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

Advances in Difference Equations

Sotiris K Ntouyas¹  Bashir Ahmad¹  Ahmed Alsaedi¹  Ravi P Agarwal² 

[1] Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah, Saudi Arabia;Department of Mathematics, University of Ioannina, Ioannina, Greece

关键词: fractional differential equations;    sequential fractional derivative;    integral boundary conditions;    fixed point theorems;    34A08;    34B15;   

DOI  :  10.1186/s13662-015-0379-9

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

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.

【 授权许可】

CC BY