Exact special solutions of space-time fractional Cahn-Allen equation by beta and M-truncated derivatives

被引：18

作者：

Sadaf, Maasoomah ^{[1
]}

Akram, Ghazala ^{[1
]}

Inc, Mustafa ^{[2
,3
]}

Dawood, Mirfa ^{[1
]}

Rezazadeh, Hadi ^{[4
]}

Akgul, Ali ^{[5
,6
]}

机构：

[1] Univ Punjab, Dept Math, Lahore 54590, Pakistan

[2] Firat Univ, Dept Math, Elazig, Turkiye

[3] China Med Univ Taichung, Dept Med Res, Taichung, Taiwan

[4] Amol Univ Special Modern Technol, Fac Engn Technol, Amol, Iran

[5] Siirt Univ, Art & Sci Fac, Dept Math, TR-56100 Siirt, Turkiye

[6] Saveetha Sch Engn, Dept Elect & Commun Engn, SIMATS, Chennai, Tamil Nadu, India

来源：

INTERNATIONAL JOURNAL OF MODERN PHYSICS B | 2024年 / 38卷 / 08期

关键词：

Beta derivative; M-truncated derivative; traveling wave solutions; FCAE; ITEM; CALCULUS; TRANSFORM; MODEL;

D O I：

10.1142/S0217979224501182

中图分类号：

O59 [应用物理学];

学科分类号：

摘要：

In this paper, we consider the nonlinear space-time fractional form of Cahn-Allen equation (FCAE) with beta and M-truncated derivatives. Cahn-Allen equation (CAE) is commonly used in many problems of physics and engineering, such as, solidification problems, phase separation in iron alloys and others. We apply the improved tan(?(?)2)-expansion method (ITEM). We obtain four types of traveling wave solutions, including, trigonometric, hyperbolic, rational and exponential function solutions. We demonstrate some of the extracted solutions using definitions of the beta (BD) and M-truncated derivatives (MTD) to understand their dynamical behavior. We observe the fractional effects of the aforementioned derivatives on the related physical phenomena up to possible extent.

引用

页数：25

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