Integro-differential equations in Banach spaces and analytic resolving families of operators

We study a class of equations in Banach spaces with a Riemann–Liouville-type integro-differential operator with an operator-valued convolution kernel. The properties of \(k\)-resolving operators of such equations are studied and the class \(\mathcal A_{m,K,\chi}\) of linear closed operators is defi...

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Bibliographic Details

Main Authors:	V. E. Fedorov, A. D. Godova
Format:	Artigo
Language:	Inglês
Published:	Peoples’ Friendship University of Russia (RUDN University) 2023-01-01
Series:	Современная математика: Фундаментальные направления
Subjects:	integro-differential equations banach spaces riemann-liouville operator unique solvability riemann-liouville fractional derivatives prabhakar fractional derivative
Online Access:	https://journals.rudn.ru/CMFD/article/viewFile/34600/22081
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