A NOVEL HYBRID APPROACH FOR LOCAL FRACTIONAL LANDAU–GINZBURG–HIGGS EQUATION DESCRIBING FRACTAL HEAT FLOW IN SUPERCONDUCTORS

Jagdev Singh, Ved Prakash Dubey (), Devendra Kumar (), Sarvesh Dubey () and Mohammad Sajid
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Jagdev Singh: Department of Mathematics, JECRC University, Jaipur 303905, Rajasthan, India†Department of Computer Science and Mathematics, Lebanese American University, Beirut, Lebanon
Ved Prakash Dubey: ��Department of Bachelor of Computer Application, L.N.D. College (B.R. Ambedkar Bihar University, Muzaffarpur), Motihari 845401, Bihar, India
Devendra Kumar: �Department of Mathematics, University of Rajasthan, Jaipur 302004, Rajasthan, India
Sarvesh Dubey: �University Department of Physics, B. R. Ambedkar Bihar University, Muzaffarpur-842001, Bihar, India
Mohammad Sajid: ��Department of Mechanical Engineering, College of Engineering, Qassim University, Saudi Arabia

FRACTALS (fractals), 2024, vol. 32, issue 07n08, 1-15

Abstract: In this paper, we investigate the fractal nature of the local fractional Landau–Ginzburg–Higgs Equation (LFLGHE) describing nonlinear waves with weak scattering in a fractal medium. The main goal of the paper is to introduce and apply the Local Fractional Elzaki Variational Iteration Method (LFEVIM) for solution of LFLGHE. Convergence analysis of LFEVIM solution for general nonlinear local fractional partial differential equation is also provided. Two examples of the local fractional LFLGHE are considered to demonstrate the applicability of the proposed technique with numerical simulations on Cantor set.

Keywords: Local Fractional Derivative; Local Fractional Elzaki Transform; Local Fractional Landau–Ginzburg–Higgs Equation; Simulation; Approximation; Cantor Set (search for similar items in EconPapers)
Date: 2024
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DOI: 10.1142/S0218348X24400486

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