Boundary value problems of fractional q-difference equations on the half-line

Abstract

Abstract In this paper, we consider the boundary value problem of a class of nonlinear fractional q-difference equations involving the Riemann–Liouville fractional q-derivative on the half-line. By means of Schauder fixed point theorem and Leggett–Williams fixed point theorem, some results on existence and multiplicity of solutions are obtained.

Keywords

• Fractional q-difference equations
• The half-line
• Existence and multiplicity of solutions