On fractional differential equations and inclusions with nonlocal and average-valued (integral) boundary conditions
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- 作者：Bashir Ahmad ; Sotiris K Ntouyas ; Ravi P Agarwal…
- 关键词：Caputo fractional derivative ; equations ; inclusions ; nonlocal and integral boundary conditions ; fixed point
- 刊名：Advances in Difference Equations
- 出版年：2016
- 出版时间：December 2016
- 年：2016
- 卷：2016
- 期：1
- 全文大小：1,664 KB
- 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 is concerned with the existence of solutions for boundary value problems of fractional differential equations and inclusions supplemented with nonlocal and average-valued (integral) boundary conditions. The existence results for the single-valued case (equations) are obtained by means of fixed point theorems due to O’Regan and Sadovski, whereas the existence of solutions for the multivalued case (inclusions) is established via nonlinear alternative for contractive maps. The obtained results are well illustrated by examples.