Influence of nonlocal discrete and integral boundary conditions involving Caputo derivative in boundary value problem

Abstract

Our primary motive is to provide the readers the idea of existence and uniqueness solutions over a non linear differential equation of fractional order with non localdiscrete and integral boundary condition. Schaefer fixed point theorem, Leray-Schauder theorem and Arzela-Ascoli theorem are proven to be good for the stated problem. To brace the results appropriate examples are bestowed.