Numerical Solutions of Fractional-Order Electrical RLC Circuit Equations via Three Numerical Techniques

Uroosa Arshad, Mariam Sultana, Ali Hasan Ali, Omar Bazighifan, Areej A. Al-moneef and Kamsing Nonlaopon ()
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Uroosa Arshad: Department of Mathematica, Federal Urdu University of Arts, Sciences & Technology, Karachi 75300, Pakistan
Mariam Sultana: Department of Mathematica, Federal Urdu University of Arts, Sciences & Technology, Karachi 75300, Pakistan
Ali Hasan Ali: Department of Mathematics, College of Education for Pure Sciences, University of Basrah, Basrah 61001, Iraq
Omar Bazighifan: Section of Mathematics, International Telematic University Uninettuno, CorsoVittorio Emanuele II, 39, 00186 Roma, Italy
Areej A. Al-moneef: Department of Mathematical Sciences, College of Science, Princess Nourah bint Abdulrahman University, P.O. Box 84428, Riyadh 11671, Saudi Arabia
Kamsing Nonlaopon: Department of Mathematics, Faculty of Science, Khon Kaen University, Khon Kaen 40002, Thailand

Mathematics, 2022, vol. 10, issue 17, 1-16

Abstract: In this article, three different techniques, the Fractional Perturbation Iteration Method (FPIA), Fractional Successive Differentiation Method (FSDM), and Fractional Novel Analytical Method (FNAM), have been introduced. These three iterative methods are applied on different types of Electrical RLC-Circuit Equations of fractional-order. The fractional series approximation of the derived solutions can be established by using the obtained coefficients. These three algorithms handle the problems in a direct manner without any need for restrictive assumptions. The comparison displays an agreement between the obtained results. The beauty of this paper lies in the error analysis between the exact solution and approximate solutions obtained by these three methods which prove that the Approximate Solution obtained by FNAM converge very rapidly to the exact solution.

Keywords: Fractional Novel Analytical Method; Fractional Perturbation Iteration Method; Fractional Successive Differentiation Method; caputo fractional operator; fractional-order electrical RLC-circuit equations (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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