An Extension of the Double G′G, 1G-Expansion Method for Conformable Fractional Differential Equations

Joint Authors

Al-Shawba, Altaf A.
Abdullah, Farah A.
Azmi, Amirah
Akbar, M. Ali

Source

Complexity

Issue

Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-13, 13 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2020-11-06

Country of Publication

Egypt

No. of Pages

13

Main Subjects

Philosophy

Abstract EN

The phenomena, molecular path in a liquid or a gas, fluctuating price stoke, fission and fusion, quantum field theory, relativistic wave motion, etc., are modeled through the nonlinear time fractional clannish random Walker’s parabolic (CRWP) equation, nonlinear time fractional SharmaTassoOlver (STO) equation, and the nonlinear space-time fractional KleinGordon equation.

The fractional derivative is described in the sense of conformable derivative.

From there, the G′/G, 1/G-expansion method is found to be ensuing, effective, and capable to provide functional solutions to nonlinear models concerning physical and engineering problems.

In this study, an extension of the G′/G, 1/G-expansion method has been introduced.

This enhancement establishes broad-ranging and adequate fresh solutions.

In addition, some existing solutions attainable in the literature also confirm the validity of the suggested extension.

We believe that the extension might be added to the literature as a reliable and efficient technique to examine a wide variety of nonlinear fractional systems with parameters including solitary and periodic wave solutions to nonlinear FDEs.

American Psychological Association (APA)

Al-Shawba, Altaf A.& Abdullah, Farah A.& Azmi, Amirah& Akbar, M. Ali. 2020. An Extension of the Double G′G, 1G-Expansion Method for Conformable Fractional Differential Equations. Complexity،Vol. 2020, no. 2020, pp.1-13.
https://search.emarefa.net/detail/BIM-1144019

Modern Language Association (MLA)

Al-Shawba, Altaf A.…[et al.]. An Extension of the Double G′G, 1G-Expansion Method for Conformable Fractional Differential Equations. Complexity No. 2020 (2020), pp.1-13.
https://search.emarefa.net/detail/BIM-1144019

American Medical Association (AMA)

Al-Shawba, Altaf A.& Abdullah, Farah A.& Azmi, Amirah& Akbar, M. Ali. An Extension of the Double G′G, 1G-Expansion Method for Conformable Fractional Differential Equations. Complexity. 2020. Vol. 2020, no. 2020, pp.1-13.
https://search.emarefa.net/detail/BIM-1144019

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-1144019