Bessel collocation method for solving variable order fractional problems
| Autor: | Dehestani, Haniye, Ordokhani, Yadollah |
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| Přispěvatelé: | Department of Mathematics [Tehran], Alzahra University |
| Rok vydání: | 2018 |
| Předmět: |
Fractional wavelets
Bessel collocation method Variable-order fractional operational matrix Variable order fractional differential equations Variable order fractional functional boundary value problems Variable order fractional pantograph equations [MATH.MATH-NA]Mathematics [math]/Numerical Analysis [math.NA] |
| Zdroj: | 49th annual iranian mathematics conference 49th annual iranian mathematics conference, 2018, Tehran, Iran. ⟨10.5281/zenodo.3095963⟩ |
| DOI: | 10.5281/zenodo.3095962 |
| Popis: | International audience; In this paper, we examined a wide class of the variable order fractional problems such as linear and nonlin-ear fractional variable order differential equations, variable order fractional functional boundary value problems, variable order fractional pantograph differential equations. The proposed method is a collocation method based on the Bessel polynomials and the operational matrix of derivatives, which transformed equations into a system of non-linear algebraic equations to achieve the approximate solution. By using Caputo fractional derivative, the operational matrix of the variable-order fractional derivatives is constructed. The error analysis shows that the method is convergent. Several numerical results confirm the accuracy and efficiency of the proposed method. Keywords: Bessel collocation method, Variable-order fractional operational matrix, Variable order fractional differential equations, Variable order fractional functional boundary value problems, Variable order fractional panto-graph equations. |
| Databáze: | OpenAIRE |
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