Fractional analysis of non-linear fuzzy partial differential equations by using a direct procedure

Autor:	Muhammad Arshad, Shahbaz Khan, Hassan Khan, Hamid Ali, Ijaz Ali
Jazyk:	angličtina
Rok vydání:	2024
Předmět:	Laplace transform Power series Fractional power series Residual function Fuzzy fractional partial differential equations Medicine Science
Zdroj:	Scientific Reports, Vol 14, Iss 1, Pp 1-16 (2024)
Druh dokumentu:	article
ISSN:	2045-2322
DOI:	10.1038/s41598-024-60123-5
Popis:	Abstract In this study, an accurate analytical solution is presented for fuzzy FPDEs. It is done by using a novel method called the Laplace-residual power series (LRPSM) to build a series solution to the given problems. The fundamental instruments of the employed method are the Laplace transform, fractional Laurent, and fractional power series. Using the idea of a limit at infinity, we provide a series solution to a fuzzy FPDE with quick convergence and simple coefficient finding. We analyze three cases to obtain approximate and exact solutions to show the effectiveness and reliability of the Laplace- residual power series approach. To demonstrate the accuracy of the suggested procedure, we compare the findings to the real data.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/b3f72f7a33b345f1a0a5933c72bda3d0 Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF Plný text ve formátu HTML
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