COMPUTATIONAL SOLUTIONS OF FRACTIONAL ELECTRIC SYMMETRIC CIRCUITS BY SUMUDU TRANSFORMATION
Esra Karataş AkgülDepartment of Mathematics, Art and Science Faculty, Siirt University, TR-56100 Siirt, TurkeyWasim JamshedDepartment of Mathematics, Capital University of Science, and Technology (CUST) Islamabad 44000, PakistanSherzod AbdullaevDepartment of Chemical Engineering, New Uzbekistan, University, Tashkent, UzbekistanFethi Bin Muhammad BelgacemDepartment of Mathematics, Faculty of Basic Education, PAAET, Al-Ardhiya, KuwaitSayed M. El DinCenter of Research, Faculty of Engineering, Future University in Egypt, New Cairo 11835, Egypt
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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 [Formula: see text]. 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.
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