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Extension of Colombeau algebra to derivatives of arbitrary order , . Application to ODEs and PDEs with entire and fractional derivatives |
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| Authors: | Mirjana Stojanovi&#x; |
| Institution: | aDepartment of Mathematics and Informatics, Faculty of Science, University of Novi Sad, Trg D.Obradovića 4, 21 000 Novi Sad, Serbia |
| Abstract: | We give an extension of Colombeau algebra of generalized functions to fractional derivatives. We apply it in solving ODEs and PDEs with entire and fractional derivatives with respect to temporal and spatial variables. We give applications to ODEs and PDEs driven by fractional derivatives of delta distribution. |
| Keywords: | Extension of Colombeau algebra to derivatives of arbitrary order Fractional derivatives Applications to ODEs and PDEs ODEs and PDEs driven by fractional derivatives of delta distribution |
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