3.9 Article

An efficient technique for two-dimensional fractional order biological population model

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WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S1793962320500051

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Caputo fractional derivative; decomposition method; biological population model; natural transform

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In this paper, we find the solutions for two-dimensional biological population model having fractional order using fractional natural decomposition method (FNDM). The proposed method is a graceful blend of decomposition scheme with natural transform, and three examples are considered to validate and illustrate its efficiency. The nature of FNDM solution has been captured for distinct arbitrary order. In order to illustrate the proficiency and reliability of the considered scheme, the numerical simulation has been presented. The obtained results illuminate that the considered method is easy to apply and more effective to examine the nature of multi-dimensional differential equations of fractional order arisen in connected areas of science and technology.

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