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Received April 24, 2022; Accepted August 29, 2022; Published September 23, 2022
Abstract In this paper, we study boundary value problems for differential inclusions involving Hilfer-Hadamard fractional derivative and nonlocal integro-multi-point boundary conditions. Both convex valued and non-convex valued multi-valued maps involved in the problem are considered. The existence result dealing with convex valued multi-maps is derived by applying Leray-Schauder nonlinear alternative for multi-valued maps. In the non-convex case, we apply Covitz-Nadler fixed point theorem to contractive multi-valued maps. Illustrating examples are also presented.
How to Cite this Article:
C. Nuchpong, T. Khoployklang, S.K. Ntouyas, J. Tariboon, Boundary value problems for Hilfer-Hadamard fractional differential inclusions with nonlocal integro-multi-point boundary conditions, J. Nonlinear Funct. Anal. 2022 (2022) 37.