New results on fractional calculus and integral transform with extended Mittag-Leffler type function

نویسندگان
Gill, Vinod ID 1
Kumar, Dinesh ID 2
Sudland, Norbert ID 3
Sharma, Sunil Kumar ID 4

1 Department of Mathematics, Government College Nalwa (Hisar), Haryana-125037, India

2 Department of Applied Sciences, College of Agriculture, Agriculture University Jodhpur, Jodhpur–342304 (Raj.), India

3 Aage GmbH, Rontgenstraße 24, 73431 Aalen (Wurttemberg), Germany

4 Department of Mathematics, Arya College of Engineering, RIICO Industrial Area, Kukas, Delhi Road, Jaipur–302028 (Raj.), India

doi
10.22075/ijnaa.2024.25243.2966
چکیده

In the present article, we obtain new results, based on an extended Mittag-Leffler type function. We also investigate some integral transforms and generalized integral formulas for this function, and established results are expressed in terms of the Wright generalized hypergeometric type function. Some presumably new and known interesting special cases are also deduced.

کلیدواژه‌ها
Generalized Wright hypergeometric function, extended Mittag-Leffler function, fractional calculus operators, Integral transforms, generalized beta and gamma functions