Nieto Roig, Juan JoséOuahab, AbdelghaniVenktesh, Venktesh2020-11-102020-11-102015Nieto, J.J.; Ouahab, A.; Venktesh, V. Implicit Fractional Differential Equations via the Liouville–Caputo Derivative. Mathematics 2015, 3, 398-411http://hdl.handle.net/10347/23644We 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 resultseng© 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 Internacionalhttp://creativecommons.org/licenses/by/4.0/Fractional differential equationsFractional integralFractional derivativeLiouville–Caputo derivativeImplicitjournal article10.3390/math30203982227-7390open access