Applications of Fractional-Laplace Transformation in the Field of Electrical Engineering

Authors

  • Ali Moazzam Department of mathematics and statistics, university of agriculture Faisalabad Pakistan
  • Zainab Ijaz Department of mathematics and Statistics University of Agriculture Faisalabad. Faisalabad, Pakistan https://orcid.org/0009-0006-3393-3132
  • Muhammad Hussain Department of Physics University of Agriculture Faisalabad. Faisalabad, Pakistan https://orcid.org/0009-0001-9526-3270
  • Nimra Maqbool Department of Physics University of Agriculture Faisalabad. Faisalabad, Pakistan https://orcid.org/0009-0007-5131-0024
  • Emad A. Kuffi Department of mathematics School of Engineering, University of Al-Qadisiyah. Iraq.

DOI:

https://doi.org/10.31642/JoKMC/2018/100211

Keywords:

Fractional-Laplace transformation;, Circuit equations, Heat conduction differential model, linear differential equations, time derivative rule

Abstract

This study examines the various ways that fractional Laplace transform can be used to solve three different kinds of mathematical equations: the equation of analysis of electric circuits, simultaneous differential equations, and the heat conduction equation. This article how to use the fractional Laplace transform to calculate heat flow in semi-infinite solids in the context of heat conduction. The answers that are developed offer important information about how temperatures vary across time and space. The essay also examines how to analyse electrical circuits using the Fractional Laplace transform. This method allows researchers to measure significant electrical parameters including charge and current, which improves their comprehension of circuit dynamics. Practical examples are included throughout the essay to show how useful the Fractional Laplace transform is in various fields. As a result of the answers found using this methodology, researchers and engineers working in the fields of heat conduction, system dynamics, and circuit analysis can gain important new knowledge. In conclusion, this study explains the applicability and effectiveness of the fractional Laplace transform in resolving a variety of mathematical equations. It is a vital tool for researchers because it may be used in a wide range of scientific and engineering areas.

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Published

2023-08-31

How to Cite

Moazzam, A., Ijaz, Z., Hussain, M., Maqbool, N., & A. Kuffi, E. (2023). Applications of Fractional-Laplace Transformation in the Field of Electrical Engineering . Journal of Kufa for Mathematics and Computer, 10(2), 70–75. https://doi.org/10.31642/JoKMC/2018/100211

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