Solving Fuzzy Volterra Integrodifferential Equations of Fractional Order by Bernoulli Wavelet Method
A matrix method called the Bernoulli wavelet method is presented for numerically solving the fuzzy fractional integrodifferential equations. Using the collocation points, this method transforms the fuzzy fractional integrodifferential equation to a matrix equation which corresponds to a system of no...
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| Format: | Article |
| Language: | English |
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Wiley
2018-01-01
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| Series: | Advances in Fuzzy Systems |
| Online Access: | http://dx.doi.org/10.1155/2018/5603560 |
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| author | R. Mastani Shabestari R. Ezzati T. Allahviranloo |
| author_facet | R. Mastani Shabestari R. Ezzati T. Allahviranloo |
| author_sort | R. Mastani Shabestari |
| collection | DOAJ |
| description | A matrix method called the Bernoulli wavelet method is presented for numerically solving the fuzzy fractional integrodifferential equations. Using the collocation points, this method transforms the fuzzy fractional integrodifferential equation to a matrix equation which corresponds to a system of nonlinear algebraic equations with unknown coefficients. To illustrate the method, it is applied to certain fuzzy fractional integrodifferential equations, and the results are compared. |
| format | Article |
| id | doaj-art-179961541b7e4359bdb69a46b8d03492 |
| institution | Kabale University |
| issn | 1687-7101 1687-711X |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Fuzzy Systems |
| spelling | doaj-art-179961541b7e4359bdb69a46b8d034922025-02-03T01:29:04ZengWileyAdvances in Fuzzy Systems1687-71011687-711X2018-01-01201810.1155/2018/56035605603560Solving Fuzzy Volterra Integrodifferential Equations of Fractional Order by Bernoulli Wavelet MethodR. Mastani Shabestari0R. Ezzati1T. Allahviranloo2Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, IranDepartment of Mathematics, Karaj Branch, Islamic Azad University, Karaj, IranDepartment of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, IranA matrix method called the Bernoulli wavelet method is presented for numerically solving the fuzzy fractional integrodifferential equations. Using the collocation points, this method transforms the fuzzy fractional integrodifferential equation to a matrix equation which corresponds to a system of nonlinear algebraic equations with unknown coefficients. To illustrate the method, it is applied to certain fuzzy fractional integrodifferential equations, and the results are compared.http://dx.doi.org/10.1155/2018/5603560 |
| spellingShingle | R. Mastani Shabestari R. Ezzati T. Allahviranloo Solving Fuzzy Volterra Integrodifferential Equations of Fractional Order by Bernoulli Wavelet Method Advances in Fuzzy Systems |
| title | Solving Fuzzy Volterra Integrodifferential Equations of Fractional Order by Bernoulli Wavelet Method |
| title_full | Solving Fuzzy Volterra Integrodifferential Equations of Fractional Order by Bernoulli Wavelet Method |
| title_fullStr | Solving Fuzzy Volterra Integrodifferential Equations of Fractional Order by Bernoulli Wavelet Method |
| title_full_unstemmed | Solving Fuzzy Volterra Integrodifferential Equations of Fractional Order by Bernoulli Wavelet Method |
| title_short | Solving Fuzzy Volterra Integrodifferential Equations of Fractional Order by Bernoulli Wavelet Method |
| title_sort | solving fuzzy volterra integrodifferential equations of fractional order by bernoulli wavelet method |
| url | http://dx.doi.org/10.1155/2018/5603560 |
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