Please use this identifier to cite or link to this item: http://hdl.handle.net/10525/1313

 Title: Smoothness Properties of Solutions of Caputo-Type Fractional Differential Equations Authors: Diethelm, Kai Keywords: Fractional Differential EquationInitial Value ProblemCaputo DerivativeSmoothnessWeakly Singular Volterra Integral Equation26A3334A2545D0545E10 Issue Date: 2007 Publisher: Institute of Mathematics and Informatics Bulgarian Academy of Sciences Citation: Fractional Calculus and Applied Analysis, Vol. 10, No 2, (2007), 151p-160p Abstract: We consider ordinary fractional differential equations with Caputo-type differential operators with smooth right-hand sides. In various places in the literature one can find the statement that such equations cannot have smooth solutions. We prove that this is wrong, and we give a full characterization of the situations where smooth solutions exist. The results can be extended to a class of weakly singular Volterra integral equations. Description: Mathematics Subject Classification: 26A33, 34A25, 45D05, 45E10 URI: http://hdl.handle.net/10525/1313 ISSN: 1311-0454 Appears in Collections: 2007

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