Existence results for fractional differential inclusions with Erdélyi-Kober fractional integral conditions

Bashir Ahmad; Sotiris K. Ntouyas

doi:10.1515/auom-2017-0017

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Existence results for fractional differential inclusions with Erdélyi-Kober fractional integral conditions

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

Volume 25 (2017): Issue 2 (July 2017)

By: Bashir Ahmad and Sotiris K. Ntouyas

Open Access

|Sep 2017

Abstract

In this paper, we discus the existence of solutions for Riemann- Liouville fractional differential inclusions supplemented with Erdélyi- Kober fractional integral conditions. We apply endpoint theory, Krasnoselskii’s multi-valued fixed point theorem and Wegrzyk's fixed point theorem for generalized contractions. For the illustration of our results, we include examples.

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Articles in this issue

DOI: https://doi.org/10.1515/auom-2017-0017 | Journal eISSN: 1844-0835 | Journal ISSN: 1224-1784

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Language: English

Page range: 5 - 24

Submitted on: Feb 1, 2016

Accepted on: May 1, 2016

Published on: Sep 21, 2017

Published by: Ovidius University of Constanta

In partnership with: Paradigm Publishing Services

Publication frequency: 3 issues per year

Keywords:

Riemann-Liouville fractional derivative,

inclusions,

Erdélyi-Kober fractional integral,

endpoint theory,

Krasnoselskii’s multi-valued fixed point theorem,

Wegrzyk’s fixed point theorem

Related subjects:

Mathematics,

General mathematics

© 2017 Bashir Ahmad, Sotiris K. Ntouyas, published by Ovidius University of Constanta
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Volume 25 (2017): Issue 2 (July 2017)