Numerical and Analytical Solutions of Space-Time Fractional Partial Differential Equations by Using a New Double Integral Transform Method

  This work discusses the beginning of fractional calculus and how the Sumudu and Elzaki transforms are applied to fractional derivatives. This approach combines a double Sumudu-Elzaki transform strategy to discover analytic solutions to space-time fractional partial differential equations in Mittag...

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Bibliographic Details
Published inIraqi journal of science pp. 1935 - 1947
Main Authors AL-Safi, Mohammed G. S., AL-Hussein, Wurood R. Abd, Fawzi, Rand Muhand
Format Journal Article
LanguageEnglish
Published 30.04.2023
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Summary:  This work discusses the beginning of fractional calculus and how the Sumudu and Elzaki transforms are applied to fractional derivatives. This approach combines a double Sumudu-Elzaki transform strategy to discover analytic solutions to space-time fractional partial differential equations in Mittag-Leffler functions subject to initial and boundary conditions. Where this method gets closer and closer to the correct answer, and the technique's efficacy is demonstrated using numerical examples performed with Matlab R2015a.
ISSN:0067-2904
2312-1637
DOI:10.24996/ijs.2023.64.4.31