MODIFIED KAWAHARA EQUATION WITHIN A FRACTIONAL DERIVATIVE WITH NON-SINGULAR KERNEL

被引：29
|
作者：
Kumar, Devendra [1 ]
Singh, Jagdev [1 ]
Baleanu, Dumitru [2 ,3 ]
机构：
[1] JECRC Univ, Dept Math, Jaipur, Rajasthan, India
[2] Cankaya Univ, Fac Arts & Sci, Dept Math, Etimesgut, Turkey
[3] Inst Space Sci, Magurele, Romania
来源：
THERMAL SCIENCE | 2018年 / 22卷 / 02期
关键词：
fractional model of modified Kawahara equation; water-waves; Caputo-Fabrizio fractional derivative; iterative method; WAVES; OPERATORS;
D O I：
10.2298/TSCI160826008K
中图分类号：
O414.1 [热力学];
学科分类号：
摘要：
The article addresses a time fractional modified Kawahara equation through a fractional derivative with exponential kernel. The Kawahara equation describes the generation of non-linear water-waves in the long-wavelength regime. The numerical solution of the fractional model of modified version of Kawahara equation is derived with the help of iterative scheme and the stability of applied technique is established. In order to demonstrate the usability and effectiveness of the new fractional derivative to describe water-waves in the long-wavelength regime, numerical results are presented graphically.
引用
收藏
页码：789 / 796
页数：8
相关论文
共 50 条
  • [1] Analysis of logistic equation pertaining to a new fractional derivative with non-singular kernel
    Kumar, Devendra
    Singh, Jagdev
    Al Qurashi, Maysaa
    Baleanu, Dumitru
    ADVANCES IN MECHANICAL ENGINEERING, 2017, 9 (02):
  • [2] Analysis of the cable equation with non-local and non-singular kernel fractional derivative
    Berat Karaagac
    The European Physical Journal Plus, 133
  • [3] Analysis of the cable equation with non-local and non-singular kernel fractional derivative
    Karaagac, Berat
    EUROPEAN PHYSICAL JOURNAL PLUS, 2018, 133 (02):
  • [4] Analysis of the fractional diffusion equations with fractional derivative of non-singular kernel
    Al-Refai, Mohammed
    Abdeljawad, Thabet
    ADVANCES IN DIFFERENCE EQUATIONS, 2017,
  • [5] Analysis of the fractional diffusion equations with fractional derivative of non-singular kernel
    Mohammed Al-Refai
    Thabet Abdeljawad
    Advances in Difference Equations, 2017
  • [6] A New Generalized Definition of Fractional Derivative with Non-Singular Kernel
    Hattaf, Khalid
    COMPUTATION, 2020, 8 (02)
  • [7] On fractional modelling of dye removal using fractional derivative with non-singular kernel
    Rangaig, Norodin A.
    Convicto, Vernie C.
    JOURNAL OF KING SAUD UNIVERSITY SCIENCE, 2019, 31 (04) : 525 - 527
  • [8] Schrodinger equation involving fractional operators with non-singular kernel
    Gomez-Aguilar, J. F.
    Baleanu, Dumitru
    JOURNAL OF ELECTROMAGNETIC WAVES AND APPLICATIONS, 2017, 31 (07) : 752 - 761
  • [9] Fractional Diffusion Equation under Singular and Non-Singular Kernel and Its Stability
    Gabrick, Enrique C.
    Protachevicz, Paulo R.
    Lenzi, Ervin K.
    Sayari, Elaheh
    Trobia, Jose
    Lenzi, Marcelo K.
    Borges, Fernando S.
    Caldas, Ibere L.
    Batista, Antonio M.
    FRACTAL AND FRACTIONAL, 2023, 7 (11)
  • [10] A novel method for a fractional derivative with non-local and non-singular kernel
    Akgul, Ali
    CHAOS SOLITONS & FRACTALS, 2018, 114 : 478 - 482
12345