Sharma, Sunil, Gill, Vinod, Kumar, Dinesh, Sudland, Norbert. (1404). New results on fractional calculus and integral transform with extended Mittag-Leffler type function. هنرهای کاربردی, 16(11), 179-189. doi: 10.22075/ijnaa.2024.25243.2966
Sunil Kumar Sharma; Vinod Gill; Dinesh Kumar; Norbert Sudland. "New results on fractional calculus and integral transform with extended Mittag-Leffler type function". هنرهای کاربردی, 16, 11, 1404, 179-189. doi: 10.22075/ijnaa.2024.25243.2966
Sharma, Sunil, Gill, Vinod, Kumar, Dinesh, Sudland, Norbert. (1404). 'New results on fractional calculus and integral transform with extended Mittag-Leffler type function', هنرهای کاربردی, 16(11), pp. 179-189. doi: 10.22075/ijnaa.2024.25243.2966
Sharma, Sunil, Gill, Vinod, Kumar, Dinesh, Sudland, Norbert. New results on fractional calculus and integral transform with extended Mittag-Leffler type function. هنرهای کاربردی, 1404; 16(11): 179-189. doi: 10.22075/ijnaa.2024.25243.2966

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

International Journal of Nonlinear Analysis and Applications
مقاله 15، دوره 16، شماره 11، بهمن 2025، صفحه 179-189    اصل مقاله (458.34 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22075/ijnaa.2024.25243.2966
نویسندگان
Sunil Kumar Sharma1؛ Vinod Gill2؛ Dinesh Kumar* 3؛ Norbert Sudland4
1Department of Mathematics, Arya College of Engineering, RIICO Industrial Area, Kukas, Delhi Road, Jaipur–302028 (Raj.), India
2Department of Mathematics, Government College Nalwa (Hisar), Haryana-125037, India
3Department of Applied Sciences, College of Agriculture, Agriculture University Jodhpur, Jodhpur–342304 (Raj.), India
4Aage GmbH, Rontgenstraße 24, 73431 Aalen (Wurttemberg), Germany
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
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