Open AccessFractional calculus pertaining to multivariable Aleph-function
Author(s) -
Dinesh Kumar,
Frédéric Ayant
Publication year - 2022
Publication title -
boletim da sociedade paranaense de matemática
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.347
H-Index - 15
eISSN - 2175-1188
pISSN - 0037-8712
DOI - 10.5269/bspm.42941
Subject(s) - aleph , multivariable calculus , function (biology) , mathematics , operator (biology) , class (philosophy) , fractional calculus , variable (mathematics) , calculus (dental) , algebra over a field , pure mathematics , mathematical analysis , computer science , artificial intelligence , physics , dentistry , repressor , chemistry , particle physics , engineering , biology , biochemistry , evolutionary biology , transcription factor , medicine , control engineering , gene
In this paper we study a pair of unied and extended fractional integral operator involving the multivariable Aleph-function, Aleph-function and general class of polynomials. During this study, we establish ve theorems pertaining to Mellin transforms of these operators. Furthers, some properties of these operators have also been investigated. On account of the general nature of the functions involved herein, a large number of (known and new) fractional integral operators involved simpler functions can also be obtained . We will quote the particular case concerning the multivariable I-function dened by Sharma and Ahmad [20] and the I-function of one variable dened by Saxena [13].