Qualitative Analysis of RLC Circuit Described by Hilfer Derivative with Numerical Treatment Using the Lagrange Polynomial Method

被引：6
|
作者：
Naveen, S. [1 ]
Parthiban, V. [1 ]
Abbas, Mohamed I. [2 ]
机构：
[1] Vellore Inst Technol, Sch Adv Sci, Chennai Campus, Chennai 600127, India
[2] Alexandria Univ, Fac Sci, Dept Math & Comp Sci, Alexandria 21511, Egypt
来源：
FRACTAL AND FRACTIONAL | 2023年 / 7卷 / 11期
关键词：
fixed point theorem; fractional order integro-differential RLC circuit; Hilfer fractional derivative; non-local boundary conditions; BOUNDARY-VALUE-PROBLEMS; DIFFERENTIAL-EQUATIONS; EXISTENCE; STABILITY; RC; UNIQUENESS; KERNEL;
D O I：
10.3390/fractalfract7110804
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This paper delves into an examination of the existence, uniqueness, and stability properties of a non-local integro-differential equation featuring the Hilfer fractional derivative with order omega is an element of(1,2) for the RLC model. Based on Schaefer's fixed point theorem and Banach's contraction principle, the existence and uniqueness results are established. Furthermore, Ulam-Hyers and Ulam-Hyers-Rassias stability results for the boundary value problem of the RLC model are discussed. To showcase the practicality and efficacy of our theoretical findings, a two-step Lagrange polynomial interpolation method is applied to solve some numerical examples.
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页数：18
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