ON FRACTIONAL DIFFERENTIAL INCLUSION PROBLEMS INVOLVING FRACTIONAL ORDER DERIVATIVE WITH RESPECT TO ANOTHER FUNCTION-Reference-Cited by-同舟云学术

ON FRACTIONAL DIFFERENTIAL INCLUSION PROBLEMS INVOLVING FRACTIONAL ORDER DERIVATIVE WITH RESPECT TO ANOTHER FUNCTION

Published:2020-06-25 Issue:08 Volume:28 Page:2040002
ISSN:0218-348X
Container-title:Fractals
language:en
Short-container-title:Fractals

Author:

BELMOR SAMIHA¹,JARAD F.²,ABDELJAWAD T.³⁴⁵,ALQUDAH MANAR A.⁶

Affiliation:

1. University of Batna 2, Department of Mathematics, 05078 Batna, Algeria

2. Çankaya University, Department of Mathematics, 06790 Etimesgut, Ankara, Turkey

3. Department of Mathematics and General Sciences, Prince Sultan University, P. O. Box 66833, Riyadh 11586, Saudi Arabia

4. Department of Medical Research, China Medical University, Taichung 40402, Taiwan

5. Department of Computer Science and Information Engineering, Asia University, Taichung, Taiwan

6. Department of Mathematical Sciences, Princess Nourah bint, Abdulrahman University, Riyadh, Saudi Arabia

Abstract

In this research work, we investigate the existence of solutions for a class of nonlinear boundary value problems for fractional-order differential inclusion with respect to another function. Endpoint theorem for [Formula: see text]-weak contractive maps is the main tool in determining our results. An example is presented in aim to illustrate the results.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Geometry and Topology,Modelling and Simulation

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218348X20400022

Reference30 articles.

1. A Survey on Existence Results for Boundary Value Problems of Nonlinear Fractional Differential Equations and Inclusions

2. Existence results for boundary value problems with non-linear fractional differential equations

3. Nonlinear generalized fractional differential equations with generalized fractional integral conditions

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