A perception of the applications of bicomplex fractional Laplace transform
Authors
A. Thirumalai
- School of Advanced Sciences, Vellore Institute of Technology, Vandalur-Kelambakkam road, Chennai, 600127, Tamilnadu, India.
K. Muthunagai
- School of Advanced Sciences, Vellore Institute of Technology, Vandalur-Kelambakkam road, Chennai, 600127, Tamilnadu, India.
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.
Share and Cite
ISRP Style
A. Thirumalai, K. Muthunagai, A perception of the applications of bicomplex fractional Laplace transform, Journal of Mathematics and Computer Science, 39 (2025), no. 1, 105--115
AMA Style
Thirumalai A., Muthunagai K., A perception of the applications of bicomplex fractional Laplace transform. J Math Comput SCI-JM. (2025); 39(1):105--115
Chicago/Turabian Style
Thirumalai, A., Muthunagai, K.. "A perception of the applications of bicomplex fractional Laplace transform." Journal of Mathematics and Computer Science, 39, no. 1 (2025): 105--115
Keywords
- Bicomplex fractional Laplace transform
- bicomplex fractional inverse Laplace transform
- fractional differential equations
MSC
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