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arXiv 1912.03323math.FAmath.AP
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分数阶分数阶混合微分方程理论的存在性结果

Existence results in the theory of fractional hybrid di erential equations of fractional orders

Sh. M Al-Issa

摘要:

本文研究混合分数阶积分微分方程初值问题的存在性结果。我们的研究是基于Dhage混合不动点定理。建立了一些基本的分数阶微分不等式,并利用它们证明了极值解的存在性。考虑了必要的工具,证明了比较原理,这将有助于进一步研究解的定性行为。

英文摘要:

In this paper, we study existence results for initial value problems for hybrid fractional integro-differential equations. Our investigation is based on the Dhage hybrid fixed point theorem. Some fundamental fractional differential inequalities are also established which are utilized to prove the existence of extremal solutions. Necessary tools are considered and the comparison principle is proved which will be useful for further study of qualitative behavior of solutions.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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