耦合隐式分数阶受电弓微分方程系统的Hadamard分数阶导数

IF 1.8 3区数学 Q1 MATHEMATICS, APPLIED

Nonlinear Analysis-Real World Applications Pub Date : 2025-05-13 DOI:10.1016/j.nonrwa.2025.104402

P. Palani , D. Prabu , Seenith Sivasundaram

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引用次数: 0

摘要

研究了一类连通隐式分数阶受电弓微分方程的Hadamard分数阶导数。这是一种观察这些系统如何随时间变化的新的复杂方法。本研究利用Banach和Schaefer的不动点定理构建了独特的存在性和稳定性结论，为FPDEs分数阶微积分的理论框架提供了新的见解。举例说明了应用和验证理论结果，强调了研究对fpde分析方法的贡献。

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Hadamard fractional derivatives for a system of coupled implicit fractional pantograph differential equations

The purpose of this paper is to investigate the Hadamard fractional derivatives in a set of connected implicit fractional pantograph differential equations (FPDEs). This is a new and complex approach to looking at how these systems change over time. The study uses Banach and Schaefer’s fixed-point theorems to construct unique existence and stability conclusions that give fresh insights into the theoretical framework of fractional calculus in FPDEs. Illustrative examples are provided to demonstrate the applications and validate the theoretical results, underscoring the study’s contribution to advancing analytical methods for FPDEs.

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来源期刊

Nonlinear Analysis-Real World Applications 数学-应用数学

CiteScore

3.80

自引率

5.00%

发文量

176

审稿时长

59 days

期刊介绍： Nonlinear Analysis: Real World Applications welcomes all research articles of the highest quality with special emphasis on applying techniques of nonlinear analysis to model and to treat nonlinear phenomena with which nature confronts us. Coverage of applications includes any branch of science and technology such as solid and fluid mechanics, material science, mathematical biology and chemistry, control theory, and inverse problems. The aim of Nonlinear Analysis: Real World Applications is to publish articles which are predominantly devoted to employing methods and techniques from analysis, including partial differential equations, functional analysis, dynamical systems and evolution equations, calculus of variations, and bifurcations theory.