Maximal and minimal solution of nonlocal fractional differential equation

Abstract

In this paper we consider a nonlinear fractional differential equation with weighted initial and nonlocal condition and prove the existence and approximation of the solution. We also extend to prove the existence of Maximal and Minimal solutions for a nonlinear fractional differential equation with weighted initial and nonlocal conditions, and these maximal and minimal solution will serve as bounds for the nonlinear fractional differential equation with weighted initial and nonlocal conditions.