Local Fractional Laplace Variational Iteration Method for Nonhomogeneous Heat Equations Arising in Fractal Heat Flow

被引：8
|
作者：
Xu, Shu [1 ,2 ]
Ling, Xiang [1 ]
Cattani, Carlo [3 ]
Xie, Gong-Nan [4 ]
Yang, Xiao-Jun [5 ]
Zhao, Yang [6 ]
机构：
[1] Nanjing Univ Technol, Sch Mech & Power Engn, Nanjing 210009, Jiangsu, Peoples R China
[2] Huaihai Inst Technol, Sch Mech Engn, Lianyungang 222005, Peoples R China
[3] Univ Salerno, Dept Math, I-84084 Salerno, Italy
[4] Northwestern Polytech Univ, Sch Mech Engn, Xian 710072, Shaanxi, Peoples R China
[5] China Univ Min & Technol, Dept Math & Mech, Xuzhou 221008, Jiangsu, Peoples R China
[6] Jiangmen Polytech, Elect & Informat Technol Dept, Jiangmen 529090, Peoples R China
来源：
MATHEMATICAL PROBLEMS IN ENGINEERING | 2014年 / 2014卷
关键词：
ORDER THEORY; CONDUCTION; DIFFUSION;
D O I：
10.1155/2014/914725
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
The local fractional Laplace variational iteration method is used for solving the nonhomogeneous heat equations arising in the fractal heat flow. The approximate solutions are nondifferentiable functions and their plots are also given to show the accuracy and efficiency to implement the previous method.
引用
收藏
页数：7
相关论文
共 50 条
  • [21] Modified Variational Iteration Method for Heat and Wave-Like Equations
    Muhammad Aslam Noor
    Syed Tauseef Mohyud-Din
    Acta Applicandae Mathematicae, 2008, 104 : 257 - 269
  • [22] LOCAL FRACTIONAL VARIATIONAL ITERATION METHOD FOR DIFFUSION AND WAVE EQUATIONS ON CANTOR SETS
    Yang, Xiao-Jun
    Baleanu, Dumitru
    Khan, Yasir
    Mohyud-Din, S. T.
    ROMANIAN JOURNAL OF PHYSICS, 2014, 59 (1-2): : 36 - 48
  • [23] He–Laplace variational iteration method for solving the nonlinear equations arising in chemical kinetics and population dynamics
    Muhammad Nadeem
    Ji-Huan He
    Journal of Mathematical Chemistry, 2021, 59 : 1234 - 1245
  • [24] Analytical Solutions of the One-Dimensional Heat Equations Arising in Fractal Transient Conduction with Local Fractional Derivative
    Yang, Ai-Ming
    Cattani, Carlo
    Jafari, Hossein
    Yang, Xiao-Jun
    ABSTRACT AND APPLIED ANALYSIS, 2013,
  • [25] Local Fractional Variational Iteration Method for Solving Nonlinear Partial Differential Equations within Local Fractional Operators
    Jafari, Hossein
    Jassim, Hassan Kamil
    APPLICATIONS AND APPLIED MATHEMATICS-AN INTERNATIONAL JOURNAL, 2015, 10 (02): : 1055 - 1065
  • [26] Application of variational iteration method and homotopy-perturbation method for nonlinear heat diffusion and heat transfer equations
    Ganji, D. D.
    Afrouzi, G. A.
    Talarposhti, R. A.
    PHYSICS LETTERS A, 2007, 368 (06) : 450 - 457
  • [27] Variational iteration transform method for fractional differential equations
    Ziane, Djelloul
    Cherif, Mountassir Hamdi
    JOURNAL OF INTERDISCIPLINARY MATHEMATICS, 2018, 21 (01) : 185 - 199
  • [28] A New Technique of Laplace Variational Iteration Method for Solving Space-Time Fractional Telegraph Equations
    Alawad, Fatima A.
    Yousif, Eltayeb A.
    Arbab, Arbab I.
    INTERNATIONAL JOURNAL OF DIFFERENTIAL EQUATIONS, 2013, 2013
  • [29] Variational iteration method for fractional calculus - a universal approach by Laplace transform
    Guo-Cheng Wu
    Dumitru Baleanu
    Advances in Difference Equations, 2013
  • [30] Variational iteration method for fractional calculus - a universal approach by Laplace transform
    Wu, Guo-Cheng
    Baleanu, Dumitru
    ADVANCES IN DIFFERENCE EQUATIONS, 2013,
12345