The existence of an extremal solution to a nonlinear system with the right-handed Riemann-Liouville fractional derivative

Lihong Zhang; Bashir Ahmad; Guotao Wang

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The existence of an extremal solution to a nonlinear system with the right-handed Riemann-Liouville fractional derivative

机译：右手Riemann-Liouville分数阶导数的非线性系统极值解的存在

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摘要

A monotone iterative method is applied to show the existence of an extremal solution for a nonlinear system involving the right-handed Riemann-Liouville fractional derivative with nonlocal coupled integral boundary conditions. Two comparison results are established. As an application, an example is presented to demonstrate the efficacy of the main result.

机译：应用单调迭代方法来显示非线性系统的极值解的存在性，该系统涉及带有非局部耦合积分边界条件的右手Riemann-Liouville分数阶导数。建立了两个比较结果。作为一个应用，提出了一个例子来证明主要结果的有效性。

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《Applied mathematics letters》 |2014年第null期|共6页
作者
Lihong Zhang; Bashir Ahmad; Guotao Wang;
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原文格式 PDF
正文语种 eng
中图分类应用数学;
关键词
Fractional differential system; Right-handed R-L fractional derivative; Nonlocal coupled integral boundary condition; Monotone iterative technique; Extremal solution;

机译：分数阶微分系统;右手R-L分数微分;非局部耦合积分边界条件;单调迭代技术;极值解;

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专利

1. The existence of an extremal solution to a nonlinear system with the right-handed Riemann-Liouville fractional derivative [J] . Lihong Zhang, Bashir Ahmad, Guotao Wang Applied mathematics letters . 2014,第Null期

机译：右手Riemann-Liouville分数阶导数的非线性系统极值解的存在
2. EXISTENCE OF OPTIMAL SOLUTIONS TO LAGRANGE PROBLEM FOR A FRACTIONAL NONLINEAR CONTROL SYSTEM WITH RIEMANN-LIOUVILLE DERIVATIVE [J] . Idczak Dariusz, Kamocki Rafal Mathematical control and related fields . 2017,第3期

机译：瑞米南 - Liouville衍生物分数非线性控制系统的Lagrange问题最优解的存在
3. Existence of solutions for nonlinear fractional q-difference equations with Riemann-Liouville type q-derivatives [J] . Min Jiang, Shouming Zhong Journal of Applied Mathematics and Computing . 2015,第1a2期

机译：具有Riemann-Liouville型q导数的非线性分数阶q-差分方程解的存在性
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. The Existence of Solutions for a Nonlinear, Fractional Self-Adjoint Difference Equation. [D] . Ahrendt, Kevin. 2017

机译：非线性分数阶自伴随差分方程解的存在性。
6. Existence and asymptotic behavior of solutions for nonlinear Schrödinger-Poisson systems with steep potential well [O] . Miao Du, a), Lixin Tian, -1

机译：具有陡势阱的非线性Schrödinger-Poisson系统解的存在性和渐近性
7. Existence results for nonlinear fractional differential equations involving different Riemann-Liouville fractional derivatives [O] . Guotao Wang, Sanyang Liu, Dumitru Baleanu, 2013

机译：涉及不同Riemann-Liouville分数阶导数的非线性分数阶微分方程的存在性结果

The existence of an extremal solution to a nonlinear system with the right-handed Riemann-Liouville fractional derivative

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