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Volumn 33, Issue 2, 2013, Pages 209-222

Fractional order Riemann-Liouville integral inclusions with two independent variables and multiple delay

Author keywords

Fixed point; Integral inclusion; Left sided mixed Riemann Liouville integral; Solution; Time delay

Indexed keywords


EID: 84874031224     PISSN: 12329274     EISSN: None     Source Type: Journal    
DOI: 10.7494/OpMath.2013.33.2.209     Document Type: Article
Times cited : (11)

References (31)
  • 1
    • 68949186567 scopus 로고    scopus 로고
    • Darboux problem for perturbed partial differential equations of fractional order with finite delay
    • S. Abbas, M. Benchohra, Darboux problem for perturbed partial differential equations of fractional order with finite 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
    • 84945330794 scopus 로고    scopus 로고
    • Impulsive partial hyperbolic differential inclusions of fractional order
    • S. Abbas, M. Benchohra, Impulsive partial hyperbolic differential inclusions of fractional order, Demonstratio Math. XLIII (2010) 4, 775-797.
    • (2010) Demonstratio Math. , vol.43 , Issue.4 , pp. 775-797
    • Abbas, S.1    Benchohra, M.2
  • 3
    • 84874090294 scopus 로고    scopus 로고
    • Upper and lower solutions method for the darboux problem for fractional order partial differential inclusions
    • S. Abbas, M. Benchohra, Upper and lower solutions method for the darboux problem for fractional order partial differential inclusions, Int. J. Mod. Math. 5(2010), 327-338.
    • (2010) Int. J. Mod. Math. , vol.5 , pp. 327-338
    • Abbas, S.1    Benchohra, M.2
  • 4
    • 84867277128 scopus 로고    scopus 로고
    • Fractional order Riemann-Liouville integral equations with multiple time delay
    • S. Abbas, M. Benchohra, Fractional order Riemann-Liouville integral equations with multiple time delay, Appl. Math. E-Notes 12(2012), 79-87.
    • (2012) Appl. Math. E-notes , vol.12 , pp. 79-87
    • Abbas, S.1    Benchohra, M.2
  • 6
    • 84867521954 scopus 로고    scopus 로고
    • Topics in fractional differential equations
    • Springer, New York
    • S. Abbas, M. Benchohra, G. M. N'Guérékata, Topics in Fractional Differential Equations, Dev. Math. 27, Springer, New York, 2012.
    • (2012) Dev. Math. , pp. 27
    • Abbas, S.1    Benchohra, M.2    N'Guérékata, G.M.3
  • 7
    • 84874080029 scopus 로고    scopus 로고
    • Fractional order partial functional differential inclusions with infinite delay
    • S. Abbas, M. Benchohra, Y. Zhou, Fractional order partial functional differential inclusions with infinite delay, Proc. A. Razmadze Math. Inst. 154(2010), 1-19.
    • (2010) Proc. A. Razmadze Math. Inst. , vol.154 , pp. 1-19
    • Abbas, S.1    Benchohra, M.2    Zhou, Y.3
  • 9
    • 58249117112 scopus 로고    scopus 로고
    • Existence results for boundary value problems of nonlinear fractional differential equations with integral conditions
    • M. Benchohra, J. R. Graef, 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
  • 10
    • 58249103422 scopus 로고    scopus 로고
    • Boundary value problems for differential equations with fractional order
    • M. Benchohra, S. Hamani, 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
  • 11
    • 34848916710 scopus 로고    scopus 로고
    • Existence results for functional differential equations of fractional order
    • M. Benchohra, J. Henderson, S. K. Ntouyas, 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
  • 12
    • 0000249005 scopus 로고
    • On a theorem of ville. Contribution to the theory of games
