A new Technique For Solving Fractional Nonlinear Equations By Sumudu Transform and Adomian Decomposition Method

A novel technique Sumudu transform Adomian decomposition method (STADM), is employed to handle some kinds of nonlinear time-fractional equations. We demonstrate that this method finds the solution without discretization or restrictive assumptions. This method is efficient, simple to implement, and p...

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Bibliographic Details
Published inIbn Al-Haitham Journal for Pure and Applied Sciences Vol. 35; no. 3; pp. 128 - 134
Main Authors Gatea Mousa, Maad, ALTAIE, HUDA OMRAN
Format Journal Article
LanguageEnglish
Published University of Baghdad 20.07.2022
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Summary:A novel technique Sumudu transform Adomian decomposition method (STADM), is employed to handle some kinds of nonlinear time-fractional equations. We demonstrate that this method finds the solution without discretization or restrictive assumptions. This method is efficient, simple to implement, and produces good results. The fractional derivative is described in the Caputo sense. The solutions are obtained using STADM, and the results show that the suggested technique is valid and applicable and provides a more refined convergent series solution. The MATLAB software carried out all the computations and graphics. Moreover, a graphical representation was made for the solution of some examples. For integer and fractional order problems, solution graphs are shown. The results confirmed that the accuracy of this technique converges to the integer order of the issues.
ISSN:1609-4042
2521-3407
DOI:10.30526/35.3.2862