<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>In this paper a new method to compute approximate analytical solutions for differential equations of fractional order is presented. The proposed computational method, called the Piecewise Polynomial Least Squares Method (PWPLSM), is a combination of the Polynomial Least Squares Method and of piecewise-defined functions. Numerical results for differential equations of different fractional orders are discussed. The approximate solutions obtained with PWPLSM are compared with other existing analytical and numerical solutions. The tables and figures included demonstrate the accuracy of the new method.</p>
</abstract>

In this paper a new method to compute approximate analytical solutions for differential equations of fractional order is presented. The proposed computational method, called the Piecewise Polynomial Least Squares Method (PWPLSM), is a combination of the Polynomial Least Squares Method and of piecewise-defined functions. Numerical results for differential equations of different fractional orders are discussed. The approximate solutions obtained with PWPLSM are compared with other existing analytical and numerical solutions. The tables and figures included demonstrate the accuracy of the new method.

Piecewise Polynomial Least Squares Method for Differential Equations of Fractional Order

Annals of West University of Timisoara - Mathematics and Computer Science

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

In this paper a new method to compute approximate analytical solutions for differential equations of fractional order is presented. The proposed computational...

Piecewise Polynomial Least Squares Method for Differential Equations of Fractional Order

Published Online: May 03, 2023

Page range: 69 - 78

DOI: https://doi.org/10.2478/awutm-2023-0006

Keywords
approximate analytical solutions, differential equations of fractional order

© 2023 Mädälina Sofia Paşca, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Piecewise Polynomial Least Squares Method for Differential Equations of Fractional Order

Published Online: May 03, 2023

Page range: 69 - 78

DOI: https://doi.org/10.2478/awutm-2023-0006

Keywordsapproximate analytical solutions, differential equations of fractional order

© 2023 Mädälina Sofia Paşca, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Keywords
approximate analytical solutions, differential equations of fractional order