Mathematica Eterna
Open Access

Abstract

Existence of solutions for fractional q-difference equations with nonlocal and sub-strip type fractional boundary conditions

Chengtao FAN and Qi GE

This paper is concerned with new boundary value problems of nonlinear q-fractional differential equations with nonlocal and sub-strip type fractional boundary conditions. the existence and uniqueness of solutions of the equation are proved by using a generalized coupled point theorem in the space of the continuous functions defined on [0,1], fixed point theorem due to O’Regan and Banach’s contraction principle. Finally, the correctness of the conclusion in this paper is verified by some examples