Open Access
2019 Advanced Analytical Treatment of Fractional Logistic Equations Based on Residual Error Functions
Saleh Alshammari, Mohammed Al-Smadi, Mohammad Al Shammari, Ishak Hashim, Mohd Almie Alias
Int. J. Differ. Equ. 2019: 1-11 (2019). DOI: 10.1155/2019/7609879

Abstract

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.

Citation

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Saleh Alshammari. Mohammed Al-Smadi. Mohammad Al Shammari. Ishak Hashim. Mohd Almie Alias. "Advanced Analytical Treatment of Fractional Logistic Equations Based on Residual Error Functions." Int. J. Differ. Equ. 2019 1 - 11, 2019. https://doi.org/10.1155/2019/7609879

Information

Received: 3 June 2019; Revised: 28 July 2019; Accepted: 25 August 2019; Published: 2019
First available in Project Euclid: 17 October 2019

zbMATH: 07217330
MathSciNet: MR4015790
Digital Object Identifier: 10.1155/2019/7609879

Rights: Copyright © 2019 Hindawi

Vol.2019 • 2019
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