Existence Results for a Nonlocal Coupled System of Sequential Fractional Differential Equations Involving -Hilfer Fractional Derivatives

Athasit Wongcharoen; Sotiris K. Ntouyas; Phollakrit Wongsantisuk; Jessada Tariboon

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Existence Results for a Nonlocal Coupled System of Sequential Fractional Differential Equations Involving -Hilfer Fractional Derivatives

机译：涉及涉及 - 涉及的序列分数衍生物的连续分数差分方程的非识别耦合系统的存在结果

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In this article, we discuss the existence and uniqueness of solutions for a new class of coupled system of sequential fractional differential equations involving - Hilfer fractional derivatives, supplemented with multipoint boundary conditions. We make use of Banach’s fixed point theorem to obtain the uniqueness result and the Leray-Schauder alternative to obtain the existence result. Examples illustrating the main results are also constructed.

机译：在本文中，我们讨论了涉及 - Hilfer分数衍生物的顺序分数微分方程的新类耦合系统的解决方案存在和唯一性，补充有多点边界条件。我们利用Banach的定期定理来获得唯一性结果和Leray-Schauder替代品以获得存在结果。说明主要结果的实例也构造。

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《Advances in Mathematical Physics》 |2021年第a期|共9页
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Athasit Wongcharoen; Sotiris K. Ntouyas; Phollakrit Wongsantisuk; Jessada Tariboon;
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1. EXISTENCE AND STABILITY RESULTS TO A CLASS OF FRACTIONAL RANDOM IMPLICIT DIFFERENTIAL EQUATIONS INVOLVING A GENERALIZED HILFER FRACTIONAL DERIVATIVE [J] . FAHD JARAD, SUGUMARAN HARIKRISHNAN, KAMAL SHAH, Discrete and continuous dynamical systems▼hSeries S . 2020,第3期

机译：存在和稳定性导致一类小数随机隐式微分方程，涉及广义的Hilfer分数衍生物
2. Existence theory of fractional coupled differential equations via Ψ-Hilfer fractional derivative [J] . SugumaranHarikrishnan, KamalShah, KuppusamyKanagarajan Random operators and stochastic equations . 2019,第4期

机译：通过ψ-hilfer分数衍生分流耦合微分方程的存在理论
3. Nonlinear sequential fractional differential equations with nonlocal boundary conditions involving lower-order fractional derivatives [J] . MS Alhothuali, Ahmed Alsaedi, Bashir Ahmad, Advances in Difference Equations . 2017,第1期

机译：具有非局部边界条件且涉及低阶分数导数的非线性顺序分数阶微分方程
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

机译：具有非瞬时脉冲的Riemann-Liouville分数微分方程的存在结果（在初始时间固定下限的分数衍生物）
5. Fractional derivatives, fractional differential equations, and their numerical approximation [D] . Hatcher, Christopher 2013

机译：分数阶导数，分数阶微分方程及其数值逼近
6. Existence Results for a System of Coupled Hybrid Fractional Differential Equations [O] . Bashir Ahmad, Sotiris K. Ntouyas, Ahmed Alsaedi -1

机译：一类混合分数阶微分方程组的存在性结果。
7. Existence Results for a Nonlocal Coupled System of Sequential Fractional Differential Equations Involving ψ -Hilfer Fractional Derivatives [O] . Athasit Wongcharoen, Sotiris K. Ntouyas, Phollakrit Wongsantisuk, 2021

机译：涉及ψ-ilfer分数衍生物的连续分数微分方程的非识别数耦合系统的存在结果

Existence Results for a Nonlocal Coupled System of Sequential Fractional Differential Equations Involving -Hilfer Fractional Derivatives

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