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Existence and Uniqueness Results for Caputo Fractional Differential Equations with Integral Boundary Value Conditions 被引量:1
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作者 XUE Yimin DAI Zhenxiang +1 位作者 LIU Jie SU Ying 《Journal of Partial Differential Equations》 CSCD 2018年第1期56-70,共15页
In the paper, we consider the existence and uniqueness results for Caputo fractional differential equations with integral boundary value condition. The sufficient conditions of existence and uniqueness are obtained by... In the paper, we consider the existence and uniqueness results for Caputo fractional differential equations with integral boundary value condition. The sufficient conditions of existence and uniqueness are obtained by applying the contraction map-ping principle, Krasnoselskii's fixed point theorem and Leray-Schauder degree the-ory, which party improves and extends the associated results of fractional differentialequations. Four examples illustrating our main results are included. 展开更多
关键词 existence and uniqueness Caputo derivative fractional differential equation fixedpoint theorem integral boundary value conditions.
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SOLVABILITY FOR FRACTIONAL FUNCTIONAL DIFFERENTIAL EQUATION BOUNDARY VALUE PROBLEMS AT RESONANCE
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作者 Xiangkui Zhao Fengjiao An Shasha Guo 《Annals of Applied Mathematics》 2016年第3期322-330,共9页
The paper deals a fractional functional boundary value problems with integral boundary conditions. Besed on the coincidence degree theory, some existence criteria of solutions at resonance are established.
关键词 fractional boundary value problem at resonance coincidence degree theory integral boundary conditions
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