Homotopy analysis method for solving linear and nonlinear fractional diffusion-wave equation |
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| Authors: | H. Jafari S. Seifi |
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| Affiliation: | 1. Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah, Saudi Arabia;2. Department of Mathematics, Faculty of Science, Beni-Suef University, Beni-Suef, Egypt;3. Department of Mathematics, Faculty of Science, Cairo University, Giza, Egypt;4. Department of Chemical and Materials Engineering, Faculty of Engineering, King Abdulaziz University, Jeddah, Saudi Arabia;5. Department of Mathematics and Computer Sciences, Cankaya University, Ankara, Turkey;6. Institute of Space Sciences, Magurele-Bucharest, R 76900, Romania;7. Department of Basic Science, Institute of Information Technology, Modern Academy, Cairo, Egypt;1. Department of Applied Mathematics, Faculty of Mathematics and Computer Science, Amirkabir University of Technology, No. 424, Hafez Ave., 15914, Tehran, Iran;2. Department of Applied Mathematics, Faculty of Mathematical Science, University of Kashan, Kashan, Iran;1. Department of Mathematics, Alzahra University, Tehran, Iran;2. Department of Mathematics and Statistics, Mississippi State University, MS 39762, USA |
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| Abstract: | In this paper, we adopt the homotopy analysis method (HAM) to obtain solutions of linear and nonlinear fractional diffusion and wave equation. The fractional derivative is described in the Caputo sense. Some illustrative examples are presented. |
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