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Zbl 1245.35153
Zhou, Wen-Xue; Chu, Yan-Dong
Existence of solutions for fractional differential equations with multi-point boundary conditions.
(English)
[J] Commun. Nonlinear Sci. Numer. Simul. 17, No. 3, 1142-1148 (2012). ISSN 1007-5704

Summary: We discuss the existence of solutions for a nonlinear multi-point boundary value problem of integro-differential equations of fractional order $q\in (1, 2]$. Our analysis relies on the contraction mapping principle and the Krasnoselskii's fixed point theorem. An example is provided to illustrate the theory.
MSC 2000:
*35R35 Free boundary problems for PDE
35A01

Keywords: multi-point boundary value problem; fractional differential equations; Caputo fractional derivative; contraction mapping theorem

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