AN OPERATIONAL APPROACH WITH APPLICATION TO FRACTIONAL BESSEL EQUATION

被引:7
|
作者
Bengochea, Gabriel [1 ]
机构
[1] Univ Autonoma Ciudad Mexico, Acad Matemat, Mexico City, DF, Mexico
关键词
operational calculus; fractional differential equations; fractional order Bessel operator;
D O I
10.1515/fca-2015-0069
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We propose a new definition for the fractional order Bessel operator which is based on Liouville's first formula for a fractional derivative. From this definition we construct an operational calculus and solve fractional order Bessel equations.
引用
收藏
页码:1201 / 1211
页数:11
相关论文
共 50 条
  • [1] An Operational Approach With Application to Fractional Bessel Equation
    Gabriel Bengochea
    Fractional Calculus and Applied Analysis, 2015, 18 : 1201 - 1211
  • [2] Fractional Bessel differential equation and fractional Bessel functions
    Abu Hammad, Ma'mon
    AlSharif, Sh.
    Khalil, R.
    Shmasneh, A.
    ITALIAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2022, (47): : 521 - 531
  • [3] Fractional Bessel differential equation and fractional Bessel functions
    Hammad, Mamon Abu
    AlSharif, Sh.
    Khalil, R.
    Shmasneh, A.
    Italian Journal of Pure and Applied Mathematics, 2022, 47 : 521 - 531
  • [4] The fractional Bessel equation in Holder spaces
    Betancor, Jorge J.
    Castro, Alejandro J.
    Stinga, Pablo Raiul
    JOURNAL OF APPROXIMATION THEORY, 2014, 184 : 55 - 99
  • [5] The Riesz–Bessel Fractional Diffusion Equation
    V.V. Anh
    R. McVinish
    Applied Mathematics and Optimization, 2004, 49 : 241 - 264
  • [6] A note on fractional Bessel equation and its asymptotics
    Okrasinski, Wojciech
    Plociniczak, Lukasz
    FRACTIONAL CALCULUS AND APPLIED ANALYSIS, 2013, 16 (03) : 559 - 572
  • [7] The Riesz-Bessel fractional diffusion equation
    Anh, VV
    McVinish, R
    APPLIED MATHEMATICS AND OPTIMIZATION, 2004, 49 (03): : 241 - 264
  • [8] A note on fractional Bessel equation and its asymptotics
    Wojciech Okrasiński
    Łukasz Płociniczak
    Fractional Calculus and Applied Analysis, 2013, 16 : 559 - 572
  • [9] Operational matrix approach for approximate solution of fractional model of Bloch equation
    Singh, Harendra
    JOURNAL OF KING SAUD UNIVERSITY SCIENCE, 2017, 29 (02) : 235 - 240
  • [10] On Fractional Whittaker Equation and Operational Calculus
    Rodrigues, M. M.
    Vieira, N.
    JOURNAL OF MATHEMATICAL SCIENCES-THE UNIVERSITY OF TOKYO, 2013, 20 (01): : 127 - 146