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

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.

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

© 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.