S., N.; V., P.; Abbas, M.I. Qualitative Analysis of RLC Circuit Described by Hilfer Derivative with Numerical Treatment Using the Lagrange Polynomial Method. Fractal Fract.2023, 7, 804.
S., N.; V., P.; Abbas, M.I. Qualitative Analysis of RLC Circuit Described by Hilfer Derivative with Numerical Treatment Using the Lagrange Polynomial Method. Fractal Fract. 2023, 7, 804.
S., N.; V., P.; Abbas, M.I. Qualitative Analysis of RLC Circuit Described by Hilfer Derivative with Numerical Treatment Using the Lagrange Polynomial Method. Fractal Fract.2023, 7, 804.
S., N.; V., P.; Abbas, M.I. Qualitative Analysis of RLC Circuit Described by Hilfer Derivative with Numerical Treatment Using the Lagrange Polynomial Method. Fractal Fract. 2023, 7, 804.
Abstract
In this paper, existence and stability results of non-local integro-differential equation with Hilfer derivative of order ω∈(1,2) have been investigated. In this derivative is applied in RLC circuit equation of various fractional order. To proposed problem the existence solutions are derived using Schaefer’s fixed point theorem and the Banach contraction principle is using for uniqueness results. To demonstrate the effectiveness and applicability of our theoretical conclusions and two-step Lagrange polynomial interpolation were used to solve four numerical results.
Keywords
Fixed point theorem; Fractional order integro-differential equations; RLC circuit; Hilfer derivative; Non-local boundary conditions.
Subject
Computer Science and Mathematics, Applied Mathematics
Copyright:
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