ArticleEntropy (Basel, Switzerland)2019
Analytical Solutions of Fractional-Order Diffusion Equations by 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 2 papers.
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2 citing papers in PubMed.
- 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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5 authors.
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Abstract
In the present article, fractional-order diffusion equations are solved using the Natural transform decomposition method. The series form solutions are obtained for fractional-order diffusion equations using the proposed method. Some numerical examples are presented to understand the procedure of the Natural transform decomposition method. The Natural transform decomposition method has shown the least volume of calculations and a high rate of convergence compared to other analytical techniques, the proposed method can also be easily applied to other non-linear problems. Therefore, the Natural transform decomposition method is considered to be one of the best analytical technique, to solve fractional-order linear and non-linear partial deferential equations, particularly fractional-order diffusion equation.
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