# Smoothness Properties of Solutions of Caputo-Type Fractional Differential Equations

Fractional Calculus and Applied Analysis (2007)

- Volume: 10, Issue: 2, page 151-160
- ISSN: 1311-0454

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topDiethelm, Kai. "Smoothness Properties of Solutions of Caputo-Type Fractional Differential Equations." Fractional Calculus and Applied Analysis 10.2 (2007): 151-160. <http://eudml.org/doc/11324>.

@article{Diethelm2007,

abstract = {Mathematics Subject Classification: 26A33, 34A25, 45D05, 45E10We 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.},

author = {Diethelm, Kai},

journal = {Fractional Calculus and Applied Analysis},

keywords = {26A33; 34A25; 45D05; 45E10},

language = {eng},

number = {2},

pages = {151-160},

publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},

title = {Smoothness Properties of Solutions of Caputo-Type Fractional Differential Equations},

url = {http://eudml.org/doc/11324},

volume = {10},

year = {2007},

}

TY - JOUR

AU - Diethelm, Kai

TI - Smoothness Properties of Solutions of Caputo-Type Fractional Differential Equations

JO - Fractional Calculus and Applied Analysis

PY - 2007

PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences

VL - 10

IS - 2

SP - 151

EP - 160

AB - Mathematics Subject Classification: 26A33, 34A25, 45D05, 45E10We 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.

LA - eng

KW - 26A33; 34A25; 45D05; 45E10

UR - http://eudml.org/doc/11324

ER -

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