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

Djelloul Ziane; Mountassir Hamdi Cherif

doi:10.54187/jnrs.974667

EN

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

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

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Details

Primary Language

English

Subjects

Applied Mathematics

Journal Section

Research Article

Authors

Djelloul Ziane
0000-0002-1941-2633
Algeria

Mountassir Hamdi Cherif ^*
0000-0003-3458-1918
Algeria

Publication Date

December 31, 2021

Submission Date

July 26, 2021

Acceptance Date

December 6, 2021

Published in Issue

Year 2021 Volume: 10 Number: 3

DOI

https://doi.org/10.54187/jnrs.974667

IZ

https://izlik.org/JA46BE53WJ

APA

Ziane, D., & Hamdi Cherif, M. (2021). Local fractional Elzaki transform and its application to local fractional differential equations. Journal of New Results in Science, 10(3), 19-33. https://doi.org/10.54187/jnrs.974667

AMA

1.Ziane D, Hamdi Cherif M. Local fractional Elzaki transform and its application to local fractional differential equations. JNRS. 2021;10(3):19-33. doi:10.54187/jnrs.974667

Chicago

Ziane, Djelloul, and Mountassir Hamdi Cherif. 2021. “Local Fractional Elzaki Transform and Its Application to Local Fractional Differential Equations”. Journal of New Results in Science 10 (3): 19-33. https://doi.org/10.54187/jnrs.974667.

EndNote

Ziane D, Hamdi Cherif M (December 1, 2021) Local fractional Elzaki transform and its application to local fractional differential equations. Journal of New Results in Science 10 3 19–33.

IEEE

[1]D. Ziane and M. Hamdi Cherif, “Local fractional Elzaki transform and its application to local fractional differential equations”, JNRS, vol. 10, no. 3, pp. 19–33, Dec. 2021, doi: 10.54187/jnrs.974667.

ISNAD

Ziane, Djelloul - Hamdi Cherif, Mountassir. “Local Fractional Elzaki Transform and Its Application to Local Fractional Differential Equations”. Journal of New Results in Science 10/3 (December 1, 2021): 19-33. https://doi.org/10.54187/jnrs.974667.

JAMA

1.Ziane D, Hamdi Cherif M. Local fractional Elzaki transform and its application to local fractional differential equations. JNRS. 2021;10:19–33.

MLA

Ziane, Djelloul, and Mountassir Hamdi Cherif. “Local Fractional Elzaki Transform and Its Application to Local Fractional Differential Equations”. Journal of New Results in Science, vol. 10, no. 3, Dec. 2021, pp. 19-33, doi:10.54187/jnrs.974667.

Vancouver

1.Djelloul Ziane, Mountassir Hamdi Cherif. Local fractional Elzaki transform and its application to local fractional differential equations. JNRS. 2021 Dec. 1;10(3):19-33. doi:10.54187/jnrs.974667