On Fractional Evolution Inclusion Coupled with a Time and State Dependent Maximal Monotone Operator

The paper deals with second-order evolution problems driven by time and state dependent maximal monotone operators with non-Lipschitz perturbations. Systems governed by a couple of an evolution inclusion involving time and state dependent maximal monotone operator and a differential equation with fr...

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Bibliographic Details
Published in:Set-valued and variational analysis 2022-06, Vol.30 (2), p.621-656
Main Authors: Castaing, Charles, Godet-Thobie, C., Saïdi, Soumia
Format: Article
Language:English
Subjects:
Analysis
Differential equations
Evolution
Mathematics
Mathematics and Statistics
Optimization
Original Research
Perturbation
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Summary:The paper deals with second-order evolution problems driven by time and state dependent maximal monotone operators with non-Lipschitz perturbations. Systems governed by a couple of an evolution inclusion involving time and state dependent maximal monotone operator and a differential equation with fractional derivatives are also investigated.
ISSN:1877-0533
1877-0541
DOI:10.1007/s11228-021-00611-2