含有变量阶导数及一个参数的非线性分数阶微分方程初值问题

数学物理学报 ›› 2018, Vol. 38 ›› Issue (2): 291-303.

含有变量阶导数及一个参数的非线性分数阶微分方程初值问题

张淑琴¹, 胡雷²

1. 中国矿业大学(北京) 理学院北京 100083;
2. 山东交通学院理学院济南 250357

收稿日期:2016-08-12 修回日期:2017-06-27 出版日期:2018-04-26 发布日期:2018-04-26
作者简介:张淑琴,E-mail:zsqjk@163.com;胡雷,E-mail:huleimath@163.com
基金资助:
国家自然科学基金（11371364，11671181）

Initial Value Problem for Nonlinear Fractional Differential Equations with Variable-order Derivative and a Parameter

Zhang Shuqin¹, Hu Lei²

1. Department of Mathematics, China University of Mining & Technology, Beijing 100083;
2. School of Science, Shandong Jiaotong University, Jinan 250357

Received:2016-08-12 Revised:2017-06-27 Online:2018-04-26 Published:2018-04-26
Supported by:
Supported by the NSFC (11371364, 11671181)

摘要/Abstract

摘要： 该文利用Schauder不动点定理研究了含有变量阶导数的非线性分数阶微分方程初值问题解的存在性.

关键词: 变量阶导数与积分, 初值问题, 存在性, 不动点定理

Abstract: In this work, we study the existence result of solution to an initial value problem for a differential equation involving with variable-order derivative. Our analysis relies on the Schauder fixed-point theorem and some analysis technique.

Key words: Derivatives and integrals of variable-order, Initial value problem, Existence of solution, Fixed-point theorem

中图分类号:

O175.8

张淑琴, 胡雷. 含有变量阶导数及一个参数的非线性分数阶微分方程初值问题[J]. 数学物理学报, 2018, 38(2): 291-303.

Zhang Shuqin, Hu Lei. Initial Value Problem for Nonlinear Fractional Differential Equations with Variable-order Derivative and a Parameter[J]. Acta mathematica scientia,Series A, 2018, 38(2): 291-303.

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