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Luchko, Y. and Gorneflo, R. (1998) The Initial Value Problem for Some Fractional Differential Equations with the Caputo Derivatives. Preprint Series A08-98. Freie Universität Berlin, Berlin.

has been cited by the following article:

• TITLE: Adomian Decomposition Method for Solving Time Fractional Burgers Equation Using Maple

  AUTHORS: Fayza Alwehebi, Aatef Hobiny, Dalal Maturi

  KEYWORDS: Adomian Decomposition Method, Time Fractional Burgers Equation, Maple 18

  JOURNAL NAME: Applied Mathematics, Vol.14 No.5, May 31, 2023

  ABSTRACT: In this paper, the Adomian decomposition method was used to solve the Time Fractional Burger equation using Mabel program. This method was applied to a number of examples of the Time Fractional Burger Equation. The obtained numerical results were presented in the form of tables and graphics. The difference between the exact solutions and the numerical solutions shows us the effectiveness of the solution using the Mabel program and that this method gave accurate results and was close to the exact solution, in addition to its ability to obtain the numerical solution quickly and efficiently using the Mabel program.