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_:Ne5a5e38e568d4167b625a98366a740e7 _:N5ee16b5253cd46cab4f7ceb1b0fc03b2 .
"false"^^ .
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_:N3a9c9a8b3d7e47a68c775fd7a11c0330 .
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"en" .
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_:Nd00f7dc48f8941e285685bbfdb2d7cbd .
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_:N4b46d6a47636471c8b487c462bdb9615 "Department of Mathematics, Guelma University, 24000, Guelma, Algeria" .
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"Yong" .
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"Zhou" .
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"Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Faculty of Science, King Abdulaziz University, 21589, Jeddah, Saudi Arabia" .
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_:Nd00f7dc48f8941e285685bbfdb2d7cbd .
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"1660-5446" .
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"This paper is devoted to study a class of abstract fractional evolution equation in a Banach space X: 1D+\u03B1x(t)+Ax(t)=F(t,x(t)),t\u2208R,where 0<\u03B1<1, -A is the infinitesimal generator of a C0-semigroup on X, and F(t, x) is an appropriate function defined on phase space; the fractional derivative is understood in the Weyl\u2013Liouville sense. Combining the fixed point theorem due to Krasnoselskii and a decomposition technique, we obtain some new sufficient conditions to ensure the existence of asymptotically almost periodic mild solutions for (1). Our result generalizes and improves some previous results, since the Lipschitz continuity on the nonlinearity F(t, x) with respect to x is not required. An example is also presented as an application to illustrate the feasibility of the abstract result." .
"Pure Mathematics" .
"http://link.springer.com/10.1007/s00009-018-1208-7" .
"Department of Mathematics, Guangdong University of Education, 510303, Guangzhou, People\u2019s Republic of China" .
_:N4b46d6a47636471c8b487c462bdb9615 .
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"Asymptotically Almost Periodicity for a Class of Weyl\u2013Liouville fractional Evolution Equations" .
"articles" .
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_:N5ee16b5253cd46cab4f7ceb1b0fc03b2 .
"Cao" .
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"Faculty of Mathematics and Computational Science, Xiangtan University, 411105, Hunan, People\u2019s Republic of China" .
_:N2b15275106b6437fa7cae3ee5e6949ef .
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_:N2b15275106b6437fa7cae3ee5e6949ef _:Ne5a5e38e568d4167b625a98366a740e7 .
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"Mathematical Sciences" .
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_:N2dacd5ab9ce04eab9fefe48b25dfb1ee "10.1007/s00009-018-1208-7" .
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