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.
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页数:6
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