Time-dependent perturbations of abstract Volterra equations

M. Kostić

Geodesic

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Time-dependent perturbations of abstract Volterra equations

M. Kostić

Bulletin de l'Académie serbe des sciences. Classe des sciences mathématiques et naturelles, Tome 36 (2011), p. 89

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

Résumé

The main purpose of this review is to provide a detailed analysis of results on time-dependent perturbations of abstract Volterra equations and abstract time-fractional equations with Caputo fractional derivatives. The results obtained are illustrated with some examples.

Classification : 47D06 47D60 47D62 47D99
Keywords: $(a,C)$-regularized resolvent families, time-dependent perturbations, abstract Volterra equations, abstract time-fractional equations

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     author = {M. Kosti\'c},
     title = {Time-dependent perturbations of abstract {Volterra} equations},
     journal = {Bulletin de l'Acad\'emie serbe des sciences. Classe des sciences math\'ematiques et naturelles},
     pages = {89 },
     publisher = {mathdoc},
     volume = {36},
     year = {2011},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/BASS_2011_36_a6/}
}

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M. Kostić. Time-dependent perturbations of abstract Volterra equations. Bulletin de l'Académie serbe des sciences. Classe des sciences mathématiques et naturelles, Tome 36 (2011), p. 89 . http://geodesic.mathdoc.fr/item/BASS_2011_36_a6/