Pathway to Fractional Integrals, Fractional Differential Equations, and Role of the H-Function

Autor:	Arak M. Mathai, Hans J. Haubold
Jazyk:	angličtina
Rok vydání:	2024
Předmět:	pathway model fractional integral fractional differential equations reaction-rate probability integral Krätzel integral pathway transform Mathematics QA1-939
Zdroj:	Axioms, Vol 13, Iss 8, p 546 (2024)
Druh dokumentu:	article
ISSN:	2075-1680
DOI:	10.3390/axioms13080546
Popis:	In this paper, the pathway model for the real scalar variable case is re-explored and its connections to fractional integrals, solutions of fractional differential equations, Tsallis statistics and superstatistics in statistical mechanics, the reaction-rate probability integral, Krätzel transform, pathway transform, etc., are explored. It is shown that the common thread in these connections is their H-function representations. The pathway parameter is shown to be connected to the fractional order in fractional integrals and fractional differential equations.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/1ebe956cc47e4eef9ecbdf6326900af6 Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF Plný text ve formátu HTML
Nepřihlášeným uživatelům se plný text nezobrazuje	K zobrazení výsledku je třeba se přihlásit.