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- W4285282983 abstract "Abstract In this paper, we study the existence of solutions for the neutral evolution equations with nonlocal conditions and delay in <m:math xmlns:m=http://www.w3.org/1998/Math/MathML> <m:mi>α</m:mi> </m:math> alpha -norm, which are more general than in many previous publications. We assume that the linear part generates an analytic semigroup and transforms them into suitable integral equations. By using the Kuratowski measure of noncompactness and fixed-point theory, some existence theorems are established without the assumption of compactness on the associated semigroup. Particularly, our results cover the cases where the nonlinear term <m:math xmlns:m=http://www.w3.org/1998/Math/MathML> <m:mi>F</m:mi> </m:math> F takes values in different spaces such as <m:math xmlns:m=http://www.w3.org/1998/Math/MathML> <m:msub> <m:mrow> <m:mi>X</m:mi> </m:mrow> <m:mrow> <m:mi>α</m:mi> </m:mrow> </m:msub> </m:math> {X}_{alpha } . An example of neutral partial differential system is also given to illustrate the feasibility of our abstract results." @default.
- W4285282983 created "2022-07-14" @default.
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- W4285282983 date "2022-01-01" @default.
- W4285282983 modified "2023-10-01" @default.
- W4285282983 title "Existence results for neutral evolution equations with nonlocal conditions and delay via fractional operator" @default.
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- W4285282983 doi "https://doi.org/10.1515/math-2022-0044" @default.
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