Application of symmetry analysis and conservation laws to a fractional-order nonlinear conduction-diffusion model-Reference-Cited by-同舟云学术

Application of symmetry analysis and conservation laws to a fractional-order nonlinear conduction-diffusion model

Published:2024 Issue:7 Volume:9 Page:17154-17170
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Tomar A.¹,Kumar H.²,Ali M.³,Gandhi H.⁴,Singh D.⁵,Pathak G.⁶

Affiliation:

1. School of Computer Science Engineering and Technology, Bennett University, Greater Noida, India

2. Government College Sector-9, Gurugram, Haryana, India

3. Department of Basic Sciences, Preparatory Year, King Faisal University, Al Ahsa 31982, Saudi Arabia; mkasim@kfu.edu.sa

4. State Institute of Advanced Studies in Teacher Education, Jhajjar & Gurugram, India

5. Amity School of Applied Sciences, Amity University, Haryana, India

6. GL Bajaj Institute of Technology and Management, Greater Noida, India

Abstract

<abstract> <p>In this paper, the Lie symmetry analysis was executed for the nonlinear fractional-order conduction-diffusion Buckmaster model (BM), which involves the Riemann-Liouville (R-L) derivative of fractional-order 'β'. In the study of groundwater flow and oil reservoir engineering where fluid flow through porous materials is crucial, BM played an important role. The Lie point infinitesimal generators and Lie algebra were constructed for the equation. The Lie symmetries were acquired for the ordinary fractional-order BM. The power series solution and its convergence were also analyzed with the application of the implicit theorem. Noether's theorem was employed to ensure the consistency of a system by deriving the conservation laws of its physical model.</p> </abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

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