A remark on psi-Hilfer fractional differential equations with non-instantaneous impulses

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A remark on psi-Hilfer fractional differential equations with non-instantaneous impulses

机译：具有非瞬时冲动的PSI-HILFER分数微分方程的评论

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摘要

We present a reasonable concept for solutions of non-instantaneous impulsive Cauchy problems with a psi-Hilfer fractional derivative. Also, we provide a new sufficient condition for the existence, uniqueness, and stability of solutions for the given problem.

机译：我们为Psi-hilfer分数衍生物提供了一个合理的非瞬时冲动的Cauchy问题的概念。此外，我们为特定问题提供了一种新的充分性，唯一性和解决方案的稳定性。

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《Mathematical Methods in the Applied Sciences》 |2020年第6期|共15页
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正文语种 eng
中图分类数学;
关键词
psi-Hilfer fractional derivative; counter-example; non-instantaneous impulsive problem;

机译：psi-hilfer分数衍生物;反例;非瞬时脉冲问题;

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1. A remark on psi-Hilfer fractional differential equations with non-instantaneous impulses [J] . Mathematical Methods in the Applied Sciences . 2020,第6期

机译：具有非瞬时冲动的PSI-HILFER分数微分方程的评论
2. A new method for searching the integral solution of system of Riemann-Liouville fractional differential equations with non-instantaneous impulses [J] . Zhang Xian-Min Journal of Computational and Applied Mathematics . 2021,第1期

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3. Variational approach to p-Laplacian fractional differential equations with instantaneous and non-instantaneous impulses [J] . Zhou Jianwen, Deng Yumei, Wang Yanning Applied mathematics letters . 2020,第期

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4. Existence Results for Riemann-Liouville Fractional Differential Equations with Non-instantaneous Impulses (Fractional Derivative with Fixed Lower Bound at the Initial Time) [C] . Snezhana Hristova, Krasimira Ivanova International Conference on New Trends in the Applications of Differential Equations in Sciences . 2019

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5. Malliavin calculus for backward stochastic differential equations and stochastic differential equations driven by fractional Brownian motion and numerical schemes. [D] . Song, Xiaoming. 2011

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6. Analytical Solutions for Multi-Time Scale Fractional Stochastic Differential Equations Driven by Fractional Brownian Motion and Their Applications [O] . Xiao-Li Ding, Juan J. Nieto 2018

机译：分数褐色运动及其应用驱动的多时间尺度分数随机微分方程的分析解
7. Explicit solutions and finite time stability of linear Riemann-Liouville fractional differential equations with a constant delay and non-instantaneous impulses [O] . Snezhana Hristova, Todor Kostadinov, Krasimira Ivanova 2021

机译：具有恒定延迟和非瞬时脉冲的线性Riemann-Liouville分数微分方程的显式解决方案和有限时间稳定性

A remark on psi-Hilfer fractional differential equations with non-instantaneous impulses

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