Impact of fractional order on reaction rates: Solutions to kinetic equations with incomplete $\aleph$-function

-, Shyamsunder; Gangwar, Diksha

doi:10.22034/cmde.2025.61995.2704

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	Impact of fractional order on reaction rates: Solutions to kinetic equations with incomplete $\aleph$-function
Computational Methods for Differential Equations
مقاله 5، دوره 14، شماره 2، تیر 2026، صفحه 581-589 اصل مقاله (407.44 K)
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

مراجع
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Impact of fractional order on reaction rates: Solutions to kinetic equations with incomplete $\aleph$-function