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Semilinear ordinary differential equation coupled with distributed order fractional differential equation |
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| Authors: | Teodor M Atanackovic Stevan Pilipovi? |
| Institution: | a Faculty of Technical Sciences, University of Novi Sad, Trg D. Obradovi?a 5, 21000 Novi Sad, Serbia b Institute of Mathematics, Serbian Academy of Science, Kneza Mihaila 36, 11000 Belgrade, Serbia c Department of Mathematics and Informatics, University of Novi Sad, Trg Dositeja Obradovi?a 4, 21000 Novi Sad, Serbia |
| Abstract: | The system  , where Dγ,γ∈0,2] are operators of fractional differentiation, is investigated and the existence of a mild and classical solution is proven. Also, a necessary and sufficient condition for the existence and uniqueness of a solution to a general linear fractional differential equation  ,  in  is given. |
| Keywords: | 26A33 34G20 47H10 |
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