<abstract xmlns="http://www.w3.org/1999/xhtml"><p> 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. </p></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.

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

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

In this paper, we discus the existence of solutions for Riemann- Liouville fractional differential inclusions supplemented with Erdélyi- Kober fractional...

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

Published Online: Sep 21, 2017

Page range: 5 - 24

Received: Feb 01, 2016

Accepted: May 01, 2016

DOI: https://doi.org/10.1515/auom-2017-0017

Keywords
Riemann-Liouville fractional derivative, inclusions, Erdélyi-Kober fractional integral, endpoint theory, Krasnoselskii’s multi-valued fixed point theorem, Wegrzyk’s fixed point theorem

© 2017

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

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

Published Online: Sep 21, 2017

Page range: 5 - 24

Received: Feb 01, 2016

Accepted: May 01, 2016

DOI: https://doi.org/10.1515/auom-2017-0017

KeywordsRiemann-Liouville fractional derivative, inclusions, Erdélyi-Kober fractional integral, endpoint theory, Krasnoselskii’s multi-valued fixed point theorem, Wegrzyk’s fixed point theorem

© 2017

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Keywords
Riemann-Liouville fractional derivative, inclusions, Erdélyi-Kober fractional integral, endpoint theory, Krasnoselskii’s multi-valued fixed point theorem, Wegrzyk’s fixed point theorem