Existence of mild solutions to semilinear fractional differential inclusion with deviated advanced nonlocal conditions

Authors

Faculty of Science, Zagazig University, Zagazig, Egypt

https://doi.org/10.1186/s42787-019-0048-3

Abstract

This paper is devoted to study the existence of at least one continuous mild solution to
semilinear fractional differential inclusion with deviated-advanced nonlocal conditions.
We develop the results obtained, by exchanging the deviated-advanced nonlocal
condition to an integral form. Our results will be accomplished by using the nonlinear
Leray-Schauder’s alternative fixed point theorem. The main results are well illustrated
with the aid of an example.

Keywords

Journal of the Egyptian Mathematical Society
Volume 27, Issue 1
2019
Pages 1-15

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