Existence and Uniqueness Results for Caputo Fractional Differential Equations with Integral Boundary Value Conditions
Year: 2018
Author: Yimin Xue, Zhenxiang Dai, Jie Liu, Ying Su
Journal of Partial Differential Equations, Vol. 31 (2018), Iss. 1 : pp. 56–70
Abstract
In the paper, we consider the existence and uniqueness results for Caputo fractional differential equations with integral boundary value condition. The sufficient conditions of existence and uniqueness are obtained by applying the contraction mapping principle, Krasnoselskii’s fixed point theorem and Leray-Schauder degree theory, which partly improves and extends the associated results of fractional differential equations. Four examples illustrating our main results are included.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jpde.v31.n1.5
Journal of Partial Differential Equations, Vol. 31 (2018), Iss. 1 : pp. 56–70
Published online: 2018-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 15
Keywords: existence and uniqueness