Existence and multiplicity of positive solutions for nonhomogeneous boundary value problems with fractional q-derivatives

摘要

In this paper, we study a class of fractional q-difference equations with nonhomogeneous boundary conditions. By applying the classical tools from functional analysis, sufficient conditions for the existence of single and multiple positive solutions to the boundary value problem are obtained in term of the explicit intervals for the nonhomogeneous term. In addition, some examples to illustrate our results are given. MSC: 34A08, 34B18, 39A13.