Existence of Solutions for Generalized Caputo Periodic and Non-Local Boundary Value Problems

Abstract

Functional differential equations occur in a variety of areas of biological, physical, and engineering applications, and such equations have received much attention in recent years. In this memoir, we touched on the existence of solutions and random solutions for generalized Caputo periodic and non-local boundary value Problems, with generalized Caputo fractional derivative. Our results will be obtained by means of fixed points theorems and by the technique of measures of noncompactness.