Environmental Pollutant Dynamics with Mittag-Leffler Functions and Fractional Bell Polynomials
Bhaktaraj Thiyam
Department of Mathematics, Manipur International University, Imphal, India
1-25
Vol: 15, Issue: 1, 2025
Receiving Date:
2024-11-08
Acceptance Date:
2024-12-19
Publication Date:
2025-01-01
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http://doi.org/10.37648/ijrst.v15i01.001
Abstract
This paper introduces the concept of Modified Fractional Bell Polynomials (MFBP) and their application to modeling the dispersion of environmental pollutants in heterogeneous media. By employing MFBP in the solution of a fractional advection-diffusion equation, the study captures memory and nonlocal effects inherent in pollutant dynamics. Mathematical results, including theorems and corollaries with rigorous proofs, establish the framework. Numerical simulations illustrate the versatility of the approach, which has significant implications for environmental health management and policy-making.
Keywords:
Fractional Bell Polynomials; Mittag-Leffler Function; Generalization; Modified Fractional Bell Polynomial; Existence; Continuity; Convergence; Inverse Function
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