Existence, Uniqueness, and Stability of Solutions to Variable Fractional Order Boundary Value Problems

This paper investigates the sufficient conditions for existence and uniqueness of a class Riemann-Liouville fractional differential equations variable order with boundary conditions. The problem is converted into constant orders by combining concepts generalized intervals piecewise functions. We derive required ensuring in to utilize Banach fixed point theorem. stability obtained solution Ulam-Hyers-Rassias (UHR) sense also investigated, we finally provide an illustrative example.