SOLVABILITY AND ULAM STABILITY FOR A NONLINEAR DIFFERENTIAL PROBLEM INVOLVING p-LAPLACIAN OPERATOR AND PHI-CAPUTO SEQUENTIAL DERIVATIVES

Abstract

This paper deals with a general class of nonlinear fractional differential equations with p-Laplacian operator that involves some sequential Caputo derivatives. New criteria on the existence and uniqueness of solutions are established. The stability analysis in the sense of Ulam Hyers is discussed. An illustrative example is presented.