New class of boundary value problem for nonlinear fractional di erential equations involving Erdélyi-Kober derivative
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Date
2019
Authors
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Journal ISSN
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Publisher
Université de M'sila
Abstract
In this paper, we introduce a new class of boundary value
problem for nonlinear fractional di erential equations involving the Erdélyi-
-Kober di erential operator on an in nite interval. Existence and uniqueness
results for a positive solution of the given problem are obtained by
using the Banach contraction principle, the Leray-Schauder nonlinear alternative,
and Guo-Krasnosel'skii xed point theorem in a special Banach
space. To that end, some examples are presented to illustrate the usefulness
of our main results.