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Abstract Cauchy problem for fractional differential equations |
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| Authors: | JinRong Wang Yong Zhou Michal Fec̆kan |
| Affiliation: | 1. Department of Mathematics, Guizhou University, Guiyang, Guizhou, 550025, P.R. China 2. Department of Mathematics, Xiangtan University, Xiangtan, Hunan, 411105, P.R. China 3. Department of Mathematical Analysis and Numerical Mathematics, Faculty of Mathematics, Physics and Informatics, Comenius University, Mlynská dolina, 842 48, Bratislava, Slovakia 4. Mathematical Institute, Slovak Academy of Sciences, ?tefánikova 49, 814 73, Bratislava, Slovakia |
| Abstract: | In this paper, a generalized Darbo’s fixed-point theorem associated with Hausdorff measure of noncompactness is established. Then we apply this new variant fixed-point theorem to study some fractional differential equations in Banach spaces via the technique of measure of noncompactness. Many novel existence and uniqueness results for solutions are obtained under the more general conditions. |
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