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Research Article | Open Access

Solving the time-fractional inverse Burger equation involving fractional Heydari-Hosseininia derivative

Mohammad Partohaghighi1Ali Akgül2( )Jihad Asad3Rania Wannan4
Department of Mathematics, University of Clarkson, New York, USA
Department of Mathematics, Art and Science Faculty, 56100 Siirt, Siirt university, Turkey
Department Of Physics, Faculty of Applied Sciences, Palestine Technical University- Kadoorie, Tulkarm, Palestine
Department of Applied Mathematics, Faculty of Applied Sciences, Palestine Technical University- Kadoorie, Tulkarm, Palestine
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Abstract

In this paper, we present a powerful numerical scheme based on energy boundary functions to get the approximate solutions of the time-fractional inverse Burger equation containing HH-derivative.This problem has never been investigated earlier so, this is our motivation to work on this important problem. Some numerical examples are presented to verify the efficiency of the presented technique. Graphs of the exact and numerical solutions along with the plot of absolute error are provided for each example. Tables are given to see and compare the results point by point for each example.

CLC number: 34K37, 35R11, 90C32

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AIMS Mathematics
Pages 17403-17417

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Cite this article:
Partohaghighi M, Akgül A, Asad J, et al. Solving the time-fractional inverse Burger equation involving fractional Heydari-Hosseininia derivative. AIMS Mathematics, 2022, 7(9): 17403-17417. https://doi.org/10.3934/math.2022959

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Received: 27 March 2022
Revised: 26 May 2022
Accepted: 09 June 2022
Published: 15 September 2022
©2022 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)