On Perturbed Fractional Differential Inclusions with Nonlocal Multi-point Erdélyi–Kober Fractional Integral Boundary Conditions
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- 作者：Bashir Ahmad ; Sotiris K. Ntouyas
- 关键词：Riemann–Liouville fractional derivative ; Erdélyi–Kober fractional integral ; fractional differential inclusions ; existence ; fixed point
- 刊名：Mediterranean Journal of Mathematics
- 出版年：2017
- 出版时间：February 2017
- 年：2017
- 卷：14
- 期：1
- 全文大小：
- 刊物类别：Mathematics and Statistics
- 刊物主题：Mathematics, general;
- 出版者：Springer International Publishing
- ISSN：1660-5454
- 卷排序：14
文摘
In this paper, by using a nonlinear alternative for a sum of compact upper semicontinuous and contractive multivalued operators, we establish sufficient conditions for the existence of solutions for perturbed fractional differential inclusions with nonlocal multi-point Erdélyi–Kober fractional integral boundary conditions. For the applicability of the main result, we include an example.