A NON-DIFFERENTIABLE SOLUTION FOR THE LOCAL FRACTIONAL TELEGRAPH EQUATION

被引：0
|
作者：
Li, Jie [1 ]
Zhang, Ce [2 ]
Liu, Weixing [1 ]
Zhang, Yuzhu [1 ]
Yang, Aimin [1 ]
Zhang, Ling [3 ]
机构：
[1] North China Univ Sci & Technol, Minist Educ, Key Lab Modern Met Technol, Tangshan, Peoples R China
[2] Harbin Inst Technol Weihai, Sch Comp Sci & Technol, Weihai, Peoples R China
[3] Yanching Inst Technol, Dev Planning Dept, Sanhe, Peoples R China
来源：
THERMAL SCIENCE | 2017年 / 21卷
基金：
中国国家自然科学基金;
关键词：
telegraph equation; analytical solution; local fractional derivative; water wave; local fractional Laplace series expansion method; SERIES EXPANSION METHOD; DIFFUSION EQUATION; CONVEX-FUNCTIONS; INEQUALITIES; TRANSFORM;
D O I：
10.2298/TSCI17S1225L
中图分类号：
O414.1 [热力学];
学科分类号：
摘要：
In this paper, we consider the linear telegraph equations with local fractional derivative. The local fractional Laplace series expansion method is used to handle the local fractional telegraph equation. The analytical solution with the non-differentiable graphs is discussed in detail. The proposed method is efficient and accurate.
引用
收藏
页码：S225 / S231
页数：7
相关论文
共 50 条
  • [41] NON-DIFFERENTIABLE FRACTIONAL ODD-SOLITON SOLUTIONS OF LOCAL FRACTIONAL GENERALIZED BROER-KAUP SYSTEM BY EXTENDING DARBOUX TRANSFORMATION
    Xu, Bo
    Shi, Pengchao
    Zhang, Sheng
    THERMAL SCIENCE, 2023, 27 (Special Issue 1): : S77 - S86
  • [42] Differentiable Surface Rendering via Non-Differentiable Sampling
    Cole, Forrester
    Genova, Kyle
    Sud, Avneesh
    Vlasic, Daniel
    Zhang, Zhoutong
    2021 IEEE/CVF INTERNATIONAL CONFERENCE ON COMPUTER VISION (ICCV 2021), 2021, : 6068 - 6077
  • [43] Fractional sliding mode control of underwater ROVs subject to non-differentiable disturbances
    Aldo-Jonathan Muñoz-Vázquez
    Heriberto Ramírez-Rodríguez
    Vicente Parra-Vega
    Anand Sánchez-Orta
    International Journal of Control, Automation and Systems, 2017, 15 : 1314 - 1321
  • [44] Fractional Sliding Mode Control of Underwater ROVs Subject to Non-differentiable Disturbances
    Munoz-Vazquez, Aldo-Jonathan
    Ramirez-Rodriguez, Heriberto
    Parra-Vega, Vicente
    Sanchez-Orta, Anand
    INTERNATIONAL JOURNAL OF CONTROL AUTOMATION AND SYSTEMS, 2017, 15 (03) : 1314 - 1321
  • [45] Non-Differentiable Solution of Nonlinear Biological Population Model on Cantor Sets
    Ziane, Djelloul
    Cherif, Mountassir Hamdi
    Baleanu, Dumitru
    Belghaba, Kacem
    FRACTAL AND FRACTIONAL, 2020, 4 (01) : 1 - 9
  • [46] Non-differentiable minimax fractional programming with higher-order type Ifunctions
    G Muhiuddin
    Abdullah M Al-roqi
    I Ahmad
    Journal of Inequalities and Applications, 2013
  • [47] A non-local in time telegraph equation
    Pozo, Juan C.
    Vergara, Vicente
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2020, 193
  • [48] Duality for a non-differentiable programming problem
    Zhang, J
    Mond, B
    BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 1997, 55 (01) : 29 - 44
  • [49] 2 SPACES OF NON-DIFFERENTIABLE FUNCTIONS
    CAUTY, R
    FUNDAMENTA MATHEMATICAE, 1992, 141 (03) : 195 - 214
  • [50] A NON-DIFFERENTIABLE INPUT OUTPUT MODEL
    SZIDAROVSKY, F
    OKUGUCHI, K
    MATHEMATICAL SOCIAL SCIENCES, 1989, 18 (02) : 187 - 190
12345