Qualitative properties of solutions of nonlinear boundary value problem involving ψ-Caputo fractional derivative

Abstract

This paper studies qualitative properties such as existence-uniqueness of solutions for nonlinear boundary value problems involving ψ-Caputo fractional derivative. Comparison result is proved for differential equations involving ψ-Caputo fractional derivative. Monotone iterative technique coupled with method of lower-upper solutions is used to establish the existence and uniqueness of solutions for nonlinear boundary value problems involving ψ-Caputo fractional derivative.