Integral representation of solutions of fractional system with distributed delays |
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| Authors: | D. Boyadzhiev A. Zahariev |
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| Affiliation: | Faculty of Mathematics and Informatics, University of Plovdiv Paisii Hilendarski, Plovdiv, Bulgaria |
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| Abstract: | The aim of the present paper is to obtain an integral representation of the solution of the Cauchy problem with discontinuous and continuous initial conditions for linear fractional differential system with Caputo-type derivatives and distributed delay. The obtained results are new even in the particular case of fractional system with constant delays. |
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| Keywords: | Distributed delay fractional derivatives linear fractional differential system integral representation |
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