Existence and Hyers-Ulam stability of solutions to the implicit second-order differential equation via fractional integral boundary conditions

Abstract

In this paper, the existence and Ulam–Hyers stability of solutions for implicit second order fractional differential equations are investigated via fractional-orders integral boundary conditions. Our results are based on Krasnoselskii’s fixed point Theorem and Banach contraction principle. We provide examples at the end to clarify our acquired outcomes..