On Higher-Order Nonlinear Fractional Elastic Equations with Dependence on Lower Order Derivatives in Nonlinearity

被引：0
|
作者：
Cui, Yujun [1 ]
Liang, Chunyu [1 ]
Zou, Yumei [1 ]
机构：
[1] Shandong Univ Sci & Technol, Coll Math & Syst Sci, Qingdao 266590, Peoples R China
来源：
FRACTAL AND FRACTIONAL | 2024年 / 8卷 / 07期
基金：
中国国家自然科学基金;
关键词：
Leray-Schauder alternative theorem; Perov's fixed point theorem; existence and uniqueness of solutions; Riemann-Liouville fractional derivatives; BOUNDARY-VALUE PROBLEM; POSITIVE SOLUTIONS; EXISTENCE;
D O I：
10.3390/fractalfract8070398
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The paper studied high-order nonlinear fractional elastic equations that depend on low-order derivatives in nonlinearity and established the existence and uniqueness results by using the Leray-Schauder alternative theorem and Perov's fixed point theorem on an appropriate space under mild assumptions. Examples are given to illustrate the key results.
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页数：16
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