Numerical and approximate solutions for coupled time fractional nonlinear evolutions equations via reduced differential transform method

Saud Owyed, M.A. Abdou, Abdel-Haleem Abdel-Aty, W. Alharbi and Ramzi Nekhili

Chaos, Solitons & Fractals, 2020, vol. 131, issue C

Abstract: We construct an explicit and approximate solutions of fractional time-nonlinear fractional equations by using a new approach, namely, the reduced differential transform (RDTM) method. As a special cases, two models of fractional-time derivative of order α are used to find the solutions. The effect of the values of the parameter α on the behaviour of reduced differential transform (RDTM) method is investigated. The efficiency of the suggested algorithm is tested by using some numerical examples.

Keywords: Transform method; Fractional calculus; Adomian decomposition method; Reduced differential; Numerical solutions (search for similar items in EconPapers)
Date: 2020
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:131:y:2020:i:c:s0960077919304205

DOI: 10.1016/j.chaos.2019.109474

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