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

Impact of Fractional Order on Reaction Rates: Solutions to Kinetic Equations with Incomplete $\aleph$-Function

Articles in Press

Document Type : Research Paper

Authors

Shyamsunder - ¹
Diksha Gangwar ²

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.

10.22034/cmde.2025.61995.2704

Abstract

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.

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