Sequential fractional differential equations and inclusions with semi-periodic and nonlocal integro-multipoint boundary conditions

Abstract

This paper is concerned with the existence of solutions for Caputo type sequential fractional differential equations and inclusions supplemented with semi-periodic and nonlocal integro-multipoint boundary conditions involving Riemann-Liouville integral. We make use of standard fixed point theorems for single-valued and multivalued maps to obtain the desired results. Examples are constructed for the illustration of the main results. MSC 2010: 34A08, 34B15, 34A60, Keywords: Sequential fractional differential equations, Inclusions, Semi-periodic, Integro-multipoint boundary conditions, Existence, Fixed point