Local fractional Elzaki transform and its application to local fractional differential equations

Home Page
About
Submit A Journal
Submit A Conference
Submit Paper/Book
- Submit a Preprint
- Submit a Book
Contact

Journal of New Results in Science
Volume:10 Issue:3
Local fractional Elzaki transform and its application to local fractional differential equations

Local fractional Elzaki transform and its application to local fractional differential equations

Authors : Djelloul ZİANE, Mountassir HAMDİ CHERİF

Pages : 19-33

Doi:10.54187/jnrs.974667

View : 48 | Download : 13

Publication Date : 2021-12-31

Article Type : Research Paper

Abstract :The objective of our work is to couple the Elzaki transform method and the local fractional derivative which is called local fractional Elzaki transform, where we have provided important results of this transformation as local fractional Laplace-Elzaki duality, Elzaki transform of the local fractional derivative and the local fractional integral and the local fractional convolution, also we have presented the properties of some special functions with the local fractional derivative sense. The Elzaki transform was applied to solve some linear local fractional differential equations in order to obtain non-differentiable analytical solutions. The results of the solved examples show the effectiveness of the proposed method.
Keywords : Local fractional calculus, General integral transforms, Local fractional differential equations

ORIGINAL ARTICLE URL

* There may have been changes in the journal, article,conference, book, preprint etc. informations. Therefore, it would be appropriate to follow the information on the official page of the source. The information here is shared for informational purposes. IAD is not responsible for incorrect or missing information.