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Existence of a solution for a boundary value problem of a nonlinear fractional differential equation. (English) Zbl 1150.34005
Summary: This paper is concerned with a boundary value problem of a nonlinear fractional differential equation. By means of Schauder’s fixed-point theorem, an existence result for a solution is obtained.
MSC:
34B15Nonlinear boundary value problems for ODE
47N20Applications of operator theory to differential and integral equations
References:
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[2]Zhang S Q. Positive solutions for boundary-value problems of nonlinear fractional differential equations, Electronic Journal of Differential Equations, 2006, 36: 1–12.
[3]Samko S G, Kilbas A A, Marichev O I. Fractional Integrals and Derivatives(Theory and Applications), Yverdon, Switzerland: Gordon and Breach, 1993.
[4]Podlubny I. Fractional Differential Equations, Mathematics in Science and Engineering, New York/Londin/Toronto: Academic Press, 1999, vol, 198.
[5]Delbosco D, Rodino L. Existence and uniqueness for a nonlinear fractional differential equation, J Math Anal Appl, 1996, 204: 609–625. · Zbl 0881.34005 · doi:10.1006/jmaa.1996.0456
[6]Gejji V D, Jafari H. Adomian decomposition: a tool for solving a system of fractional differential equations, J Math Anal Appl, 2005, 301: 508–518. · Zbl 1061.34003 · doi:10.1016/j.jmaa.2004.07.039
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