Existence of an approximate solution for a class of fractional multi-point boundary value problems with the derivative term

Abstract

Abstract In this paper, we consider a class of fractional boundary value problems with the derivative term and nonlinear operator term. By establishing new mixed monotone fixed point theorems, we prove these problems to have a unique solution, and we construct the corresponding iterative sequences to approximate the unique solution.

Keywords

• Fractional equation
• Mixed monotone operator
• Partial order method
• Derivative term