Existence and controllability for nonlinear fractional differential inclusions with nonlocal boundary conditions and time-varying delay-Reference-Cited by-同舟云学术

Existence and controllability for nonlinear fractional differential inclusions with nonlocal boundary conditions and time-varying delay

Published:2018-08-01 Issue:4 Volume:21 Page:960-980
ISSN:1314-2224
Container-title:Fractional Calculus and Applied Analysis
language:en
Short-container-title:

Author:

Cheng Yi¹,Agarwal Ravi P.²³,Regan Donal O’⁴

Affiliation:

1. Department of Mathematics , Bohai University , Jinzhou 121013 , Liaoning , China

2. Department of Mathematics , Texas A&M University-Kingsville Kingsville , TX 78363 , USA

3. Department of Mathematics , Faculty of Science King Abdulaziz University , P.O. Box 80203 , Jeddah , 21589 , Saudi Arabia

4. School of Mathematics , Statistics and Applied Mathematics National University of Ireland , Galway , Ireland

Abstract

Abstract This paper discusses the existence and controllability of a class of fractional order evolution inclusions with time-varying delay. In the weak topology setting we establish the existence of solutions. Then the controllability of this system with a nonlocal condition is established by applying the Glicksberg-Ky Fan fixed point theorem. As an application, nonlocal problems of a fractional reaction-diffusion equation with a discontinuous nonlinear term is examined.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Analysis

Link

https://www.degruyter.com/document/doi/10.1515/fca-2018-0053/pdf

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