Implicit Fractional Differential Equations via the Liouville–Caputo Derivative

Mathematics

Juan J. Nieto²  Abelghani Ouahab¹  Venktesh Venktesh² 

[1] Laboratory of Mathematics, Sidi-Bel-Abbès University, P.O. Box 89, Sidi-Bel-Abbès 22000, Algeria; E-Mail:;Department of Mathematical Analysis, University of Santiago de Compostela, Santiago de Compostela 15782, Spain; E-Mail:

关键词: fractional differential equations;    fractional integral;    fractional derivative;    Liouville–Caputo derivative;    implicit;   

DOI  :  10.3390/math3020398

来源: mdpi

【 摘 要 】

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.

【 授权许可】

CC BY   
© 2015 by the authors; licensee MDPI, Basel, Switzerland