Existence Results for Nonlinear Hilfer Pantograph Fractional Integrodifferential Equations

IF 1.9 3区数学 Q1 MATHEMATICS

Qualitative Theory of Dynamical Systems Pub Date : 2024-07-11 DOI:10.1007/s12346-024-01069-x

B. Radhakrishnan, T. Sathya, M. A. Alqudah, W. Shatanawi, T. Abdeljawad

引用次数: 0

Abstract

The main aim of this paper is to study the existence and uniqueness solutions for the nonlinear Hilfer pantograph fractional differential equations. This paper initiates with the persistence of the nonlinear Hilfer pantograph fractional differential equation. Also, it extended to the fractional integrodifferential equation. The premises are attained by using the fixed-point theorem. Ultimately, numerical examples are furnished to demonstrate our outcomes.

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非线性 Hilfer 泛函分式积分微分方程的存在性结果

本文的主要目的是研究非线性 Hilfer 受电弓分数微分方程的存在性和唯一性解。本文从非线性 Hilfer 受电弓分式微分方程的持久性入手。此外，它还扩展到了分数积分微分方程。前提是利用定点定理。最后，还提供了数值示例来证明我们的成果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Qualitative Theory of Dynamical Systems MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

2.50

自引率

14.30%

发文量

130

期刊介绍： Qualitative Theory of Dynamical Systems (QTDS) publishes high-quality peer-reviewed research articles on the theory and applications of discrete and continuous dynamical systems. The journal addresses mathematicians as well as engineers, physicists, and other scientists who use dynamical systems as valuable research tools. The journal is not interested in numerical results, except if these illustrate theoretical results previously proved.