University of Tabriz Computational Methods for Differential Equations 2345-3982 14 2 2026 04 01 Impact of fractional order on reaction rates: Solutions to kinetic equations with incomplete $\aleph$-function 581 589 19339 10.22034/cmde.2025.61995.2704 EN Shyamsunder - Department of Mathematics, SRM University Delhi-NCR, Sonepat-131029, Haryana, India. Diksha Gangwar Department of Applied Mathematics, M. J. P. Rohilkhand University, Bareilly-243006, Uttar Pradesh, India. Journal Article 2024 06 07 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. Laplace transform Riemann-Liouville fractional integral Kinetic equation Incomplete $\aleph$-function https://cmde.tabrizu.ac.ir/article_19339_76ee0d7acd6b46ae04ee7e9a0f59c482.pdf