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Generalized solutions of an equation with fractional derivatives

Published online by Cambridge University Press:  01 April 2009

B. STANKOVIC  and
T. M. ATANACKOVIC
B. STANKOVIC
Affiliation:
Department of Mathematics, Trg D. Obradovića 4, University of Novi Sad, 21000 Novi Sad, Serbia
T. M. ATANACKOVIC
Affiliation:
Faculty of Technical Sciences, University of Novi Sad, Trg D. Obradovića 5, 21000 Novi Sad, Serbia email: [email protected]
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Abstract

We consider an equation with left and right fractional derivatives which appears as a mathematical model in the mechanics. The type of equations that we analyse appear, as a rule, in variational problems containing fractional derivatives. We look for solutions in a suitably defined sub-space of distributions which is sufficient to enclose different ‘singular’ solutions.

Type
Papers
Information
European Journal of Applied Mathematics , Volume 20 , Issue 2 , April 2009 , pp. 215 - 229
Copyright
Copyright © Cambridge University Press 2008

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