A nonlocal multi-point multi-term fractional boundary value problem with Riemann-Liouville type integral boundary conditions involving two indices

Advances in Difference Equations

Ravi P Agarwal¹  Ahmed Alsaedi¹  Bashir Ahmad²  Sotiris K Ntouyas³ 

[1] Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah, Saudi Arabia;Department of Mathematics, Texas A&Department of Mathematics, University of Ioannina, Ioannina, Greece;M University, Kingsville, USA

关键词: fractional differential equations;    nonlocal boundary conditions;    fixed point theorems;   

DOI  :  10.1186/1687-1847-2013-369

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, we study the existence of solutions for fractional differential equations of arbitrary order with multi-point multi-term Riemann-Liouville type integral boundary conditions involving two indices. The Riemann-Liouville type integral boundary conditions considered in the problem address a more general situation in contrast to the case of a single index. Our results are based on standard fixed point theorems. Some illustrative examples are also presented. MSC:26A33, 34A08.

【 授权许可】

CC BY