Monotone solutions for singular fractional boundary value problems
In this paper, we investigate a boundary value problem of fractional differential equation. The nonlinear term includes fractional derivatives and is singular with respect to space variables. By means of Schaefer’s fixed point theorem and Vitali convergence theorem, an existence result of monotone s...
Elmentve itt :
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| Dokumentumtípus: | Folyóirat |
| Megjelent: |
2020
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| Sorozat: | Electronic journal of qualitative theory of differential equations
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| Kulcsszavak: | Határérték probléma - differenciálegyenletek |
| doi: | 10.14232/ejqtde.2020.1.15 |
| Online Access: | http://acta.bibl.u-szeged.hu/69519 |
| Tartalmi kivonat: | In this paper, we investigate a boundary value problem of fractional differential equation. The nonlinear term includes fractional derivatives and is singular with respect to space variables. By means of Schaefer’s fixed point theorem and Vitali convergence theorem, an existence result of monotone solutions is obtained. The proofs are based on regularization and sequential techniques. An example is also given to illustrate our main result. |
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| ISSN: | 1417-3875 |