New Multiplicity Results for a Boundary Value Problem Involving a ψ-Caputo Fractional Derivative of a Function with Respect to Another Function

被引：0

作者：

Li, Yankai ^{[1
]}

Li, Dongping ^{[2
]}

Chen, Fangqi ^{[3
]}

Liu, Xiangjing ^{[2
]}

机构：

[1] Xian Univ Technol, Sch Automat & Informat Engn, Xian 710048, Peoples R China

[2] Xian Technol Univ, Sch Sci, Xian 710021, Peoples R China

[3] Nanjing Univ Aeronaut & Astronaut, Dept Math, Nanjing 211106, Peoples R China

来源：

FRACTAL AND FRACTIONAL | 2024年 / 8卷 / 06期

基金：

中国国家自然科学基金;

关键词：

critical point theory; differential equation; psi-Caputo fractional operator; infinitely many solutions; DIFFERENTIAL-EQUATIONS;

D O I：

10.3390/fractalfract8060305

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper considers a nonlinear impulsive fractional boundary value problem, which involves a psi-Caputo-type fractional derivative and integral. Combining critical point theory and fractional calculus properties, such as the semigroup laws, and relationships between the fractional integration and differentiation, new multiplicity results of infinitely many solutions are established depending on some simple algebraic conditions. Finally, examples are also presented, which show that Caputo-type fractional models can be more accurate by selecting different kernels for the fractional integral and derivative.

引用

页数：15

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