Existence, uniqueness and Ulam stability results for a mixed-type fractional differential equations with p-Laplacian operator

Abstract

Abstract In this paper, we study a nonlinear fractional p-Laplacian boundary value problem containing both left Riemann–Liouville and right Caputo fractional derivatives with initial and integral conditions. Some new results on the existence and uniqueness of a solution for the model are obtained as well as the Ulam stability of the solutions. Two examples are provided to show the applicability of our results.

Keywords

• 34A08
• 34A12
• 34K20
• 47H10