On solution of non-linear FDE under tempered Ψ - Caputo derivative for the first-order and three-point boundary conditions

Abstract

In this article, the existence and uniqueness of solutions for non-linear fractional differential equation with Tempered Ψ - Caputo derivative with three-point boundary conditions were studied. The existence and uniqueness of the solution were proved by applying the Banach contraction mapping principle and Schaefer’s fixed point theorem.