    • Priceton University Press, Princeton, N. G.
    • H. F. Bohnenblust, S. Karlin, On a theorem of ville. Contribution to the theory of games, 155-160, Annals of Mathematics Studies, no. 24. Priceton University Press, Princeton, N. G., 1950.
    • (1950) Annals of Mathematics Studies , Issue.24 , pp. 155-160
    • Bohnenblust, H.F.1    Karlin, S.2
  • 16
    • 51249191814 scopus 로고
    • Multivalued contraction mappings in generalized metric spaces
    • H. Covitz, S. B. Nadler Jr., Multivalued contraction mappings in generalized metric spaces, Israel J. Math. 8(1970), 5-11.
    • (1970) Israel J. Math. , vol.8 , pp. 5-11
    • Covitz, H.1    Nadler Jr., S.B.2
  • 20
    • 79958706585 scopus 로고    scopus 로고
    • Existence of the solution of fractional integral inclusion with time delay
    • R. W. Ibrahim, H. A. Jalab, Existence of the solution of fractional integral inclusion with time delay, Misk. Math. Notes 11 (2010) 2, 139-150.
    • (2010) Misk. Math. Notes , vol.11 , Issue.2 , pp. 139-150
    • Ibrahim, R.W.1    Jalab, H.A.2
  • 22
    • 17444382726 scopus 로고    scopus 로고
    • Nonlinear differential equations with the Caputo fractional derivative in the space of continuously differentiable functions
    • A. A. Kilbas, S. A. Marzan, Nonlinear differential equations with the Caputo fractional derivative in the space of continuously differentiable functions, Differ. Equ. 41(2005), 84-89.
    • (2005) Differ. Equ. , vol.41 , pp. 84-89
    • Kilbas, A.A.1    Marzan, S.A.2
  • 24
    • 0000017706 scopus 로고
    • An application of the Kakutani-Ky Fan theorem in the theory of ordinary differential equations
    • A. Lasota, Z. Opial, An application of the Kakutani-Ky Fan theorem in the theory of ordinary differential equations, Bull. Acad. Pol. Sci. Ser. Sci. Math. Astronom. Phys. 13(1965), 781-786.
    • (1965) Bull. Acad. Pol. Sci. Ser. Sci. Math. Astronom. Phys. , vol.13 , pp. 781-786
    • Lasota, A.1    Opial, Z.2
  • 26
    • 84969531870 scopus 로고    scopus 로고
    • On Volterra-Fredholm integral equation in two variables
    • B. G. Pachpatte, On Volterra-Fredholm integral equation in two variables, Demonstratio Math. XL (2007) 4, 839-852.
    • (2007) Demonstratio Math. , vol.40 , Issue.4 , pp. 839-852
    • Pachpatte, B.G.1
  • 27
    • 48849093115 scopus 로고    scopus 로고
    • On Fredholm type integrodifferential equation
    • B. G. Pachpatte, On Fredholm type integrodifferential equation, Tamkang J. Math. 39(2008), 85-94.
    • (2008) Tamkang J. Math. , vol.39 , pp. 85-94
    • Pachpatte, B.G.1
  • 28
    • 84865426439 scopus 로고    scopus 로고
    • On Fredholm type integral equation in two variables
    • B. G. Pachpatte, On Fredholm type integral equation in two variables, Differ. Equ. Appl. 1(2009), 27-39.
    • (2009) Differ. Equ. Appl. , vol.1 , pp. 27-39
    • Pachpatte, B.G.1
  • 29
    • 78649408916 scopus 로고    scopus 로고
    • Qualitative properties of solutions of certain Volterra type difference equations
    • B. G. Pachpatte, Qualitative properties of solutions of certain Volterra type difference equations, Tamsui Oxf. J. Math. Sci. 26(2010), 273-285.
    • (2010) Tamsui Oxf. J. Math. Sci. , vol.26 , pp. 273-285
    • Pachpatte, B.G.1
  • 30
    • 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
  • 31
    • 68949171371 scopus 로고    scopus 로고
    • Existence of solutions of systems of partial differential equations of fractional order
    • A. N. Vityuk, 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


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.