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Öğe 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.Öğe On solutions of the kinetic model by sumudu transform(Bentham Science Publishers, 2023) Akgül, Esra Karatas; Belgacem, Fethi Bin Muhammed; Akgül, AliThis paper investigates the kinetic model with four different fractional derivatives. We obtain the solutions of the models by Sumudu transform and demonstrate our results with some figures. We prove the accuracy of the Sumudu transform by some theoretical results and applications. ©2023 Bentham Science Publishers.