Discrete fractional Bihari inequality and uniqueness theorem of solutions of nabla fractional difference equations with non-Lipschitz nonlinearities

Wang Mei; Jia Baoguo; Chen Churong; Zhu Xiaojuan; Du Feifei

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Discrete fractional Bihari inequality and uniqueness theorem of solutions of nabla fractional difference equations with non-Lipschitz nonlinearities

机译：非Lipschitz非线性Nabla Fractional差分方程解的离散分数比例不等式和唯一性定理

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摘要

In this paper, the discrete fractional Bihari inequality is developed. Based on this inequality, uniqueness theorem of solutions of fractional difference equations with non-Lipschitz nonlinearities is derived. In addition, the effectiveness of proposed results is illustrated by a nonlinear numerical example. (C) 2020 Elsevier Inc. All rights reserved.

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《Applied mathematics and computation》 |2020年第1期|共10页
作者
Wang Mei; Jia Baoguo; Chen Churong; Zhu Xiaojuan; Du Feifei;
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作者单位

Sun Yat Sen Univ Sch Math Guangzhou 510275 Guangdong Peoples R China;

Sun Yat Sen Univ Sch Math Guangzhou 510275 Guangdong Peoples R China;

Sun Yat Sen Univ Sch Math Guangzhou 510275 Guangdong Peoples R China;

Sun Yat Sen Univ Sch Math Guangzhou 510275 Guangdong Peoples R China;

Shanghai Jiao Tong Univ Dept Automat Shanghai 200240 Peoples R China;

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正文语种 eng
中图分类数值分析;
关键词
Discrete fractional Bihari inequality; Uniqueness; Fractional difference equation;

机译：离散分数比哈里人不等式;唯一性;分数差分方程;

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专利

1. Discrete fractional Bihari inequality and uniqueness theorem of solutions of nabla fractional difference equations with non-Lipschitz nonlinearities [J] . Wang Mei, Jia Baoguo, Chen Churong, Applied mathematics and computation . 2020,第1期

机译：非Lipschitz非线性Nabla Fractional差分方程解的离散分数比例不等式和唯一性定理
2. EXISTENCE AND UNIQUENESS OF SOLUTIONS OF NABLA FRACTIONAL DIFFERENCE EQUATIONS [J] . Mert Raziye, Peterson Allan, Abdeljawad Thabet, Dynamic Systems and Applications . 2019,第1期

机译：纳布拉分数差分方程解的存在唯一性
3. Solutions of fractional nabla difference equations - existence and uniqueness [J] . Jagan Mohan Jonnalagadda Opuscula Mathematica . 2016,第2期

机译：分数阶Nabla差分方程的解-存在性和唯一性
4. Fixed point theorems for a class of nonlinear sum-type operators and its application to fractional q-difference equations* [C] . Xiaoxia Yang, Lingling Zhang International Conference on Industrial Artificial Intelligence . 2020

机译：一类非线性和型运算符及其在分数Q差分方程的应用程序的定点定理*
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 Uniqueness Theorems for Impulsive Fractional Differential Equations with the Two-Point and Integral Boundary Conditions [O] . M. J. Mardanov, N. I. Mahmudov, Y. A. Sharifov -1

机译：具有两点和积分边界条件的脉冲分数阶微分方程的存在性和唯一性定理
7. Solutions of fractional nabla difference equations - existence and uniqueness [O] . Jagan Mohan Jonnalagadda 2016

机译：分数nabla差分方程的解 - 存在性和唯一性

Discrete fractional Bihari inequality and uniqueness theorem of solutions of nabla fractional difference equations with non-Lipschitz nonlinearities

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