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

被引：0
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作者：
Ali Akgül
Mustafa Inc
Esra Karatas
Dumitru Baleanu
机构：
[1] Siirt University,Department of Mathematics, Art and Science Faculty
[2] Fırat University,Department of Mathematics, Science Faculty
[3] Çanakkale Onsekiz Mart University,Department of Mathematics
[4] Çankaya University,Department of Mathematics and Computer Sciences, Faculty of Arts and Sciences
[5] Institute of Space Sciences,Department of Mathematics
来源：
Advances in Difference Equations | / 2015卷
关键词：
reproducing kernel method; fractional differential equations; Lane-Emden differential equations;
D O I：
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学科分类号：
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.
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