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

Boucenna, Djalal, Chidouh, Amar, Torres, Delfim F. M.

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.

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