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.

引用

页数：16

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