Publications de l'Institut Mathématique, Nouvelle SérieVol. 80(94), pp. 259–272 (2006)
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Publications de l'Institut Mathématique, Nouvelle Série Vol. 80(94), pp. 259–272 (2006) |
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AN EQUATION WITH LEFT AND RIGHT FRACTIONAL DERIVATIVESB. StankovicDepartment of Mathematics, University of Novi Sad, 21000 Novi Sad, SerbiaAbstract: We consider an equation with left and right fractional derivatives and with the boundary condition $y(0)=\lim\limits_{x\to 0^+}y(x)=0$, $y(b)=\lim\limits_{x\to b^-}y(x)=0$ in the space $\mathcal{L}^1(0, b)$ and in the subspace of tempered distributions. The asymptotic behavior of solutions in the end points $0$ and $b$ have been specially analyzed by using Karamata's regularly varying functions. Keywords: Right and left Riemann–Liuville fractional derivative, Fractional differential equation, Regulary varying functions Classification (MSC2000): 26A33, 26A12 Full text of the article: (for faster download, first choose a mirror)
Electronic fulltext finalized on: 10 Oct 2006. This page was last modified: 4 Dec 2006.
© 2006 Mathematical Institute of the Serbian Academy of Science and Arts
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