分数阶q-差分方程多点边值问题解的存在性与唯一性

Existence and uniqueness of solutions for multi-point boundary value problems of fractional order q-differential equations

研究一类带有Caputo分数阶q-差分和q-积分微分方程的多点边值问题,利用Banach不动点定理, Leray-Schauder非线性抉择理论和Boyd不动点定理,证明该边值问题解的存在性与唯一性.

This paper studies a class of multi-point boundary value problems for fractional q-difference equations with Caputo fractional q-differential and q-integral.By using Banach fixed point theorem,Leray-Schauder nonlinear choice theory and Boyd fixed point theorem,the existence and uniqueness of solutions to the boundary value problem are proved.