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

نویسندگان

1 Department of Mathematics, SRM University Delhi-NCR, Sonepat-131029, Haryana, India.

2 Department of Applied Mathematics, M. J. P. Rohilkhand University, Bareilly-243006, Uttar Pradesh, India.

doi
10.22034/cmde.2025.61995.2704
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.