Analytic Solutions of the Space-Time Fractional Combined KdV-mKdV Equation

Joint Authors

Abdel-Salam, Emad A.-B.
al-Muhiameed, Zeid I. A.

Source

Mathematical Problems in Engineering

Issue

Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-6, 6 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2015-02-22

Country of Publication

Egypt

No. of Pages

6

Main Subjects

Civil Engineering

Abstract EN

The fractional mapping method is proposed to solve fractional differential equations.

To illustrate the effectiveness of the method, we discuss the space-time fractional combined KdV-mKdV equation.

Many types of exact analytical solutions are obtained.

The solutions include generalized trigonometric and hyperbolic functions solutions.

These solutions are useful to understand the mechanisms of the complicated nonlinear physical phenomena and fractional differential equations.

Among these solutions, some are found for the first time.

American Psychological Association (APA)

Abdel-Salam, Emad A.-B.& al-Muhiameed, Zeid I. A.. 2015. Analytic Solutions of the Space-Time Fractional Combined KdV-mKdV Equation. Mathematical Problems in Engineering،Vol. 2015, no. 2015, pp.1-6.
https://search.emarefa.net/detail/BIM-1074940

Modern Language Association (MLA)

Abdel-Salam, Emad A.-B.& al-Muhiameed, Zeid I. A.. Analytic Solutions of the Space-Time Fractional Combined KdV-mKdV Equation. Mathematical Problems in Engineering No. 2015 (2015), pp.1-6.
https://search.emarefa.net/detail/BIM-1074940

American Medical Association (AMA)

Abdel-Salam, Emad A.-B.& al-Muhiameed, Zeid I. A.. Analytic Solutions of the Space-Time Fractional Combined KdV-mKdV Equation. Mathematical Problems in Engineering. 2015. Vol. 2015, no. 2015, pp.1-6.
https://search.emarefa.net/detail/BIM-1074940

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-1074940