一类具有分数阶导数项的分数阶微分方程边值问题多重正解的存在性

Existence of Solutions for Multi-Point Boundary Value Problems for Fractional Differential Equations

研究了一类非线性分数阶微分方程两点边值.其非线性项包含Caputo导数,利用一种推广的双锥不动点定理,得到其多重正解的存在性.

In this paper, A class of boundary value problem of fractional differential equation with fractional difference conditions is investigated. It involves the Caputo fractiM derivative in nonlinear terms. By employing a generalized two-cone fixed point theorem, we study the existence of multiple positive solutions for two-point boundary value problem of a class of nonlinear fractional differential equations.