Fractional exponential operators and time-fractional telegraph equation

被引：18
|
作者：
Ansari, Alireza [1 ]
机构：
[1] Shahrekord Univ, Fac Math Sci, Dept Appl Math, Shahrekord, Iran
来源：
BOUNDARY VALUE PROBLEMS | 2012年
关键词：
Laplace transform; Mellin transform; partial fractional differential equation; Wright function; DIFFERENTIAL-EQUATIONS; OPERATIONAL METHODS; SYSTEM;
D O I：
10.1186/1687-2770-2012-125
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, the Bromwich integral for the inverse Mellin transform is used for finding an integral representation for a fractional exponential operator. This operator can be considered as an approach for solving partial fractional differential equations. Also, application of this operator for obtaining a formal solution of the time-fractional telegraph equation is discussed.
引用
收藏
页数：6
相关论文
共 50 条
  • [21] Nonexistence results for a time-fractional biharmonic diffusion equation
    Jleli, Mohamed
    Samet, Bessem
    BOUNDARY VALUE PROBLEMS, 2024, 2024 (01):
  • [22] Novel simulations to the time-fractional Fisher’s equation
    P. Veeresha
    D. G. Prakasha
    Haci Mehmet Baskonus
    Mathematical Sciences, 2019, 13 : 33 - 42
  • [23] The lumped mass FEM for a time-fractional cable equation
    Al-Maskari, Mariam
    Karaa, Samir
    APPLIED NUMERICAL MATHEMATICS, 2018, 132 : 73 - 90
  • [24] On solutions of time-fractional advection-diffusion equation
    Attia, Nourhane
    Akgul, Ali
    Seba, Djamila
    Nour, Abdelkader
    NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2023, 39 (06) : 4489 - 4516
  • [25] A novel algorithm for time-fractional foam drainage equation
    Al-Mdallal, Qasem M.
    Yusuf, Haruon
    Ali, Alaa
    ALEXANDRIA ENGINEERING JOURNAL, 2020, 59 (03) : 1607 - 1612
  • [26] Novel simulations to the time-fractional Fisher's equation
    Veeresha, P.
    Prakasha, D. G.
    Baskonus, Haci Mehmet
    MATHEMATICAL SCIENCES, 2019, 13 (01) : 33 - 42
  • [27] Numerical approximation of higher-order time-fractional telegraph equation by using a combination of a geometric approach and method of line
    Hashemi, M. S.
    Baleanu, D.
    JOURNAL OF COMPUTATIONAL PHYSICS, 2016, 316 : 10 - 20
  • [28] A Meshfree Time-Splitting Approach for the Time-Fractional Burgers' Equation
    Korkmaz, Erdal
    Yildirim, Kenan
    JOURNAL OF MATHEMATICS, 2023, 2023
  • [29] Fractional telegraph equation under moving time-harmonic impact
    Povstenko, Yuriy
    Ostoja-Starzewski, Martin
    INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER, 2022, 182
  • [30] An Analytic Approximation for Time-Fractional BBM-Burger Equation
    Biazar, Jafar
    Safaei, Saghi
    PUNJAB UNIVERSITY JOURNAL OF MATHEMATICS, 2020, 52 (08): : 61 - 77
12345