COMPUTATIONAL SOLUTIONS OF FRACTIONAL ELECTRIC SYMMETRIC CIRCUITS BY SUMUDU TRANSFORMATION

KARATAS AKGÃœL Esra, Wasim Jamshed, Sherzod Shukhratovich Abdullaev, Fethi Bin Muhammed Belgacem and Sayed M. El Din
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KARATAS AKGÃœL Esra: Department of Mathematics, Art and Science Faculty, Siirt University, TR-56100 Siirt, Turkey
Wasim Jamshed: ��Department of Mathematics, Capital University of Science, and Technology (CUST) Islamabad 44000, Pakistan
Sherzod Shukhratovich Abdullaev: ��Department of Chemical Engineering, New Uzbekistan, University, Tashkent, Uzbekistan§Department of Science and Innovation, Tashkent State, Pedagogical University named after Nizami, Tashkent, Uzbekistan
Fethi Bin Muhammed Belgacem: �Department of Mathematics, Faculty of Basic Education, PAAET, Al-Ardhiya, Kuwait
Sayed M. El Din: ��Center of Research, Faculty of Engineering, Future University in Egypt, New Cairo 11835, Egypt

FRACTALS (fractals), 2023, vol. 31, issue 10, 1-11

Abstract: In this research, we study the Caputo fractional and constant proportional derivative numerical approximation of electrical symmetric circuits. It has been assumed that the derivative is in the order 0 ≤ σ ≤ 1. For the fractional electrical symmetric circuits, the RC, LC, and RLC solutions are obtained by using the Sumudu transformation. We also compare the numerical simulation of each equation to its classical equivalent. We use a highly efficient integral transform to examine the impact of the power-law kernel. In our upcoming works, we will apply this to electrical circuits that are more intricate.

Keywords: Sumudu Transformation; Caputo Derivative; Fractional Electrical Circuits; Numerical Solution; Integral Transform (search for similar items in EconPapers)
Date: 2023
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DOI: 10.1142/S0218348X23401965

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