Existence and uniqueness of nontrivial solution for nonlinear fractional multi-point boundary value problem with a parameter

Abstract

Abstract In this paper, a class of fractional boundary value problems with a parameter are discussed. We give some sufficient conditions to guarantee that above problems have a unique solution and construct the corresponding iterative sequences for approximating the unique solution.

Keywords

• Nonhomogeneous boundary condition
• Mixed monotone operator
• Iterative solution
• Partial order structure