Existence of solutions for mixed type fractional differential equations depending on mixed boundary conditions

Abstract

This paper investigates a class of mixed non-linear fractional boundary value problems where the derivative is taken in the conformable sense. The primary contribution of our work is the application of the fixed point theorem of Benmezai et al.  to this conformable fractional framework. By doing so, we establish novel existence and uniqueness results for solutions to this broader class of problems, thereby extending the applicability of recent theoretical tools to modern fractional derivative models