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.
Official URL or Download Paper: https://www.sciencedirect.com/science/article/pii/...
|
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 |