Numerical solutions of fractional differential equations of Lane-Emden type by an accurate technique

Advances in Difference Equations

Dumitru Baleanu¹  Ali Akgl⁵  Mustafa Inc⁶  Esra Karatas^1,10 

[1] ğ, Turkey;Department of Mathematics and Computer Sciences, Faculty of Arts and Sciences, ÇDepartment of Mathematics, ÇDepartment of Mathematics, Art and Science Faculty, Siirt University, Siirt, Turkey;Department of Mathematics, Science Faculty, Fıanakkale Onsekiz Mart University, Çanakkale, Turkey;ankaya University, Ankara, Turkey;rat University, Elazı

关键词: reproducing kernel method;    fractional differential equations;    Lane-Emden differential equations;   

DOI  :  10.1186/s13662-015-0558-8

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this work, we study the fractional order Lane-Emden differential equations by using the reproducing kernel method. The exact solution is shown in the form of a series in the reproducing kernel Hilbert space. Some numerical examples are given in order to demonstrate the accuracy of the present method. The results obtained from the method are compared with the exact solutions and another method. The obtained numerical results are better than the ones provided by the collocation method. Results of numerical examples show that the presented method is simple, effective, and easy to use.

【 授权许可】

CC BY