Generalized Extended Riemann-Liouville type fractional derivative operator

Autor:	Abbas, Hafida, Azzouz, Abdelhalim, Zahaf, Mohammed Brahim, Belmekki, Mohamed
Přispěvatelé:	Zahaf, Mohammed Brahim
Jazyk:	angličtina
Rok vydání:	2019
Předmět:	Mathematics::Classical Analysis and ODEs Computer Science::Symbolic Computation [MATH] Mathematics [math] [MATH.MATH-CA] Mathematics [math]/Classical Analysis and ODEs [math.CA]
Popis:	In this paper, we aim to present new extensions of incomplete gamma, beta, Gauss hypergeometric, confluent hypergeometric function and Appell-Lauricella hypergeometric functions, by using the extended Bessel function due to Boudjelkha [4]. Some recurrence relations, transformation formulas, Mellin transform and integral representations are obtained for these generalizations. Further, an extension of the Riemann-Liouville fractional derivative operator is established.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::51817d0aa2e29d5de2c8ee1a80bbe599 https://hal.archives-ouvertes.fr/hal-02405902 Zobrazit plný text záznamu