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001-es BibID:	BIBFORM123308
Első szerző:	Ghanim, Firas
Cím:	A new hybrid special function class and numerical technique for multi-order fractional differential equations / F. Ghanim, Fareeha Sami Khan, Hiba F. Al-Janaby, Ali Hasan Ali
Dátum:	2024
ISSN:	1110-0168 2090-2670
Megjegyzések:	This study aims to investigate the properties of fractional calculus theory (FCT) in the complex domain. We focus on the relationship between the theories of special functions (SFT) and FCT, which have seen recent advancements and have led to various successful applications in fields such as engineering, mathematics, physics, biology, and other allied disciplines. Our main contribution is the development of a special function, specifically the confluent hypergeometric function (CHF) on the complex domain. By deriving various implementations of fractional order derivatives and integral operators using this function, we present a new class of special functions combining certain cases of Mittag-Leffler and confluent hypergeometric functions. Moreover, a new numerical technique for solving linear and nonlinear multi-order fractional differential equations has been developed using the proposed class of functions and the point collocation method. Graphical results are shown to demonstrate the efficacy of this proposed technique and its applicability.
Tárgyszavak:	Természettudományok Matematika- és számítástudományok idegen nyelvű folyóiratközlemény külföldi lapban folyóiratcikk fractional calculus mittag-Leffler function confluent hypergeometric function fractional integral operator laplace transform
Megjelenés:	Alexandria Engineering Journal. - 104 (2024), p. 603-613. -
További szerzők:	Khan, Fareeha Sami Al-Janaby, Hiba F. Ali, Ali Hasan (1989-) (matematikus)
Internet cím:	Szerző által megadott URL DOI Intézményi repozitóriumban (DEA) tárolt változat
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