Conformable fractional derivative and its application to partial fractional derivatives
Abstract
Recently, the study on conformable fractional derivative has been gaining more attention from various researchers. This is due to its importance in numerous practical applications. In this paper, we introduce new definition of conformable fractional derivation to find partial fractional derivatives. The fractional derivatives are taken in the sense of Conformable fractional derivative. This approach is considered as a powerful tool for solving linear or nonlinear equations. The new formulation of fractional calculus is applied to solve many applied problems including fractional partial derivatives. The results obtained through the conformable fractional approach have been evaluated and presented to illustrate the efficiency and good accuracy. It has been observed that the proposed approach is prevailing for the solutions of partial fractional derivatives.
Copyright © 2021 Saber T.R. Syouri, Ibrahim Mohammed Sulaiman, Mustafa Mamat, Siti Sabariah Abas, Muhammad Zaini Ahmad. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Cite this article
S. T. R. Syouri, I. M. Sulaiman, M. Mamat, S. S. Abas, M. Z. Ahmad, Conformable fractional derivative and its application to partial fractional derivatives, J. Math. Comput. Sci. 11 (2021), 3027–3036. https://doi.org/10.28919/jmcs/5655
BibTeX
@article{Syouri2021,
author = {Syouri, Saber T.R. and Sulaiman, Ibrahim Mohammed and Mamat, Mustafa and Abas, Siti Sabariah and Ahmad, Muhammad Zaini},
title = {Conformable fractional derivative and its application to partial fractional derivatives},
journal = {J. Math. Comput. Sci.},
volume = {11},
year = {2021},
pages = {3027--3036},
doi = {10.28919/jmcs/5655}
}