An Analytical Technique Implemented in the Fractional Clannish Random Walker's Parabolic Equation with Nonlinear Physical Phenomena

被引：15

作者：

Alam, Md. Nur ^{[1
]}

Talib, Imran ^{[2
]}

Bazighifan, Omar ^{[3
]}

Chalishajar, Dimplekumar N. ^{[4
]}

Almarri, Barakah ^{[5
]}

机构：

[1] Pabna Univ Sci & Technol, Dept Math, Pabna 6600, Bangladesh

[2] Virtual Univ Pakistan, Fac Sci & Technol, Dept Math & Stat, Lahore 54000, Pakistan

[3] Hadhramout Univ, Dept Math, Fac Sci, Hadhramout 50512, Yemen

[4] Virginia Mil Inst, Dept Appl Math, 435 Mallory Hall,Letcher Av, Lexington, VA 24450 USA

[5] Princess Nourah bint Abdulrahman Univ, Dept Math Sci, Fac Sci, Riyadh 11564, Saudi Arabia

来源：

MATHEMATICS | 2021年 / 9卷 / 08期

关键词：

FCRWP; adapted (G '/G)-expansion scheme; exact solutions; fractional calculus; nonlinear dynamics; ZAKHAROV-KUZNETSOV EQUATION; DIFFERENTIAL-EQUATIONS; OPTICAL SOLITONS; WAVE SOLUTIONS;

D O I：

10.3390/math9080801

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, the adapted (G '/G)-expansion scheme is executed to obtain exact solutions to the fractional Clannish Random Walker's Parabolic (FCRWP) equation. Some innovative results of the FCRWP equation are gained via the scheme. A diverse variety of exact outcomes are obtained. The proposed procedure could also be used to acquire exact solutions for other nonlinear fractional mathematical models (NLFMMs).

引用

页数：10

共 37 条

[1] A new analyzing technique for nonlinear time fractional Cauchy reaction-diffusion model equations [J].

Ahmad, Hijaz ;

Khan, Tufail A. ;

Ahmad, Imtiaz ;

Stanimirovic, Predrag S. ;

Chu, Yu-Ming .

RESULTS IN PHYSICS, 2020, 19

[2] New Perspective on the Conventional Solutions of the Nonlinear Time-Fractional Partial Differential Equations [J].

Ahmad, Hijaz ;

Akgul, Ali ;

Khan, Tufail A. ;

Stanimirovic, Predrag S. ;

Chu, Yu-Ming .

COMPLEXITY, 2020, 2020

[3] Stable and functional solutions of the Klein-Fock-Gordon equation with nonlinear physical phenomena [J].

Alam, Md Nur ;

Bonyah, Ebenezer ;

Fayz-Al-Asad, Md ;

Osman, M. S. ;

Abualnaja, Kholod M. .

PHYSICA SCRIPTA, 2021, 96 (05)

[4] Closed-form wave structures of the space-time fractional Hirota-Satsuma coupled KdV equation with nonlinear physical phenomena [J].

Alam, Md Nur ;

Seadawy, Aly R. ;

Baleanu, Dumitru .

OPEN PHYSICS, 2020, 18 (01) :555-565

[5] The new solitary wave structures for the (2 [J].

Alam, Md Nur ;

Tunc, Cemil .

ALEXANDRIA ENGINEERING JOURNAL, 2020, 59 (04) :2221-2232

[6] New soliton solutions to the nonlinear complex fractional Schrodinger equation and the conformable time-fractional Klein-Gordon equation with quadratic and cubic nonlinearity [J].

Alam, Md Nur ;

Li, Xin .

PHYSICA SCRIPTA, 2020, 95 (04)

[7] New structures for closed-form wave solutions for the dynamical equations model related to the ion sound and Langmuir waves [J].

Alam, Nur ;

Osman, M. S. .

COMMUNICATIONS IN THEORETICAL PHYSICS, 2021, 73 (03)

[8]

Aminikhah H., 2016, Sci. Iran, V23, P1048, DOI [DOI 10.24200/sci.2016.3873, 10.24200/sci.2016.3873, DOI 10.24200/SCI.2016.3873]

[9] Optical soliton solutions of the NLSE with quadratic-cubic-Hamiltonian perturbations and modulation instability analysis [J].

Aslan, Ebru Cavlak .

OPTIK, 2019, 196

[10] NEW FRACTIONAL DERIVATIVES WITH NON-LOCAL AND NON-SINGULAR KERNEL Theory and Application to Heat Transfer Model [J].

Atangana, Abdon ;

Baleanu, Dumitru .

THERMAL SCIENCE, 2016, 20 (02) :763-769

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