Boundary value problems for fractional differential inclusions with nonlocal multipoint boundary conditions

Nassim Guerraiche; Samira Hamani; Johnny Henderson

doi:10.1216/rmj.2020.50.2059

Abstract

We establish sufficient conditions for the existence of solutions of boundary value problems for a fractional differential inclusion with nonlocal multipoint boundary conditions involving the Caputo type derivative with order $α \in (1, 2]$ . Both convex- and nonconvex-valued right-hand sides are considered.

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Nassim Guerraiche. Samira Hamani. Johnny Henderson. "Boundary value problems for fractional differential inclusions with nonlocal multipoint boundary conditions." Rocky Mountain J. Math. 50 (6) 2059 - 2072, December 2020. https://doi.org/10.1216/rmj.2020.50.2059

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Received: 3 March 2020; Revised: 23 March 2020; Accepted: 9 May 2020; Published: December 2020

First available in Project Euclid: 5 January 2021

Digital Object Identifier: 10.1216/rmj.2020.50.2059

Subjects:

Primary: 26A33

Keywords: Caputo derivative , convex , existence , fractional differential inclusion , multipoint boundary , nonconvex

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