ArticleEntropy (Basel, Switzerland)2019
Analytical Solutions of Fractional-Order Heat and Wave Equations by the Natural Transform Decomposition Method.
Article in Entropy (Basel, Switzerland), 2019. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 4 papers.
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4 citing papers in PubMed.
- Article
- Assessing the impact of SARS-CoV-2 infection on the dynamics of dengue and HIV via fractional derivatives.Chaos, solitons, and fractals · 2022Article
- A fractional order model for the co-interaction of COVID-19 and Hepatitis B virus.Results in physics · 2022Article
- An Analytical Technique, Based on Natural Transform to Solve Fractional-Order Parabolic Equations.Entropy (Basel, Switzerland) · 2021Article
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4 authors.
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Abstract
In the present article, fractional-order heat and wave equations are solved by using the natural transform decomposition method. The series form solutions are obtained for fractional-order heat and wave equations, using the proposed method. Some numerical examples are presented to understand the procedure of natural transform decomposition method. The natural transform decomposition method procedure has shown that less volume of calculations and a high rate of convergence can be easily applied to other nonlinear problems. Therefore, the natural transform decomposition method is considered to be one of the best analytical techniques, in order to solve fractional-order linear and nonlinear Partial deferential equations, particularly fractional-order heat and wave equation.
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