Existence and uniqueness of mild solutions for semilinear integro-differential equations of fractional order with nonlocal initial conditions and delays |
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| Authors: | Lanying Hu Yong Ren R Sakthivel |
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| Institution: | 1.Department of Mathematics,Anhui Normal University,WuHu,China;2.School of Mathematics,University of Tasmania,Hobart,Australia;3.Department of Mathematics,Sungkyunkwan University,Suwon,South Korea |
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| Abstract: | In this paper, we establish the existence and uniqueness of mild solutions for a class of semilinear integro-differential
equations of fractional order with nonlocal initial conditions and delays in α-norm. And the main tool is the fixed point theorem due to Sadovskii. Some known results are generalized. |
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