Abstract

Abstract This paper studies the existence of solutions for a fractional differential inclusion of order q ∈ ( 2 , 3 ] with nonlinear integral boundary conditions by applying Bohnenblust-Karlin’s fixed point theorem. Some examples are presented for the illustration of the main result. MSC: 34A40, 34A12, 26A33.

Highlights

  • 1 Introduction In this paper, we apply the Bohnenblust-Karlin fixed point theorem to prove the existence of solutions for a fractional differential inclusion with integral boundary conditions given by

  • Box 80203, Jeddah, 21589, Saudi Arabia. 2Department of Mathematics, University of Ioannina, Ioannina, 451 10, Greece

Read more

Summary

Introduction

We apply the Bohnenblust-Karlin fixed point theorem to prove the existence of solutions for a fractional differential inclusion with integral boundary conditions given by. Where cDq denotes the Caputo fractional derivative of order q, F : [ , T] × R → R \ {∅}, g, h : [ , T] × R → R are given continuous functions and λ, μ , μ , ∈ R with λ = –. Differential inclusions of integer order (classical case) play an important role in the mathematical modeling of various situations in economics, optimal control, etc. Motivated by an extensive study of classical differential inclusions, a significant work has been established for fractional differential inclusions.

Preliminaries
Discussion
Full Text
Paper version not known

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call

Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.