COMPUTATIONAL SOLUTIONS OF FRACTIONAL ELECTRIC SYMMETRIC CIRCUITS BY SUMUDU TRANSFORMATION-Reference-Cited by-同舟云学术

COMPUTATIONAL SOLUTIONS OF FRACTIONAL ELECTRIC SYMMETRIC CIRCUITS BY SUMUDU TRANSFORMATION

Published:2023-01 Issue:10 Volume:31 Page:
ISSN:0218-348X
Container-title:Fractals
language:en
Short-container-title:Fractals

Author:

AKGÜL ESRA KARATAS¹^ORCID,JAMSHED WASIM²,ABDULLAEV SHERZOD SHUKHRATOVICH³⁴,BELGACEM FETHI BIN MUHAMMED⁵,EL DIN SAYED M.⁶

Affiliation:

1. Department of Mathematics, Art and Science Faculty, Siirt University, TR-56100 Siirt, Turkey

2. Department of Mathematics, Capital University of Science, and Technology (CUST) Islamabad 44000, Pakistan

3. Department of Chemical Engineering, New Uzbekistan, University, Tashkent, Uzbekistan

4. Department of Science and Innovation, Tashkent State, Pedagogical University named after Nizami, Tashkent, Uzbekistan

5. Department of Mathematics, Faculty of Basic Education, PAAET, Al-Ardhiya, Kuwait

6. Center of Research, Faculty of Engineering, Future University in Egypt, New Cairo 11835, Egypt

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 [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.

Publisher

World Scientific Pub Co Pte Ltd

Subject

Applied Mathematics,Geometry and Topology,Modeling and Simulation

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218348X23401965

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1. EDITORIAL SPECIAL ISSUE: PART IV-III-II-I SERIES;Fractals;2023-01