Closed-form solutions to the conformable space-time fractional simplified MCH equation and time fractional Phi-4 equation

被引：39

作者：

Abdelrahman, Mahmoud A. E. ^{[1
,2
]}

Alkhidhr, Hanan A. ^{[3
]}

机构：

[1] Taibah Univ, Coll Sci, Dept Math, Al Madinah Al Munawarah, Saudi Arabia

[2] Mansoura Univ, Fac Sci, Dept Math, Mansoura 35516, Egypt

[3] Qassim Univ, Coll Sci, Dept Math, Buraydah, Saudi Arabia

来源：

RESULTS IN PHYSICS | 2020年 / 18卷

关键词：

Unified solver; Space-time simplified MCH equation; Time-fractional Phi-4 equation; Solitons; Conformable derivative; Physical phenomena; SOLITARY WAVE SOLUTIONS; DIFFERENTIAL-EQUATIONS; OPTICAL SOLITONS;

D O I：

10.1016/j.rinp.2020.103294

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

The time-fractional problem is a class of important models to represent the real phenomena. We construct new solitary waves for the space-time fractional simplified modified Camassa-Holm (MCH) and the time fractional Phi-4 equations using the unified solver. The fractional derivatives are defined in the sense of the new con-formable fractional derivative. The acquired solutions may be useful for various vital observations in nuclear and particle physics and fluid mechanics. The proposed unified solver is a sturdy mathematical tool for solving various classes of fractional partial differential equations in applied science. Moreover, the simulation of some selected solutions has been demonstrated with the aid of matlab software.

引用

页数：6

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