Monotonic Behavior in Subdiffusion Equation of the Parameter in Mittag-Leffler Function


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Authors

  • Swati Mishra Department of Mathematics, Madhyanchal Professional University, Bhopal, Madhya Pradesh, India
  • Ajay Kumar Singh Department of Mathematics, Madhyanchal Professional University, Bhopal, Madhya Pradesh, India

Keywords:

Fractional derivatives, The Caputo fractional derivatives, the Riemann-Liouville fractional derivatives, monotonicity, Mittag-Leffler function

Abstract

In this paper, we demonstrate the strict monotonicity concerning the parameter $ ho$ of the Mittag-Leffler functions $E_ ho(-t^ ho)$ and $t^{ ho -1}E_{ ho, ho}(-t^ ho)$. Furthermore, the results obtained are applicable to a broader class of subdiffusion equations than those previously examined.

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Published

13-06-2026

How to Cite

Swati Mishra, & Ajay Kumar Singh. (2026). Monotonic Behavior in Subdiffusion Equation of the Parameter in Mittag-Leffler Function. International Journal of Mathematics And Its Applications, 14(2), 63–72. Retrieved from https://ijmaa.in/index.php/ijmaa/article/view/1725

Issue

Vol. 14 No. 2 (2026)

Section

Research Article

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Copyright (c) 2026 International Journal of Mathematics And its Applications

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