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Analysis of differential equations of fractional order |
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| Authors: | K Sayevand A Golbabai Ahmet Yildirim |
| Institution: | 1. Department of Mathematics, Faculty of Science, Malayer University, Malayer, Iran;2. School of Mathematics, Iran University of Science and Technology, Tehran, Iran;3. Ege University, Science Faculty, Department of Mathematics, 35100 Bornova, Izmir, Turkey;4. University of South Florida, Department of Mathematics and Statistics, Tampa, FL 33620-5700, USA |
| Abstract: | This paper provides a robust convergence checking method for nonlinear differential equations of fractional order with consideration of homotopy perturbation technique. The differential operators are taken in the Caputo sense. Some theorems to prove the existence and uniqueness of the series solutions are presented. Results show that the proposed theoretical analysis is accurate. |
| Keywords: | Caputo fractional derivative Existence and uniqueness of solution Homotopy perturbation technique Nonlinear fractional differential equations |
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