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Existence of solutions for fractional order impulsive differential equations with integral boundary conditions
The International Journal of Electrical Engineering & Education ( IF 0.941 ) Pub Date : 2021-03-24 , DOI: 10.1177/00207209211002085
Rui Gao 1
Affiliation  

In this paper, we prove the expression and the existence of a class of nonlinear impulsive fractional order differential equations with integral boundary conditions. The unique solution of the differential equations by Green’s function is given. By using Schauder fixed point theorem and Leray-Schauder fixed point theorem, several sufficient conditions for the existence and uniqueness results are established.



中文翻译:

积分边界条件分数阶脉冲微分方程解的存在性

在本文中,我们证明了一类具有积分边界条件的非线性脉冲分数阶微分方程的表达式和存在性。通过格林函数给出了微分方程的唯一解。通过使用Schauder不动点定理和Leray-Schauder不动点定理,为存在性和唯一性结果建立了几个充分的条件。

更新日期:2021-03-24
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