A novel analysis of the fractional Cauchy reaction-diffusion equations

被引：0

作者：

Sarwe, Deepak Umarao ^{[1
]}

Raj, A. Stephan Antony ^{[2
]}

Kumar, Pushpendra ^{[3
,4
]}

Salahshour, Soheil ^{[3
,5
,6
]}

机构：

[1] Univ Mumbai, Dept Math, Mumbai 400098, Maharastra, India

[2] SNS Coll Engn, Dept Math, Coimbatore, India

[3] Istanbul Okan Univ, Fac Engn & Nat Sci, Istanbul, Turkiye

[4] Near East Univ TRNC, Math Res Ctr, Dept Math, Mersin 10, Nicosia, Turkiye

[5] Bahcesehir Univ, Fac Engn & Nat Sci, Istanbul, Turkiye

[6] Lebanese Amer Univ, Dept Comp Sci & Math, Beirut, Lebanon

来源：

INDIAN JOURNAL OF PHYSICS | 2025年 / 99卷 / 05期

关键词：

Cauchy reaction-diffusion equations; Caputo fractional derivative; Fractional natural decomposition method;

D O I：

10.1007/s12648-024-03411-0

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

This article considers the Cauchy reaction-diffusion equations and derives the numerical solutions using the fractional natural decomposition method (FNDM). The projected solution approach works without conversion or perturbation. The examples confirm the method's accuracy and reliability, allowing for fractional order studies in real-world problems. Plots and tables validate the accuracy of the proposed scheme. This research reveals the influences of temporal history in the fractional Cauchy reaction-diffusion equations, which is the novelty of this work.

引用

页码：1825 / 1837

页数：13

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