The Analysis of Fractional-Order Proportional Delay Physical Models via a Novel Transform

In this paper, we deal with an alternative analytical analysis of fractional-order partial differential equations with proportional delay, achieved by applying Yang decomposition method, where the fractional derivative is taken in Caputo sense. The suggested series results are discovered to quickly...

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Bibliographic Details
Published inComplexity (New York, N.Y.) Vol. 2022; no. 1
Main Authors Alesemi, Meshari, Iqbal, Naveed, Hamoud, Ahmed A.
Format Journal Article
LanguageEnglish
Published Hoboken Hindawi 2022
Hindawi Limited
Hindawi-Wiley
Subjects
Calculus
Decomposition
Delay
Exact solutions
Growth models
Investigations
Ordinary differential equations
Partial differential equations
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Summary:In this paper, we deal with an alternative analytical analysis of fractional-order partial differential equations with proportional delay, achieved by applying Yang decomposition method, where the fractional derivative is taken in Caputo sense. The suggested series results are discovered to quickly converge to an exact solution. The computation of three test problems of fractional-order with proportional delay partial differential equations was presented to confirm the validity and efficiency of suggested method. The system appears to be a very dependable, effective, and powerful method for solving a variety of physical problems that arise in engineering and science.
ISSN:1076-2787
1099-0526
DOI:10.1155/2022/2431533