A perception of the applications of bicomplex fractional Laplace transform

In this paper, we have used the bicomplex fractional Laplace transform to solve differential equations arising in various fields, such as heat transfer, population dynamics, electric circuits, and glucose absorption. Our study provides a deeper understanding of the mathematical relationships between bicomplex fractional Laplace transforms, Bessel functions, and the beta and gamma functions. Additionally, we have validated the effectiveness and applicability of our approach by solving the differential equation governing blood alcohol concentrations, using these theoretical insights.

Authors

Publication Details

Journal
Journal of Mathematics and Computer Science
Published
2025-03-13
DOI
https://doi.org/10.22436/jmcs.039.01.07
Citations
1
Primary Topic
Fractional Differential Equations Solutions
Type
article
Field-Weighted Citation Impact
1.37
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article

A perception of the applications of bicomplex fractional Laplace transform

A. Thirumalai, K. Muthunagai
1 citations
Journal of Mathematics and Computer Science
Fractional Differential Equations Solutions
1.37
article

A perception of the applications of bicomplex fractional Laplace transform

A. Thirumalai, K. Muthunagai
article en
1 citations

Abstract

In this paper, we have used the bicomplex fractional Laplace transform to solve differential equations arising in various fields, such as heat transfer, population dynamics, electric circuits, and glucose absorption. Our study provides a deeper understanding of the mathematical relationships between bicomplex fractional Laplace transforms, Bessel functions, and the beta and gamma functions. Additionally, we have validated the effectiveness and applicability of our approach by solving the differential equation governing blood alcohol concentrations, using these theoretical insights.

Journal of Mathematics and Computer ScienceVol. 39(01)
Openalex Percentile: Top 24%
Fractional Differential Equations Solutions
1.37
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