On topological properties of solution sets of semilinear fractional differential inclusions with non-convex right-hand side
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Bibliographic record
Abstract
In this paper, we study the Cauchy problem for a semilinear fractional order differential inclusion with a nonconvex-valued almost lower semicontinuous nonlinearity and a linear closed operator generating a C 0 -semigroup in a separable Banach space.By using the theory of measure of noncompactness and condensing operators, we study topological properties of the solution set of this problem.We prove that the solution set of the Cauchy problem possesses the classical Kneser connectedness property.
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| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.001 | 0.000 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.001 | 0.000 |
| Bibliometrics | 0.001 | 0.001 |
| Science and technology studies | 0.000 | 0.000 |
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| Open science | 0.000 | 0.000 |
| Research integrity | 0.000 | 0.000 |
| Insufficient payload (model declined to judge) | 0.000 | 0.000 |
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