On Caputo type sequential fractional differential equations with nonlocal integral boundary conditions

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• 作者：Ahmed Alsaedi (1)
  Sotiris K Ntouyas (1) (2)
  Ravi P Agarwal (1) (3)
  Bashir Ahmad (1)
  
  1. Department of Mathematics ; Faculty of Science ; King Abdulaziz University ; P.O. Box 80203 ; Jeddah ; 21589 ; Saudi Arabia
  2. Department of Mathematics ; University of Ioannina ; Ioannina ; 451 10 ; Greece
  3. Department of Mathematics ; Texas A&M University-Kingsville ; Kingsville ; TX ; 78363-8202 ; USA
  
• 关键词：34A08 ; 34B15 ; fractional differential equations ; sequential fractional derivative ; integral boundary conditions ; fixed point theorems
• 刊名：Advances in Difference Equations
• 出版年：2015
• 出版时间：December 2015
• 年：2015
• 卷：2015
• 期：1
• 全文大小：1,215 KB
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• 刊物主题：Difference and Functional Equations; Mathematics, general; Analysis; Functional Analysis; Ordinary Differential Equations; Partial Differential Equations;
• 出版者：Springer International Publishing
• ISSN：1687-1847

文摘

This paper investigates a boundary value problem of Caputo type sequential fractional differential equations supplemented with nonlocal Riemann-Liouville fractional integral boundary conditions. Some existence results for the given problem are obtained via standard tools of fixed point theory and are well illustrated with the aid of examples. Some special cases are also presented.