On finite fractional Sturm-Liouville transforms

被引：14
|
作者：
Ansari, Alireza [1 ]
机构：
[1] Shahrekord Univ, Fac Math Sci, Dept Appl Math, Shahrekord, Iran
来源：
INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS | 2015年 / 26卷 / 01期
关键词：
fractional derivative; finite transform; Sturm-Liouville problem; partial fractional differential equation; 34B24; 26A33; EQUATION;
D O I：
10.1080/10652469.2014.966102
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this article, we introduce the finite fractional Sturm-Liouville transforms for the four classes of fractional operators involving the left-sided and right-sided Riemann-Liouville, Caputo and Weyl fractional derivatives. Moreover, the inversion formulas are drawn and the formal and numerical solutions of some partial fractional differential equations are obtained using the finite fractional Legendre, Hankel and Fourier transforms.
引用
收藏
页码：51 / 64
页数：14
相关论文
共 50 条
  • [1] Finite Fractional Sturm-Liouville Transforms For Generalized Fractional Derivatives
    Eshaghi, Shiva
    Ansari, Alireza
    IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A-SCIENCE, 2017, 41 (A4): : 931 - 937
  • [2] BREEDER REACTOR EIGENPROBLEMS AND FINITE STURM-LIOUVILLE TRANSFORMS
    HAIDAR, NHS
    ATOMKERNENERGIE-KERNTECHNIK, 1981, 38 (04): : 278 - 281
  • [3] Application of the Fractional Sturm-Liouville Theory to a Fractional Sturm-Liouville Telegraph Equation
    Ferreira, M.
    Rodrigues, M. M.
    Vieira, N.
    COMPLEX ANALYSIS AND OPERATOR THEORY, 2021, 15 (05)
  • [4] Finite Fractional Sturm–Liouville Transforms For Generalized Fractional Derivatives
    Shiva Eshaghi
    Alireza Ansari
    Iranian Journal of Science and Technology, Transactions A: Science, 2017, 41 : 931 - 937
  • [5] Fractional Sturm-Liouville problem
    Klimek, M.
    Agrawal, O. P.
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2013, 66 (05) : 795 - 812
  • [6] FRACTIONAL ANALOGUE OF STURM-LIOUVILLE OPERATOR
    Tokmagambetov, Niyaz
    Torebek, Berikbol T.
    DOCUMENTA MATHEMATICA, 2016, 21 : 1503 - 1514
  • [7] TEMPERED FRACTIONAL STURM-LIOUVILLE EIGENPROBLEMS
    Zayernouri, Mohsen
    Ainsworth, Mark
    Karniadakis, George Em
    SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2015, 37 (04): : A1777 - A1800
  • [8] A fractional approach to the Sturm-Liouville problem
    Rivero, Margarita
    Trujillo, Juan J.
    Pilar Velasco, M.
    CENTRAL EUROPEAN JOURNAL OF PHYSICS, 2013, 11 (10): : 1246 - 1254
  • [9] Conformable fractional Sturm-Liouville equation
    Allahverdiev, Bilender P.
    Tuna, Huseyin
    Yalcinkaya, Yuksel
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2019, 42 (10) : 3508 - 3526
  • [10] Fractional Sturm-Liouville problems for Weber fractional derivatives
    Derakhshan, Mohammad Hossein
    Ansari, Alireza
    INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2019, 96 (02) : 217 - 237
12345