Iterative techniques with computer realization for initial value problems for Riemann–Liouville fractional differential equations
| Autor: | Snezhana Hristova, Donal O'Regan, Angel Golev, Ravi P. Agarwal |
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| Rok vydání: | 2020 |
| Předmět: |
Applied Mathematics
010103 numerical & computational mathematics Riemann liouville 01 natural sciences 010101 applied mathematics Computational Theory and Mathematics Applied mathematics Initial value problem 0101 mathematics Statistics Probability and Uncertainty Fractional differential Realization (systems) Mathematical Physics Mathematics |
| Zdroj: | Journal of Applied Analysis. 26:21-47 |
| ISSN: | 1869-6082 1425-6908 |
| Popis: | The main aim of this paper is to suggest some algorithms and to use them in an appropriate computer environment to solve approximately the initial value problem for scalar nonlinear Riemann–Liouville fractional differential equations on a finite interval. The iterative schemes are based on appropriately defined lower and upper solutions to the given problem. A number of different cases depending on the type of lower and upper solutions are studied and various schemes for constructing successive approximations are provided. The suggested schemes are applied to some problems and their practical usefulness is illustrated. |
| Databáze: | OpenAIRE |
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