A NOVEL HYBRID APPROACH FOR LOCAL FRACTIONAL LANDAU–GINZBURG–HIGGS EQUATION DESCRIBING FRACTAL HEAT FLOW IN SUPERCONDUCTORS-Reference-Cited by-同舟云学术

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

Published:2024-08-31 Issue: Volume: Page:
ISSN:0218-348X
Container-title:Fractals
language:en
Short-container-title:Fractals

Author:

SINGH JAGDEV¹²^ORCID,DUBEY VED PRAKASH³^ORCID,KUMAR DEVENDRA⁴^ORCID,DUBEY SARVESH⁵^ORCID,SAJID MOHAMMAD⁶^ORCID

Affiliation:

1. Department of Mathematics, JECRC University, Jaipur 303905, Rajasthan, India

2. Department of Computer Science and Mathematics, Lebanese American University, Beirut, Lebanon

3. Department of Bachelor of Computer Application, L.N.D. College (B.R. Ambedkar Bihar University, Muzaffarpur), Motihari 845401, Bihar, India

4. Department of Mathematics, University of Rajasthan, Jaipur 302004, Rajasthan, India

5. University Department of Physics, B. R. Ambedkar Bihar University, Muzaffarpur-842001, Bihar, India

6. Department of Mechanical Engineering, College of Engineering, Qassim University, Saudi Arabia

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.

Funder

Deanship of Graduate Studies and Scientific Research at Qassim University

Publisher

World Scientific Pub Co Pte Ltd

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218348X24400486