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Generalization of Katugampola fractional kinetic equation involving incomplete H-function | ||
| Computational Methods for Differential Equations | ||
| مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 15 فروردین 1403 اصل مقاله (2.02 M) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22034/cmde.2024.57294.2395 | ||
| نویسندگان | ||
| Nishant -1؛ Sanjay Bhatter1؛ Sunil Dutt Purohit* 2 | ||
| 1Department of Mathematics, Malaviya National Institute of Technology Jaipur, India. | ||
| 2Department of HEAS (Mathematics), Rajasthan Technical University, India. Department of Computer Science and Mathematics, Lebanese American University, Beirut, Lebanon. | ||
| چکیده | ||
| In this article, Katugampola fractional kinetic equation (KE) has been expressed in terms of polynomial along with incomplete $H$-function, incomplete Meijer's $G$-function, incomplete Fox-Wright function and incomplete generalized hypergeometric function, weighing the novel significance of the fractional KE that appear in a variety of scientific and engineering scenarios. $\tau$-Laplace transform is used to solve the Kathugampola fractional KE. The obtained solutions have been presented with some real values and the simulation done via MATLAB. Furthermore, the numerical and graphical interpretations are also mentioned to illustrate the main results. Each of the obtained conclusions is of a general nature and is capable of generating the solutions to several fractional KE. | ||
| کلیدواژه‌ها | ||
| Fractional kinetic equation؛ Incomplete H-functions؛ Mellin-Barnes type contour | ||
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آمار تعداد مشاهده مقاله: 23 تعداد دریافت فایل اصل مقاله: 69 |
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