On solutions of fractional Riccati differential equations

Advances in Difference Equations

Dumitru Baleanu¹  Ali Akgl²  Mehmet Giyas Sakar³ 

[1] Department of Mathematics and Computer Sciences, Art and Science Faculty, ÇDepartment of Mathematics, Art and Science Faculty, Siirt University, Siirt, Turkey;Department of Mathematics, Faculty of Sciences, Yuzuncu Yil University, Van, Turkey;ankaya University, Ankara, Turkey

关键词: iterative reproducing kernel Hilbert space method;    inner product;    fractional Riccati differential equation;    analytic approximation;   

DOI  :  10.1186/s13662-017-1091-8

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

We apply an iterative reproducing kernel Hilbert space method to get the solutions of fractional Riccati differential equations. The analysis implemented in this work forms a crucial step in the process of development of fractional calculus. The fractional derivative is described in the Caputo sense. Outcomes are demonstrated graphically and in tabulated forms to see the power of the method. Numerical experiments are illustrated to prove the ability of the method. Numerical results are compared with some existing methods.

【 授权许可】

CC BY