An approximate solution of a time fractional Burgers’ equation involving the Caputo-Katugampola fractional derivative

The reduced version of the fractional Laplace transform, called the v-Laplac transform, is used in combination with the Adomian decomposition method to generate approximate solutions of the fractional Berger's equation with the Caputo-Katugampola fractional derivative. The effect of the order o...

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Bibliographic Details
Published in:Partial differential equations in applied mathematics : a spin-off of Applied Mathematics Letters 2023-12, Vol.8, p.100560, Article 100560
Main Author: Elbadri, Mohamed
Format: Article
Language:English
Subjects:
Adomian decomposition method
Caputo-Katugampola fractional derivative
v-Laplac
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Summary:The reduced version of the fractional Laplace transform, called the v-Laplac transform, is used in combination with the Adomian decomposition method to generate approximate solutions of the fractional Berger's equation with the Caputo-Katugampola fractional derivative. The effect of the order of the Caputo-Katugampola fractional derivative in Berger's equation is analyzed. The obtained approximate solutions are displayed graphically. The graphs and numerical solutions have demonstrated a tight correspondence between the exact and v-Laplace DM solutions. It is observed that the solutions for various orders u and v display the same behavior and tend to an integer-order problem's solution, confirming the validity of the provided method.
ISSN:2666-8181
2666-8181
DOI:10.1016/j.padiff.2023.100560