Existence and stability for partial functional integro-differential equations of fractional order with multiple time delay

Said Abbas; Mouffak Benchohra

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Existence and stability for partial functional integro-differential equations of fractional order with multiple time delay

机译：具有多个时滞的分数阶偏泛函积分微分方程的存在性和稳定性

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摘要

In the present article we investigate the existence, uniqueness and the stability of solutions for some systems of partial integro-differential equations of fractional order in Banach and Fréchet spaces. Our techniques are based on some fixed point theorems.

机译：在本文中，我们研究了Banach和Fréchet空间中某些分数阶偏微分方程组的解的存在性，唯一性和稳定性。我们的技术基于一些不动点定理。

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来源
《Nonlinear studies》 |2013年第2期|共14页
作者
Said Abbas; Mouffak Benchohra;
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正文语种 eng
中图分类高等数学;
关键词
Partial integro-differential equation; left-sided mixed Riemann-Liouville integral; Caputo fractional-order derivative; solution; Banach space; Fréchet space; stability; fixed point;

机译：偏微分方程;左侧混合Riemann-Liouville积分;Caputo分数阶导数;解;Banach空间;Fréchet空间;稳定性;不动点;

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专利

1. Existence and stability for partial functional integro-differential equations of fractional order with multiple time delay [J] . Said Abbas, Mouffak Benchohra Nonlinear studies . 2013,第2期

机译：具有多个时滞的分数阶偏泛函积分微分方程的存在性和稳定性
2. Existence of an optimal control for fractional stochastic partial neutral integro-differential equations with infinite delay [J] . F. Lu, Z. Yan The Journal of Nonlinear Sciences and its Applications . 2015,第5期

机译：无限时滞分数阶随机中立积分微分方程最优控制的存在
3. A fast numerical method for fractional partial integro-differential equations with spatial-time delays [J] . Ersin Asian, OEmuer Kivanc Kuerkcue, Mehmet Sezer Applied numerical mathematics . 2021,第Mara期

机译：具有空间延迟的分数局部积分微分方程的快速数值方法
4. Existence and Controllability Results of Impulsive Fractional Neutral Integro-differential Equation with Sectorial Operator and Infinite Delay [C] . D.N. Chalishajar, K. Malar, R. Ilavarasi International Conference on New Trends in the Applications of Differential Equations in Sciences . 2019

机译：扇形算子脉冲分数中立积分 - 微分方程的存在和可控性结果与无限延迟
5. Time-changed Stochastic Processes and Associated Fractional Order Partial Differential Equations. [D] . Kobayashi, Kei. 2011

机译：时变随机过程和分数阶偏微分方程。
6. Exponential stability for neutral stochastic functional partial differential equations driven by Brownian motion and fractional Brownian motion [O] . Xinwen Zhang, Dehao Ruan -1

机译：由布朗运动和分数布朗运动驱动的中立型随机泛函偏微分方程的指数稳定性。
7. Existence results of solutions for some fractional neutral functional integro-differential equations with infinite delay [O] . Kazem Nouri, Marjan Nazari, Bagher Keramati 2017

机译：具有无限延迟的一些分数中性功能积分微分方程的解决方案的存在结果

Existence and stability for partial functional integro-differential equations of fractional order with multiple time delay

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