A Mathematical Theoretical Study of Atangana-Baleanu Fractional Burgers’ Equations
Loading...
Date
2024
Journal Title
Journal ISSN
Volume Title
Publisher
Elsevier B.V.
Open Access Color
GOLD
Green Open Access
No
OpenAIRE Downloads
OpenAIRE Views
Publicly Funded
No
BIP! Indicators
Impulse
Average
Influence
Average
Popularity
Average
Abstract
In this paper, the Burgers’ equations using the fractional derivative of Atangana-Baleanu sense are investigated and discussed. A Laplace variational iteration approach is used to demonstrate the fractional model's mathematical solution. The solution's existence and uniqueness are examined using fixed point theory. Several numerical simulations that enhance the efficacy of the employed derivative are presented and discussed. © 2024
Description
Keywords
Fixed Point Theory, Laplace Variation Iteration Method, The Atangana-Baleanu Fractional Derivative, T57-57.97, Applied mathematics. Quantitative methods, Laplace variation iteration method, Fixed point theory, The Atangana-Baleanu Fractional derivative
Fields of Science
0103 physical sciences, 0202 electrical engineering, electronic engineering, information engineering, 02 engineering and technology, 01 natural sciences
Citation
WoS Q
N/A
Scopus Q
Q1
OpenCitations Citation Count
N/A
Source
Partial Differential Equations in Applied Mathematics
Volume
11
Issue
Start Page
End Page
Collections
PlumX Metrics
Citations
Scopus : 9
Captures
Mendeley Readers : 1
Google Scholar™
