Title of article
Existence and uniqueness results for a nonlinear differential equations of arbitrary order
Author/Authors
Houas, Mohamed Faculty of Sciences and Technology - Khemis-Milian University - Ain De a, Algeria , Benbachir, Maamar Faculty of Sciences and Technology - Khemis-Milian University - Ain De a, Algeria
Pages
16
From page
77
To page
92
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 xed point theorems. In order
to clarify our results, some illustrative examples are also presented.
Keywords
Caputo derivative , Boundary Value Problem , xed point theorem , local conditions
Journal title
Astroparticle Physics
Serial Year
2015
Record number
2440898
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