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On the Fractional View Analysis of Keller–Segel Equations with Sensitivity Functions
Joint Authors
Aly, Shaban
Liu, Haobin
Khan, Hassan
Shah, Rasool
Alderremy, A. A.
Baleanu, Dumitru
Source
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-07-28
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Abstract EN
In this paper, the fractional view analysis of the Keller–Segal equations with sensitivity functions is presented.
The Caputo operator has been used to pursue the present research work.
The natural transform is combined with the homotopy perturbation method, and a new scheme for implementation is derived.
The modified established method is named as the homotopy perturbation transform technique.
The derived results are compared with the solution of the Laplace Adomian decomposition technique by using the systems of fractional Keller–Segal equations.
The solution graphs and the table have shown that the obtained results coincide with the solution of the Laplace Adomian decomposition method.
Fractional-order solutions are determined to confirm the reliability of the current method.
It is observed that the solutions at various fractional orders are convergent to an integer-order solution of the problems.
The suggested procedure is very attractive and straight forward and therefore can be modified to solve high nonlinear fractional partial differential equations and their systems.
American Psychological Association (APA)
Liu, Haobin& Khan, Hassan& Shah, Rasool& Alderremy, A. A.& Aly, Shaban& Baleanu, Dumitru. 2020. On the Fractional View Analysis of Keller–Segel Equations with Sensitivity Functions. Complexity،Vol. 2020, no. 2020, pp.1-15.
https://search.emarefa.net/detail/BIM-1140938
Modern Language Association (MLA)
Liu, Haobin…[et al.]. On the Fractional View Analysis of Keller–Segel Equations with Sensitivity Functions. Complexity No. 2020 (2020), pp.1-15.
https://search.emarefa.net/detail/BIM-1140938
American Medical Association (AMA)
Liu, Haobin& Khan, Hassan& Shah, Rasool& Alderremy, A. A.& Aly, Shaban& Baleanu, Dumitru. On the Fractional View Analysis of Keller–Segel Equations with Sensitivity Functions. Complexity. 2020. Vol. 2020, no. 2020, pp.1-15.
https://search.emarefa.net/detail/BIM-1140938
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1140938