一类katugampola型分数阶微分方程耦合系统的初值问题

Q4 Mathematics

Advances in Dynamical Systems and Applications Pub Date : 2019-06-02 DOI:10.37622/adsa/14.1.2019.29-47

Y. Arioua

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引用次数: 0

摘要

本文的目的是研究一类具有卡图甘波拉导数的非线性分数阶微分方程耦合系统的初值问题。利用Banach收缩原理、Schauder不动点定理和非线性交替Leray-Schauder不动点定理，得到了给定问题解的一些新的存在唯一性结果。给出了几个例子来说明我们的主要结果的有用性。AMS学科分类:34A08, 34A12。

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Initial Value Problem for a Coupled System of Katugampola-Type Fractional Differential Equations

The aim of this work is to study the initial value problem of a coupled system of nonlinear fractional differential equations with Katugampola derivative. Some new existence and uniqueness results of solutions for the given problems are obtained by using the Banach contraction principle, Schauder’s and nonlinear alternative Leray–Schauder fixed point theorems. Several examples are presented to illustrate the usefulness of our main results. AMS Subject Classifications: 34A08, 34A12.

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来源期刊

Advances in Dynamical Systems and Applications Mathematics-Analysis

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0.30

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0.00%

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