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On impulsive fractional differential inclusions with a nonconvex-valued multimap in Banach spaces - MaRDI portal

On impulsive fractional differential inclusions with a nonconvex-valued multimap in Banach spaces (Q6634956)

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scientific article; zbMATH DE number 7940775
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On impulsive fractional differential inclusions with a nonconvex-valued multimap in Banach spaces
scientific article; zbMATH DE number 7940775

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    On impulsive fractional differential inclusions with a nonconvex-valued multimap in Banach spaces (English)
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    8 November 2024
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    In this paper, the authors investigate the abstract impulsive semilinear fractional differential inclusions with nonconvex-valued almost lower semicontinuous nonlinearity and linear closed operator generating strongly continuous semigroups in the separable Banach spaces. The authors employ the fixed point theory for condensing maps to prove the existence of a global solution of the problem under the consideration.
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    impulsive differential inclusion
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    Cauchy problem
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    Caputo fractional derivative
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    almost lower semicontinuous multioperator
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    condensing map
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    fixed point
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    multivalued map
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    measure of noncompactness
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