On an Initial Value Problem for Nonconvex-Valued Fractional Differential Inclusions in a Banach Space
Based on fixed point theory for condensing operators, an initial value problem for semilinear differential inclusions of fractional order in Banach spaces is studied. It is assumed that the linear part of the inclusion generates a family of cosine operator functions and the nonlinear part is a multi...
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| Veröffentlicht in: | Mathematical Notes 2024-04, Vol.115 (3-4), p.358-370 |
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| container_title | Mathematical Notes |
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| creator | Obukhovskii, V. V. Petrosyan, G. G. Soroka, M. S. |
| description | Based on fixed point theory for condensing operators, an initial value problem for semilinear differential inclusions of fractional order
in Banach spaces is studied. It is assumed that the linear part of the inclusion generates a family of cosine operator functions and the nonlinear part is a multivalued map with nonconvex values. Local and global existence theorems for mild solutions of the initial value problem are proved. |
| doi_str_mv | 10.1134/S0001434624030088 |
| format | Article |
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| source | Springer Nature - Complete Springer Journals |
| subjects | 14/34 639/766/189 639/766/530 639/766/747 Banach spaces Boundary value problems Existence theorems Fixed points (mathematics) Inclusions Mathematics Mathematics and Statistics Operators (mathematics) |
| title | On an Initial Value Problem for Nonconvex-Valued Fractional Differential Inclusions in a Banach Space |
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