

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EID: 84867277128     PISSN: None     EISSN: 16072510     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (18)

References (24)
  • 1
    • 68949186567 scopus 로고    scopus 로고
    • Darboux problem for perturbed partial differential equations of fractional order with Önite delay
    • S. Abbas and M. Benchohra, Darboux problem for perturbed partial differential equations of fractional order with Önite delay, Nonlinear Anal. Hybrid Syst., 3(2009), 597-604.
    • (2009) Nonlinear Anal. Hybrid Syst , vol.3 , pp. 597-604
    • Abbas, S.1    Benchohra, M.2
  • 2
    • 77955435963 scopus 로고    scopus 로고
    • Upper and lower solutions method for impulsive partial hyperbolic differential equations with fractional order
    • S. Abbas and M. Benchohra, Upper and lower solutions method for impulsive partial hyperbolic differential equations with fractional order, Nonlinear Anal. Hybrid Syst., 4(2010), 406-413.
    • (2010) Nonlinear Anal. Hybrid Syst , vol.4 , pp. 406-413
    • Abbas, S.1    Benchohra, M.2
  • 3
    • 77249102599 scopus 로고    scopus 로고
    • Darboux problem for fractional order neutral functional partial hyperbolic differential equations
    • S. Abbas, M. Benchohra and Y. Zhou, Darboux problem for fractional order neutral functional partial hyperbolic differential equations, Int. J. Dyn. Syst. Differ. Equ., 2(2009), 301-312.
    • (2009) Int. J. Dyn. Syst. Differ. Equ , vol.2 , pp. 301-312
    • Abbas, S.1    Benchohra, M.2    Zhou, Y.3
  • 4
    • 38149134242 scopus 로고    scopus 로고
    • Uniqueness results for fractional functional differential equations with inÖnite delay in FrÈchet spaces
    • A. Belarbi, M. Benchohra and A. Ouahab, Uniqueness results for fractional functional differential equations with inÖnite delay in FrÈchet spaces, Appl. Anal., 85(2006), 1459-1470.
    • (2006) Appl. Anal , vol.85 , pp. 1459-1470
    • Belarbi, A.1    Benchohra, M.2    Ouahab, A.3
  • 5
    • 58249117112 scopus 로고    scopus 로고
    • Existence results for boundary value problems of nonlinear fractional differential equations with integral conditions
    • M. Benchohra, J. R. Graef and S. Hamani, Existence results for boundary value problems of nonlinear fractional differential equations with integral conditions, Appl. Anal., 87(2008), 851-863.
    • (2008) Appl. Anal , vol.87 , pp. 851-863
    • Benchohra, M.1    Graef, J.R.2    Hamani, S.3
  • 6
    • 58249103422 scopus 로고    scopus 로고
    • 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
    • 34848916710 scopus 로고    scopus 로고
    • Existence results for functional differential equations of fractional order
    • M. Benchohra, J. Henderson, S. K. Ntouyas and A. Ouahab, Existence results for functional differential equations of fractional order, J. Math. Anal. Appl., 338(2008), 1340-1350.
    • (2008) J. Math. Anal. Appl , vol.338 , pp. 1340-1350
    • Benchohra, M.1    Henderson, J.2    Ntouyas, S.K.3    Ouahab, A.4
  • 8
    • 0037081673 scopus 로고    scopus 로고
    • Analysis of fractional differential equations
    • K. Diethelm and N. J. Ford, 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.J.2
  • 9
    • 0028878140 scopus 로고
    • 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
  • 13
    • 79958706585 scopus 로고    scopus 로고
    • Existence of the solution of fractiona integral inclusion with time delay, Misk
    • R. W. Ibrahim and H. A. Jalab, Existence of the solution of fractiona integral inclusion with time delay, Misk. Math. Notes, 11(2010), 139-150.
    • (2010) Math. Notes , vol.11 , pp. 139-150
    • Ibrahim, R.W.1    Jalab, H.A.2
  • 14
    • 77956684069 scopus 로고    scopus 로고
    • 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
  • 15
    • 17444382726 scopus 로고    scopus 로고
    • Nonlinear differential equations with the Caputo fractional derivative in the space of continuously differentiable functions
    • A. A. Kilbas and S. A. Marzan, Nonlinear differential equations with the Caputo fractional derivative in the space of continuously differentiable functions, Differential Equations, 41(2005), 84-89.
    • (2005) Differential Equations , vol.41 , pp. 84-89
    • Kilbas, A.A.1    Marzan, S.A.2
  • 16
    • 0001983732 scopus 로고    scopus 로고
    • Some basic problems in continuum and statistical mechanics
    • (A. Carpinteri and F. Mainardi, Eds), Springer-Verlag, Wien
    • F. Mainardi, Fractional calculus: Some basic problems in continuum and statistical mechanics, in ìFractals and Fractional Calculus in Continuum Mechanicsî (A. Carpinteri and F. Mainardi, Eds), pp. 291-348, Springer-Verlag, Wien, 1997.
    • (1997) ÌFractals and Fractional Calculus In Continuum Mechanicsî , pp. 291-348
    • Mainardi, F.1    Calculus, F.2
  • 17
    • 0001044887 scopus 로고
    • Relaxation in Ölled polymers: A fractional calculus approach
    • F. Metzler, W. Schick, H. G. Kilian and T. F. Nonnenmacher, Relaxation in Ölled 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
  • 20
    • 0036650890 scopus 로고    scopus 로고
    • Analogue realizations of fractional-order controllers. fractional order calculus and its applications
    • I. Podlubny, I. Petraǒ, B. M. Vinagre, P. O'Leary and L. Dorcak, Analogue realizations of fractional-order controllers. fractional order calculus and its applications, Nonlinear Dynam., 29(2002), 281-296.
    • (2002) Nonlinear Dynam , vol.29 , pp. 281-296
    • Podlubny, I.1    Petraǒ, I.2    Vinagre, B.M.3    O'Leary, P.4    Dorcak, L.5
  • 22
    • 68949195303 scopus 로고    scopus 로고
    • Existence of solutions of partial differential inclusions of fractional order
    • A. N. Vityuk, Existence of solutions of partial differential inclusions of fractional order, Izv. Vyssh. Uchebn., Ser. Mat., 8(1997), 13-19.
    • (1997) Izv. Vyssh. Uchebn., Ser. Mat , vol.8 , pp. 13-19
    • Vityuk, A.N.1
  • 23
    • 68949171371 scopus 로고    scopus 로고
    • Existence of solutions of systems of partial differential equations of fractional order
    • A. N. Vityuk and A. V. Golushkov, Existence of solutions of systems of partial differential equations of fractional order, Nonlinear Oscil., 7(2004), 318-325.
    • (2004) Nonlinear Oscil , vol.7 , pp. 318-325
    • Vityuk, A.N.1    Golushkov, A.V.2
  • 24
    • 33645152919 scopus 로고    scopus 로고
    • Positive solutions for boundary-value problems of nonlinear fractional diffrential equations
    • S. Zhang, Positive solutions for boundary-value problems of nonlinear fractional diffrential equations, Electron. J. Differential Equations 2006, No. 36, pp, 1-12.
    • (2006) Electron. J. Differential Equations , Issue.36
    • Zhang, S.1


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