Existence study of semilinear fractional differential inclusions for multi-term problem

Abstract

In this paper, we study the existence of solutions for semilinear fractional dierential inclusion multi-term problem in a more general form. A fixed point strategy is used to establish existence of solutions, namely LeraySchauder xed point alternative for set-valued maps. Two cases are considered convexity and non convexity of set valued function. Illustrative examples are provided at the end of our theorems to ensure the eectiveness of our theoretical results.