Existence and uniqueness results for a nonlinear differential equations of arbitrary order

Authors

Maamar Benbachir Faculty of Sciences and Technology, Khemis-Milian University, Ain Defla, Algeria

Mohamed Houas Faculty of Sciences and Technology, Khemis-Milian University, Ain Defla, Algeria

Abstract:

This paper studies a fractional boundary value problem of nonlinear differential equations of arbitrary orders. New existence and uniqueness results are established using Banach contraction principle. Other existence results are obtained using Schaefer and Krasnoselskii fixed point theorems. In order to clarify our results, some illustrative examples are also presented.

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Journal title

International Journal of Nonlinear Analysis and Applications

volume 6 issue 2

pages 77- 92

publication date 2015-11-01

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Keywords

Caputo derivative boundary value problem fixed point theorem local conditions

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