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

Document Type : Research Paper

Authors

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.

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.

Keywords

Main Subjects

References

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Computational Methods for Differential Equations
Volume 14, Issue 2
April 2026
Pages 581-589

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History

  • Receive Date: 07 June 2024
  • Revise Date: 29 January 2025
  • Accept Date: 17 February 2025

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