Existence Results for a Coupled System of Nonlinear Fractional Differential Equations in Banach Spaces

Yuping Cao and Chuanzhi Bai

Journal of Applied Mathematics, 2014, vol. 2014, issue 1

Abstract: We investigate boundary value problems for a coupled system of nonlinear fractional differential equations involving Caputo derivative in Banach spaces. A generalized singular type coupled Gronwall inequality system is given to obtain an important a priori bound. Existence results are obtained by using fixed point theorems and an example is given to illustrate the results.

Date: 2014
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https://doi.org/10.1155/2014/463148

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnljam:v:2014:y:2014:i:1:n:463148

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