米塔格-莱夫勒幂律下的脉冲问题研究
Study of impulsive problems under Mittag-Leffler power law.
作者信息
Abdo Mohammed S, Abdeljawad Thabet, Shah Kamal, Jarad Fahd
机构信息
Department of Mathematics, Hodeidah University, Al-Hodeidah, Yemen.
Department of Mathematics and General Sciences, Prince Sultan University, Riyadh, Saudi Arabia.
出版信息
Heliyon. 2020 Oct 2;6(10):e05109. doi: 10.1016/j.heliyon.2020.e05109. eCollection 2020 Oct.
This article is fundamentally concerned with deriving the solution formula, existence, and uniqueness of solutions of two types of Cauchy problems for impulsive fractional differential equations involving Atangana-Baleanu-Caputo (ABC) fractional derivative which possesses nonsingular Mittag-Leffler kernel. Our investigation is based on nonlinear functional analysis and some fixed point techniques. Besides, some examples are given delineated to illustrate the effectiveness of our outcome.
本文主要关注推导两类涉及具有非奇异米塔格 - 莱夫勒核的阿坦加纳 - 巴莱努 - 卡普托（ABC）分数阶导数的脉冲分数阶微分方程柯西问题的解公式、解的存在性和唯一性。我们的研究基于非线性泛函分析和一些不动点技术。此外，还给出了一些例子来说明我们结果的有效性。
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