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COMPUTATIONAL SOLUTIONS OF FRACTIONAL ELECTRIC SYMMETRIC CIRCUITS BY SUMUDU TRANSFORMATION
(World Scientific Publ Co Pte Ltd, 2023) Akgul, Esra Karatas; Jamshed, Wasim; Abdullaev, Sherzod Shukhratovich; Belgacem, Fethi Bin Muhammed; El Din, Sayed M.
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 <= sigma <= 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.