文章基本信息

标题：Solutions to Riemann–Liouville fractional integrodifferential equations via fractional resolvents
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作者：Shaochun Ji ; Dandan Yang
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2019
卷号：2019
期号：1
页码：1-17
DOI：10.1186/s13662-019-2463-z
出版社：Hindawi Publishing Corporation
摘要：This paper is concerned with the semilinear fractional integrodifferential system with Riemann–Liouville fractional derivative. Firstly, we introduce the suitable $C_{1- lpha }$-solution to Riemann–Liouville fractional integrodifferential equations in the new frame of fractional resolvents. Some properties of fractional resolvents are given. Then we discuss the sufficient conditions for the existence of solutions without the Lipschitz assumptions to nonlinear item. Finally, an example on fractional partial differential equations is presented to illustrate our abstract results.
关键词：Fractional resolvents ; Riemann–Liouville fractional derivative ; Integrodifferential equations ; Fixed point theorems ;