On the Generalized Mittag-Leffler Function and its Application in a Fractional Telegraph Equation

被引：0
|
作者：
Rubens Figueiredo Camargo
Edmundo Capelas de Oliveira
Jayme Vaz
机构：
[1] Faculdade de Ciências – UNESP,Departamento de Matemática
[2] IMECC – Unicamp,Departamento de Matemática Aplicada
来源：
Mathematical Physics, Analysis and Geometry | 2012年 / 15卷
关键词：
Fractional calculus; Mittag-Leffler functions; Integral transforms; -Fox function; 33E12; 35R11; 26A33; 34A08;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The classical Mittag-Leffler functions, involving one- and two-parameter, play an important role in the study of fractional-order differential (and integral) equations. The so-called generalized Mittag-Leffler function, a function with three-parameter which generalizes the classical ones, appear in the fractional telegraph equation. Here we introduce some integral transforms associated with this generalized Mittag-Leffler function. As particular cases some recent results are recovered.
引用
收藏
页码：1 / 16
页数：15
相关论文
共 50 条
  • [1] On the Generalized Mittag-Leffler Function and its Application in a Fractional Telegraph Equation
    Camargo, Rubens Figueiredo
    de Oliveira, Edmundo Capelas
    Vaz, Jayme, Jr.
    [J]. MATHEMATICAL PHYSICS ANALYSIS AND GEOMETRY, 2012, 15 (01) : 1 - 16
  • [2] Fractional Integrations of a Generalized Mittag-Leffler Type Function and Its Application
    Nisar, Kottakkaran Sooppy
    [J]. MATHEMATICS, 2019, 7 (12)
  • [3] On the generalized fractional integrals of the generalized Mittag-Leffler function
    Ahmed, Shakeel
    [J]. SPRINGERPLUS, 2014, 3
  • [4] On generalized fractional integral with multivariate Mittag-Leffler function and its applications
    Nazir, Amna
    Rahman, Gauhar
    Ali, Asad
    Naheed, Saima
    Nisar, Kottakkaran Soopy
    Albalawi, Wedad
    Zahran, Heba Y.
    [J]. ALEXANDRIA ENGINEERING JOURNAL, 2022, 61 (11) : 9187 - 9201
  • [5] Generalized Mittag-Leffler function and generalized fractional calculus operators
    Kilbas, AA
    Saigo, M
    Saxena, RK
    [J]. INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, 2004, 15 (01) : 31 - 49
  • [6] Fractional differential equations for the generalized Mittag-Leffler function
    Agarwal, Praveen
    Al-Mdallal, Qasem
    Cho, Yeol Je
    Jain, Shilpi
    [J]. ADVANCES IN DIFFERENCE EQUATIONS, 2018,
  • [7] Fractional differential equations for the generalized Mittag-Leffler function
    Praveen Agarwal
    Qasem Al-Mdallal
    Yeol Je Cho
    Shilpi Jain
    [J]. Advances in Difference Equations, 2018
  • [8] Fractional Differintegral Operators of The Generalized Mittag-Leffler Function
    Gupta, Anjali
    Parihar, C. L.
    [J]. BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA, 2015, 33 (01): : 137 - 144
  • [9] Solving Nonlinear Fractional Differential Equation by Generalized Mittag-Leffler Function Method
    A.A.M.Arafa
    Z.Rida
    A.A.Mohammadein
    H.M.Ali
    [J]. Communications in Theoretical Physics, 2013, 59 (06) : 661 - 663
  • [10] Solving Nonlinear Fractional Differential Equation by Generalized Mittag-Leffler Function Method
    Arafa, A. A. M.
    Rida, S. Z.
    Mohammadein, A. A.
    Ali, H. M.
    [J]. COMMUNICATIONS IN THEORETICAL PHYSICS, 2013, 59 (06) : 661 - 663
12345