Perturbation theory for fractional evolution equations in a Banach space
نویسندگان
چکیده
A strong inspiration for studying perturbation theory fractional evolution equations comes from the fact that they have proven to be useful tools in modeling many physical processes. We study of order \(\alpha \in (1,2)\) associated with infinitesimal generator an operator cosine (sine) function generated by bounded time-dependent perturbations a Banach space. show abstract Cauchy problem strongly continuous remains uniformly well-posed under A. also provide some necessary special cases using Laplace transform generators given families.
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ژورنال
عنوان ژورنال: Semigroup Forum
سال: 2022
ISSN: ['0037-1912', '1432-2137']
DOI: https://doi.org/10.1007/s00233-022-10322-1