Asymptotically almost periodic solutions of fractional evolution equations
2021 ◽
Vol 8
(3)
◽
pp. 475-483
Keyword(s):
We study the asymptotic behavior of solutions of nonlinear fractional evolution equations in Banach spaces. Asymptotically almost periodic solutions on half line are obtained by establishing a sharp estimate on the resolvent operator family of evolution equations. In particular, when the semigroup generated by A is exponentially stable then the conditions of the existence asymptotically almost periodic solutions is satisfied. An application to a fractional partial differential equation with initial boundary condition is also considered.
1995 ◽
Vol 122
(2)
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pp. 282-301
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1999 ◽
Vol 31
(3)
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pp. 291-304
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Asymptotically almost periodic solutions of fractional relaxation inclusions with Caputo derivatives
2018 ◽
Vol 104
(118)
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pp. 23-41
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2011 ◽
Vol 217
(22)
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pp. 8963-8972
1975 ◽
pp. 107-115