Advanced Analytical Treatment of Fractional Logistic Equations Based on Residual Error Functions
Joint Authors
al-Smadi, Mohammed
Hashim, Ishak
Alshammari, Saleh
Al Shammari, Mohammad
Alias, Mohd Almie
Source
International Journal of Differential Equations
Issue
Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2019-09-25
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
In this article, an analytical reliable treatment based on the concept of residual error functions is employed to address the series solution of the differential logistic system in the fractional sense.
The proposed technique is a combination of the generalized Taylor series and minimizing the residual error function.
The solution methodology depends on the generation of a fractional expansion in an effective convergence formula, as well as on the optimization of truncated errors, Resqjt, through the use of repeated Caputo derivatives without any restrictive assumptions of system nature.
To achieve this, some logistic patterns are tested to demonstrate the reliability and applicability of the suggested approach.
Numerical comparison depicts that the proposed technique has high accuracy and less computational effect and is more efficient.
American Psychological Association (APA)
Alshammari, Saleh& al-Smadi, Mohammed& Al Shammari, Mohammad& Hashim, Ishak& Alias, Mohd Almie. 2019. Advanced Analytical Treatment of Fractional Logistic Equations Based on Residual Error Functions. International Journal of Differential Equations،Vol. 2019, no. 2019, pp.1-11.
https://search.emarefa.net/detail/BIM-1159215
Modern Language Association (MLA)
Alshammari, Saleh…[et al.]. Advanced Analytical Treatment of Fractional Logistic Equations Based on Residual Error Functions. International Journal of Differential Equations No. 2019 (2019), pp.1-11.
https://search.emarefa.net/detail/BIM-1159215
American Medical Association (AMA)
Alshammari, Saleh& al-Smadi, Mohammed& Al Shammari, Mohammad& Hashim, Ishak& Alias, Mohd Almie. Advanced Analytical Treatment of Fractional Logistic Equations Based on Residual Error Functions. International Journal of Differential Equations. 2019. Vol. 2019, no. 2019, pp.1-11.
https://search.emarefa.net/detail/BIM-1159215
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1159215