Geodesic
On a class of partial fractional integro-differential inclusions
Novi Sad Journal of Mathematics, Tome 53 (2023) no. 1.

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A Darboux problem associated to a fractional hyperbolic integro-differential inclusion defined by a Caputo type fractional derivative is studied. We obtain an existence result for this problem in the situation when the values of the set-valued map are not convex by employing a method originally introduced by Filippov. Also, we provide the existence of solutions continuously depending on a parameter for the problem studied. This second result allows to deduce a continuous selection of the solution set of the problem considered.
Publié le :
DOI : 10.30755/NSJOM.12465
Classification : 34A60, 26A33, 34A08
Keywords: differential inclusion, fractional derivative, decomposable set 
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     author = {Aurelian Cernea},
     title = {On a class of partial fractional integro-differential inclusions},
     journal = {Novi Sad Journal of Mathematics},
     pages = {61 - 74},
     publisher = {mathdoc},
     volume = {53},
     number = {1},
     year = {2023},
     doi = {10.30755/NSJOM.12465},
     url = {http://geodesic.mathdoc.fr/articles/10.30755/NSJOM.12465/}
}
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Aurelian Cernea. On a class of partial fractional integro-differential inclusions. Novi Sad Journal of Mathematics, Tome 53 (2023) no. 1. doi : 10.30755/NSJOM.12465. http://geodesic.mathdoc.fr/articles/10.30755/NSJOM.12465/

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