Implicit Fractional Differential Equations via the Liouville–Caputo Derivative

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2015_mathematics_nieto_implicit.pdf (227.07 KB)
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URI: http://hdl.handle.net/10347/23644
E-ISSN: 2227-7390
DOI: 10.3390/math3020398

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2015

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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

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Fractional differential equations| Fractional integral| Fractional derivative| Liouville–Caputo derivative| Implicit

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Nieto, J.J.; Ouahab, A.; Venktesh, V. Implicit Fractional Differential Equations via the Liouville–Caputo Derivative. Mathematics 2015, 3, 398-411

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The research has been partially supported by the Ministerio de Economía y Competitividad of Spain under Grants MTM2010-15314 and MTM2013–43014–P, XUNTA de Galicia, the local government, under Grant R2014/002 and co-financed by the European Community fund FEDER

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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/)
Atribución 4.0 Internacional

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Estatística, Análise Matemática e Optimización