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一类推广的非线性Hilfer分数阶时滞微分方程解的存在性

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研究一类推广的非线性Hilfer分数阶时滞微分方程初值问题解的存在性,分别利用Banach不动点定理和Schauder不动点定理,获得该初值问题解的存在性的2个充分性定理.
Existence of Solution of a Class of Generalized Nonlinear Hilfer Fractional-order Delayed Differential Equation
In this paper,the existence of inital value problems for a class of generalized nonlinear Hilfer fractional-order delay differential equations was studied.Based on Banach fixed point theorem and Schauder fixed point theorem respectively,two sufficient theorems for the existence of the IVP were derived.

Hilfer fractional derivativedelayed differential equationBanach fixed point theoremSchauder fixed point theorem

胡伟、周先锋、常志顺

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安徽大学 数学科学学院,安徽合肥 230601

Hilfer分数阶导数 时滞微分方程 Banach不动点定理 Schauder不动点定理

国家自然科学基金项目安徽大学创新项目

11471015X202210357008

2024

淮北师范大学学报(自然科学版)
淮北师范大学

淮北师范大学学报(自然科学版)

影响因子:0.222
ISSN:2095-0691
年,卷(期):2024.45(1)
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