On a Fractional Integro-Differential System Involving Riemann-Liouville and Caputo Derivatives with Coupled Multi-Point Boundary Conditions

Bashir Ahmad; Ahmed Alsaedi; Sotiris K.Ntouyas; Ymnah Alruwaily

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On a Fractional Integro-Differential System Involving Riemann-Liouville and Caputo Derivatives with Coupled Multi-Point Boundary Conditions

机译：在涉及利蒙维尔和Caputo衍生物的分数积分差分系统，具有耦合多点边界条件

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We introduce a new class of coupled sequential fractional differential equations involving Riemann–Liouville and Caputo derivatives, integral and nonintegral type nonlinearities and equipped with coupled multi-point boundary conditions.Existence results for the given problem are derived by means of Leray–Schauder nonlinear alternative and Krasnosel’ski??’s fixed point theorem, while the uniqueness of solutions is established via contraction mapping principle.Examples illustrating the main results are presented.

机译：我们介绍了一种涉及riemann-liouville和Caputo衍生物，积分和非嵌入式非线性的新耦合顺序分数微分方程，并配备了耦合的多点边界条件。通过Leray-Schauder非线性替代方案来源的给定问题的结果。和krasnosel'ski ??的定点定理，而解决方案的唯一性是通过收缩映射原理建立的。提出了说明主要结果的例子。

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《International Journal of Difference Equations》 |2020年第2期|共33页
作者
Bashir Ahmad; Ahmed Alsaedi; Sotiris K.Ntouyas; Ymnah Alruwaily;
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中图分类微分方程、积分方程;
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26A3334B15;

机译：8月26日4日15;

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1. Existence results for a coupled system of Caputo type fractional integro-differential equations with multi-point and sub-strip boundary conditions [J] . Alsaedi Ahmed, Albideewi Amjad F., Ntouyas Sotiris K., Advances in Difference Equations . 2021,第a期

机译：具有多点和子条边界条件的Caputo型分数积分 - 微分方程的耦合系统的存在结果
2. Analysis of Boundary value problem with multi-point conditions involving Caputo-Hadamard fractional derivative [J] . Subramanian Muthaiah, Nandha Gopal Thangaraj Proyecciones (Antofagasta) . 2020,第6期

机译：涉及Caputo-Hadamard分数衍生的多点条件的边值问题分析
3. On nonlinear fractional-order boundary value problems with nonlocal multi-point conditions involving Liouville-Caputo derivative [J] . Ravi P. Agarwal, Ahmed Alsaedi, Alaa Alsharif, Differential Equations Applications . 2017,第2期

机译：涉及Liouville-Caputo导数的具有非局部多点条件的非线性分数阶边值问题
4. Existence of Solutions for Fractional Langevin Equation Involving Generalized Caputo Derivative with Periodic Boundary Conditions [C] . Amita Devi, Anoop Kumar International Conference on Recent Advances in Mathematics Sciences and its Applications . 2020

机译：具有周期边界条件的广义Caputo衍生物的分数Langevin方程解决方案存在
5. Caputo Nabla Fractional Boundary Value Problems and Integral Inequalities on Time Scales [D] . Hu, Wei 2019

机译：Caputo Nabla分数阶边值问题和时间尺度上的积分不等式
6. Lyapunov-type inequalities for an anti-periodic fractional boundary value problem involving ψ-Caputo fractional derivative [O] . Bessem Samet, Hassen Aydi -1

机译：ψ-Caputo分数阶导数的反周期分数边值问题的Lyapunov型不等式
7. Existence results for a coupled system of Caputo type fractional integro-differential equations with multi-point and sub-strip boundary conditions [O] . Ahmed Alsaedi, Amjad F. Albideewi, Sotiris K. Ntouyas, 2021

机译：具有多点和子条边界条件的Caputo型分数积分 - 微分方程的耦合系统的存在结果

On a Fractional Integro-Differential System Involving Riemann-Liouville and Caputo Derivatives with Coupled Multi-Point Boundary Conditions

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