(F, G, C)-Resolvent Operator Families and Applications
Copyright policy )(F, G, C)-Resolvent Operator Families and Applications
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.
- University of Novi Sad Serbia
- University of Novi Sad, Faculty of Technical Sciences Serbia
- Chelyabinsk State University Russian Federation
well-posedness, locally convex spaces, QA1-939, (<i>F</i>, <i>G</i>, <i>C</i>)-resolvent operator families, abstract fractional differential–difference inclusions, abstract Volterra integro-difference inclusions, Mathematics
well-posedness, locally convex spaces, QA1-939, (<i>F</i>, <i>G</i>, <i>C</i>)-resolvent operator families, abstract fractional differential–difference inclusions, abstract Volterra integro-difference inclusions, Mathematics
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