An Analytical View of Fractional-Order Fisher’s Type Equations within Caputo Operator | Zendy

Nehad Ali Shah | Zendy

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An Analytical View of Fractional-Order Fisher’s Type Equations within Caputo Operator

Author(s) -

Nehad Ali Shah

Publication year - 2021

Publication title -

mathematical problems in engineering

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.262

H-Index - 62

eISSN - 1026-7077

pISSN - 1024-123X

DOI - 10.1155/2021/5516392

Subject(s) - mathematics , fractional calculus , nonlinear system , type (biology) , fisher equation , operator (biology) , homotopy analysis method , order (exchange) , homotopy perturbation method , linear fractional transformation , transformation (genetics) , calculus (dental) , mathematical analysis , homotopy , pure mathematics , physics , dentistry , repressor , robust control , monetary economics , ecology , chemistry , biology , biochemistry , real interest rate , quantum mechanics , transcription factor , interest rate , medicine , finance , economics , gene

The present research article is related to the analytical investigation of some nonlinear fractional-order Fisher’s equations. The homotopy perturbation technique and Shehu transformation are implemented to discuss the fractional view analysis of Fisher’s equations. For a better understanding of the proposed procedure, some examples related to Fisher’s equations are presented. The identical behavior of the derived and actual solutions is observed. The solutions at different fractional are calculated, which describe some useful dynamics of the given problems. The proposed technique can be modified to study the fractional view analysis of other problems in various areas of applied sciences.

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