UPM Institutional Repository

Solving fractal-fractional differential equations using operational matrix of derivatives via Hilfer fractal-fractional derivative sense


Citation

Shloof, A. M. and Senu, N. and Ahmadian, A. and Nik Long, N. M. A. and Salahshour, S. (2022) Solving fractal-fractional differential equations using operational matrix of derivatives via Hilfer fractal-fractional derivative sense. Applied Numerical Mathematics, 178. pp. 386-403. ISSN 0168-9274

Abstract

This study will introduce a new differentiation operator, the Hilfer fractional-fractal derivative (H-FFD). The new proposed derivative aims to attract more non-local problems that show with the same time fractal behaviors. For numerical settlement of initial value problems, we use the shifted Legendre operational matrix. The main advantage of this method is that it reduces both linear and non-linear problems alike in solving the problem into a system of linear and non-linear algebraic equations. In addition, the numerical approximation of this new operator also offers some applications to systems of linear and non-linear problems.


Download File

Full text not available from this repository.

Additional Metadata

Item Type: Article
Divisions: Faculty of Science
Institute for Mathematical Research
DOI Number: https://doi.org/10.1016/j.apnum.2022.02.006
Publisher: Elesvier
Keywords: Fractal operators; Hilfer fractional derivative; Fractal-fractional order differential problems; Shifted Legendre polynomials; Operational matrix
Depositing User: Ms. Nuraida Ibrahim
Date Deposited: 21 Nov 2023 07:32
Last Modified: 21 Nov 2023 07:32
Altmetrics: http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1016/j.apnum.2022.02.006
URI: http://psasir.upm.edu.my/id/eprint/103254
Statistic Details: View Download Statistic

Actions (login required)

View Item View Item