A Reproducing Kernel Hilbert Space Method for Solving Systems of Fractional Integrodifferential Equations

被引:16
|
作者
Bushnaq, Samia [1 ]
Maayah, Banan [2 ]
Momani, Shaher [2 ,3 ]
Alsaedi, Ahmed [3 ]
机构
[1] Princess Sumaya Univ Technol, King Abdullah II Fac Engn, Dept Sci, Amman 11941, Jordan
[2] Univ Jordan, Fac Sci, Dept Math, Amman 11942, Jordan
[3] King Abdulaziz Univ, Fac Sci, NAAM Res Grp, Jeddah 21589, Saudi Arabia
关键词
DIFFERENTIAL-EQUATIONS;
D O I
10.1155/2014/103016
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We present a new version of the reproducing kernel Hilbert space method (RKHSM) for the solution of systems of fractional integrodifferential equations. In this approach, the solution is obtained as a convergent series with easily computable components. Several illustrative examples are given to demonstrate the effectiveness of the present method. The method described in this paper is expected to be further employed to solve similar nonlinear problems in fractional calculus.
引用
收藏
页数:6
相关论文
共 50 条
  • [1] Reproducing kernel Hilbert space method for solving fractal fractional differential equations
    Attia, Nourhane
    Akgul, Ali
    Seba, Djamila
    Nour, Abdelkader
    Riaz, Muhammad Bilal
    RESULTS IN PHYSICS, 2022, 35
  • [2] Solving Higher-Order Fractional Differential Equations by Reproducing Kernel Hilbert Space Method
    Akgul, Esra Karatas
    Orcan, Baris
    Akgul, Ali
    JOURNAL OF ADVANCED PHYSICS, 2018, 7 (01) : 98 - 102
  • [3] A Reproducing Kernel Hilbert Space Method for Solving Integro-Differential Equations of Fractional Order
    Bushnaq, Samia
    Momani, Shaher
    Zhou, Yong
    JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2013, 156 (01) : 96 - 105
  • [4] Solving multi-order fractional differential equations by reproducing kernel Hilbert space method
    Ghaziani, R. Khoshsiar
    Fardi, M.
    Ghasemi, M.
    COMPUTATIONAL METHODS FOR DIFFERENTIAL EQUATIONS, 2016, 4 (03): : 170 - 190
  • [5] A Reproducing Kernel Hilbert Space Method for Solving Integro-Differential Equations of Fractional Order
    Samia Bushnaq
    Shaher Momani
    Yong Zhou
    Journal of Optimization Theory and Applications, 2013, 156 : 96 - 105
  • [6] REPRODUCING KERNEL HILBERT SPACE METHOD FOR SOLVING FREDHOLM INTEGRO-DIFFERENTIAL EQUATIONS OF FRACTIONAL ORDER
    Bushnaq, Samia
    Maayah, Banan
    Ahmad, Morad
    ITALIAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2016, (36): : 307 - 318
  • [7] A Modified Reproducing Kernel Hilbert Space Method for Solving Fuzzy Fractional Integro-differential Equations
    Hasan, Shatha
    Maayah, Banan
    Bushnaq, Samia
    Momani, Shaher
    BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA, 2023, 41
  • [8] investigating nonlinear fractional systems: reproducing kernel Hilbert space method
    Attia, Nourhane
    Akgul, Ali
    Alqahtani, Rubayyi T.
    OPTICAL AND QUANTUM ELECTRONICS, 2024, 56 (01)
  • [9] investigating nonlinear fractional systems: reproducing kernel Hilbert space method
    Nourhane Attia
    Ali Akgül
    Rubayyi T. Alqahtani
    Optical and Quantum Electronics, 2024, 56
  • [10] Reproducing Kernel Method for Solving Nonlinear Fractional Fredholm Integrodifferential Equation
    Kashkari, Bothayna S. H.
    Syam, Muhammed I.
    COMPLEXITY, 2018,