Analysis of Riccati Differential Equations within a New Fractional Derivative without Singular Kernel

被引：8
|
作者：
Jafari, Hossein [1 ,5 ]
Lia, Atena [1 ]
Tejadodi, Haleh [2 ]
Baleanu, Dumitru [3 ,4 ]
机构：
[1] Univ Mazandaran, Dept Math, POB 47416-95447, Babol Sar, Iran
[2] Univ Sistan & Baluchestan, Dept Math, Zahedan, Iran
[3] Cankaya Univ, Dept Math, TR-06530 Ankara, Turkey
[4] Inst Space Sci, MG 23, Magurele 76900, Romania
[5] Univ South Africa, Dept Math Sci, POB 392, ZA-0003 Unisa, South Africa
来源：
FUNDAMENTA INFORMATICAE | 2017年 / 151卷 / 1-4期
关键词：
Caputo-Fabrizio derivative; Riccati differential equations; Fractional derivative;
D O I：
10.3233/FI-2017-1485
中图分类号：
TP31 [计算机软件];
学科分类号：
081202 ; 0835 ;
摘要：
Recently Caputo and Fabrizio suggested new definition of fractional derivative that the new kernel has no singularity. In this paper, an analytical method for solving Riccati differential equation with a new fractional derivative is reported. We present numerical results of solving the fractional Riccati differential equations by using the variational iteration method and its modification. The obtained results of two methods demonstrate the efficiency and simplicity of the MVIM that gives good approximations for a larger interval.
引用
收藏
页码：161 / 171
页数：11
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