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arXiv · 1507.08540

Existence of mild solutions for Riemann-Liouville fractional differential equations with nonlocal conditions

Zhan-Dong Mei·Ji-Gen Peng
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Abstract

In this paper, we are concerned with the mild solutions of Riemann-Liouville fractional differential equations with nonlocal conditions in Banach space. We use Banach contraction principle to prove the existence and uniqueness. Moreover, we derive the existence by using Krasnoselkii's theorem. An illustrative example is presented.

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Zhan-Dong Mei, Ji-Gen Peng. 2015-07-24. Existence of mild solutions for Riemann-Liouville fractional differential equations with nonlocal conditions. https://arxiv.org/abs/1507.08540

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