论文标题
分数衍生品Banach空间中多点分数边界值问题的存在结果
Existence Results for a Multipoint Fractional Boundary Value Problem in the Fractional Derivative Banach Space
论文作者
论文摘要
我们研究了一类非线性边界条件的非线性隐式分数差分方程,该方程在非线性间差方程方面表达。使用kolmogorov-riesz标准,使用krasnosel'skii固定点定理,解决方案的存在。存在结果是在特定的分数Banach空间中建立的,并由两个数值示例进行了说明。
We study a class of nonlinear implicit fractional differential equations subject to nonlocal boundary conditions expressed in terms of nonlinear integro-differential equations. Using the Krasnosel'skii fixed point theorem we prove, via the Kolmogorov--Riesz criteria, existence of solutions. The existence results are established in a specific fractional derivative Banach space and they are illustrated by two numerical examples.