Numerical solution of fractional delay-integro-differential equations with a weakly singular kernel
| Autor: | Dehestani, Haniye, Ordokhani, Yadollah |
|---|---|
| Přispěvatelé: | Department of Mathematics [Tehran], Alzahra University |
| Rok vydání: | 2020 |
| Předmět: |
Operational matrix of integration Mathematics Subject Classification [2010]: 65D30
Mathematics::Analysis of PDEs MathematicsofComputing_NUMERICALANALYSIS Operational matrix Conformable fractional derivative 34A08 Genocchi wavelet functions 34K28 Fractional wavelets fractional delay-integro-differential equations Numerical solution ComputingMethodologies_SYMBOLICANDALGEBRAICMANIPULATION Bessel polynomials [MATH]Mathematics [math] 65L70 Fractional di↵erential equations AMS Mathematical Subject Classification [2010]: 65M70 Weakly singular delay-integro-di↵erential equations [MATH.MATH-NA]Mathematics [math]/Numerical Analysis [math.NA] |
| Zdroj: | The 7th seminar on numerical analysis and its applications The 7th seminar on numerical analysis and its applications, Jul 2018, Kerman, Iran. ⟨10.5281/zenodo.3091858⟩ |
| DOI: | 10.6084/m9.figshare.12735650 |
| Popis: | International audience; In this paper, a new numerical method for solving fractional delay-integro-di↵erential equations (FDIDEs) with a weakly singular kernel is presented. The transformation matrix of Bessel polynomials to Taylor polynomials and Taylor operational matrix of integration are used to transform the equation to a system of algebraic equations. Illustrative examples are included to demonstrate the validity and applicability of the technique. |
| Databáze: | OpenAIRE |
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