论文标题

在非线性$ψ$ hilfer混合分数微分方程的耦合系统上

On Coupled System of Nonlinear $Ψ$-Hilfer Hybrid Fractional Differential Equations

论文作者

Mali, Ashwini D., Kucche, Kishor D., Sousa, J. Vanterler da C.

论文摘要

本文致力于调查针对$ψ$ - hilfer混合分数微分方程(FDES)和边界价值问题(BVP)的耦合系统的初始价值问题(IVP)的解决方案的存在。当前论文的分析取决于涉及Banach代数为特征的三个操作员的两个固定点定理。考虑到应用程序,我们提供了具体的例子,以展示我们所达到的结果的有效性。

This paper is dedicated to investigating the existence of solutions to the initial value problem (IVP) for a coupled system of $Ψ$-Hilfer hybrid fractional differential equations (FDEs) and boundary value problem (BVP) for a coupled system of $Ψ$-Hilfer hybrid FDEs. Analysis of the current paper depends on the two fixed point theorems involving three operators characterized on Banach algebra. In the view of an application, we provided concrete examples to exhibit the effectiveness of our achieved results.

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