Implicit Fractional Differential Equations via the Liouville–Caputo Derivative
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| Title: | Implicit Fractional Differential Equations via the Liouville–Caputo Derivative |
| Author: | Nieto Roig, Juan José Ouahab, Abdelghani Venktesh, Venktesh |
| Affiliation: | Universidade de Santiago de Compostela. Departamento de Estatística, Análise Matemática e Optimización |
| Subject: | Fractional differential equations | Fractional integral | Fractional derivative | Liouville–Caputo derivative | Implicit | |
| Date of Issue: | 2015 |
| Publisher: | MDPI |
| Citation: | Nieto, J.J.; Ouahab, A.; Venktesh, V. Implicit Fractional Differential Equations via the Liouville–Caputo Derivative. Mathematics 2015, 3, 398-411 |
| Abstract: | We study an initial value problem for an implicit fractional differential equation with the Liouville–Caputo fractional derivative. By using fixed point theory and an approximation method, we obtain some existence and uniqueness results |
| Publisher version: | https://doi.org/10.3390/math3020398 |
| URI: | http://hdl.handle.net/10347/23644 |
| DOI: | 10.3390/math3020398 |
| E-ISSN: | 2227-7390 |
| Rights: | © 2015 by the authors; licensee MDPI, Basel, Switzerland This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution license (http://creativecommons.org/licenses/by/4.0/) Atribución 4.0 Internacional |
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© 2015 by the authors; licensee MDPI, Basel, Switzerland This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution license (http://creativecommons.org/licenses/by/4.0/)
© 2015 by the authors; licensee MDPI, Basel, Switzerland This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution license (http://creativecommons.org/licenses/by/4.0/)