On Initial Value Problems for Caputo-Hadamard Fractional Differential Inclusions with Nonlocal Multi-Point Conditions in Banach Spaces

Nassim Guerraiche; Samira Hamani

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On Initial Value Problems for Caputo-Hadamard Fractional Differential Inclusions with Nonlocal Multi-Point Conditions in Banach Spaces

机译：关于Banach空间中的非函数多点条件的Caputo-Hadamard分数差分夹杂物的初始价值问题

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In this paper, we are concerned to prove the existence of solutions to an initial value problem for Caputo–Hadamard fractional differential inclusion in a Banach space.For this, we use the set-valued analog of Monch’s fixed point theorem ¨ combined with the technique of measure of noncompactness.Also, we present an example to illustrate our main results.

机译：在本文中，我们致力于证明在Banach空间中的Caputo-Hadamard分数差分夹杂物的初始价值问题的解决方案存在。这一点，我们使用Monch的定点定理的设定值模拟¨结合该技术衡量非兼容性.A，我们提出了一个例子来说明我们的主要结果。

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《International Journal of Difference Equations》 |2020年第2期|共16页
作者
Nassim Guerraiche; Samira Hamani;
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中图分类微分方程、积分方程;
关键词
Existencefractional differential inclusionsCaputo–Hadamard type derivativefixed pointsmeasure of noncompactness.;

机译：存在的差异差异夹杂物达到衍生的非兼容性衍生物的非兼容度。;

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1. Solutions to Fractional Differential Equations with Nonlocal Initial Condition in Banach Spaces [J] . Zhi-Wei Lv, Jin Liang, Ti-Jun Xiao Advances in Difference Equations . 2010,第1期

机译：Banach空间中具有非局部初始条件的分数阶微分方程的解
2. Solutions to Fractional Differential Equations with Nonlocal Initial Condition in Banach Spaces [J] . Zhi-Wei Lv, Jin Liang, Ti-Jun Xiao Advances in Difference Equations . 2010,第1期

机译：Banach空间中具有非局部初始条件的分数阶微分方程的解
3. Nonlocal impulsive fractional differential inclusions with fractional sectorial operators on Banach spaces [J] . Wang JinRong, Ibrahim Ahmed Gamal, Feckan Michal Applied mathematics and computation . 2015,第Null期

机译：Banach空间上带有局部扇形算子的非局部脉冲分数阶微分包含
4. Controllability of nonlocal boundary conditions for impulsive differential systems of mixed type in banach spaces [C] . Qin Haiyong, Zuo Xin IEEE International Conference on Control and Automation . 2013

机译：Banach空间混合型脉冲微分系统非局部边界条件的可控性
5. Multistep linear methods for integro -differential equations of fractional order in Banach spaces [D] . Cuesta Montero, Eduardo. 2001

机译：Banach空间中分数阶积分微分方程的多步线性方法
6. Existence Results for Differential Inclusions with Nonlinear Growth Conditions in Banach Spaces [O] . Messaoud Bounkhel 2013

机译：Banach空间中具有非线性增长条件的微分包含的存在性结果
7. Solutions to Fractional Differential Equations with Nonlocal Initial Condition in Banach Spaces [O] . Zhi-Wei Lv, Jin Liang, Ti-Jun Xiao 2010

机译：Banach空间中具有非局部初始条件的分数阶微分方程的解

On Initial Value Problems for Caputo-Hadamard Fractional Differential Inclusions with Nonlocal Multi-Point Conditions in Banach Spaces

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