Volume 31, Issue 1
Existence and Uniqueness Results for Caputo Fractional Differential Equations with Integral Boundary Value Conditions

Yimin Xue, Zhenxiang Dai, Jie LiuYing Su

J. Part. Diff. Eq., 31 (2018), pp. 56-70.

Published online: 2018-07

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  • Abstract

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 mapping principle, Krasnoselskii’s fixed point theorem and Leray-Schauder degree theory, which partly improves and extends the associated results of fractional differential equations. Four examples illustrating our main results are included.

  • Keywords

existence and uniqueness Caputo derivative fractional differential equation fixed point theorem integral boundary value conditions.

  • AMS Subject Headings

26A33, 34A08, 34B18

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address

xueym@xzit.edu.cn (Yimin Xue)

402898530@qq.com (Zhenxiang Dai)

1046550060@qq.com (Jie Liu)

suyingxzit@163.com (Ying Su)

  • BibTex
  • RIS
  • TXT
@Article{JPDE-31-56, author = {Xue , Yimin and Dai , Zhenxiang and Liu , Jie and Su , Ying}, title = {Existence and Uniqueness Results for Caputo Fractional Differential Equations with Integral Boundary Value Conditions}, journal = {Journal of Partial Differential Equations}, year = {2018}, volume = {31}, number = {1}, pages = {56--70}, abstract = {

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 mapping principle, Krasnoselskii’s fixed point theorem and Leray-Schauder degree theory, which partly improves and extends the associated results of fractional differential equations. Four examples illustrating our main results are included.

}, issn = {2079-732X}, doi = {https://doi.org/10.4208/jpde.v31.n1.5}, url = {http://global-sci.org/intro/article_detail/jpde/12517.html} }
TY - JOUR T1 - Existence and Uniqueness Results for Caputo Fractional Differential Equations with Integral Boundary Value Conditions AU - Xue , Yimin AU - Dai , Zhenxiang AU - Liu , Jie AU - Su , Ying JO - Journal of Partial Differential Equations VL - 1 SP - 56 EP - 70 PY - 2018 DA - 2018/07 SN - 31 DO - http://doi.org/10.4208/jpde.v31.n1.5 UR - https://global-sci.org/intro/article_detail/jpde/12517.html KW - existence and uniqueness KW - Caputo derivative KW - fractional differential equation KW - fixed point theorem KW - integral boundary value conditions. AB -

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 mapping principle, Krasnoselskii’s fixed point theorem and Leray-Schauder degree theory, which partly improves and extends the associated results of fractional differential equations. Four examples illustrating our main results are included.

YiminXue, ZhenxiangDai, JieLiu & YingSu. (2019). Existence and Uniqueness Results for Caputo Fractional Differential Equations with Integral Boundary Value Conditions. Journal of Partial Differential Equations. 31 (1). 56-70. doi:10.4208/jpde.v31.n1.5
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