Existence and stability of solutions for fuzzy fractional multi-pantograph differential equations with ψ-Caputo derivative

Abstract

In the current work, we examine a novel type of fuzzy fractional multipantograph differential equations involving ψ-Caputo derivative. Firstly, we establish the existence result by using Schaefer fixed point theorem and then the uniqueness is proved by using Banach fixed point theorem. Secondly, with aid of generalized Gr¨onwall inequality, we investigative the Ulam–Hyers–Mittag-Leffler stability of solution for the problem under consideration. Lately, two examples are provided to illustrate the theoretical results.