Implicit Fractional Differential Equations via the Liouville–Caputo Derivative

Juan J. Nieto, Abelghani Ouahab and Venktesh Venktesh
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Juan J. Nieto: Department of Mathematical Analysis, University of Santiago de Compostela, Santiago de Compostela 15782, Spain
Abelghani Ouahab: Laboratory of Mathematics, Sidi-Bel-Abbès University, P.O. Box 89, Sidi-Bel-Abbès 22000, Algeria
Venktesh Venktesh: Department of Mathematical Analysis, University of Santiago de Compostela, Santiago de Compostela 15782, Spain

Mathematics, 2015, vol. 3, issue 2, 1-14

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.

Keywords: fractional differential equations; fractional integral; fractional derivative; Liouville–Caputo derivative; implicit (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2015
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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