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Impact of Fractional Order on Reaction Rates: Solutions to Kinetic Equations with Incomplete $\aleph$-Function | ||
Computational Methods for Differential Equations | ||
مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 05 اسفند 1403 اصل مقاله (1.07 M) | ||
نوع مقاله: Research Paper | ||
شناسه دیجیتال (DOI): 10.22034/cmde.2025.61995.2704 | ||
نویسندگان | ||
Shyamsunder -* 1؛ Diksha Gangwar2 | ||
1Department of Mathematics, SRM University Delhi-NCR, Sonepat-131029, Haryana, India. | ||
2Department of Applied Mathematics, M. J. P. Rohilkhand University, Bareilly-243006, Uttar Pradesh, India. | ||
چکیده | ||
In this study, we investigate the significance of fractional kinetic equations in emerging a wide range of problems in science and engineering. Specifically, we derive a fractional kinetic equation solution involving the incomplete $\aleph$ function using a well-established integral transform technique. To illustrate the impact of the fractional integral operator's order on reaction rates, we present several graphical results, highlighting the influence of fractional calculus on the system's dynamics. | ||
کلیدواژهها | ||
Laplace transform؛ Riemann-Liouville fractional integral؛ Kinetic equation؛ Incomplete $\aleph$-function | ||
آمار تعداد مشاهده مقاله: 5 تعداد دریافت فایل اصل مقاله: 1 |