( F, G, C )-Resolvent Operator Families and Applications

Vladimir E. Fedorov () and Marko Kostić
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Vladimir E. Fedorov: Department of Mathematical Analysis, Mathematics Faculty, Chelyabinsk State University, Kashirin Brothers St. 129, 454001 Chelyabinsk, Russia
Marko Kostić: Faculty of Technical Sciences, University of Novi Sad, Trg D. Obradovića 6, 21125 Novi Sad, Serbia

Mathematics, 2023, vol. 11, issue 16, 1-17

Abstract: In this paper, we introduce and investigate several new classes of ( F , G , C ) -regularized resolvent operator families subgenerated by multivalued linear operators in locally convex spaces. The known classes of ( a , k ) -regularized C -resolvent operator-type families are special cases of the classes introduced in this paper. We provide certain applications of ( F , G , C ) -regularized resolvent operator families and ( a , k ) -regularized C -resolvent families to abstract fractional differential–difference inclusions and abstract Volterra integro-difference inclusions.

Keywords: ( F , G , C )-resolvent operator families; abstract fractional differential–difference inclusions; abstract Volterra integro-difference inclusions; locally convex spaces; well-posedness (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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