Nonoscillatory Solutions of Higher-Order Fractional Differential Equations

被引:3
作者
Bohner, Martin [1 ]
Grace, Said R. [2 ]
Jadlovska, Irena [3 ]
Kilic, Nurten [4 ]
机构
[1] Missouri S&T, Rolla, MO 65409 USA
[2] Cairo Univ, Cairo, Egypt
[3] Slovak Acad Sci, Kosice 04200, Slovakia
[4] Dumlupinar Univ, TR-43100 Kutahya, Turkey
关键词
Fractional differential equations; integro-differential equations; nonoscillatory solutions; boundedness; Caputo derivative; ASYMPTOTIC-BEHAVIOR; INTEGRAL-INEQUALITIES; BOUNDEDNESS; OSCILLATION;
D O I
10.1007/s00009-022-02047-w
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
This paper deals with the asymptotic behavior of the nonoscillatory solutions of a certain forced fractional differential equations with positive and negative terms, involving the Caputo fractional derivative. The results obtained are new and generalize some known results appearing in the literature. Two examples are also provided to illustrate the results.
引用
收藏
页数:14
相关论文
共 29 条
[21]   Asymptotic Integration of Fractional Differential Equations with Integrodifferential Right-Hand Side [J].
Medved', Milan ;
Pospissil, Michal .
MATHEMATICAL MODELLING AND ANALYSIS, 2015, 20 (04) :471-489
[22]   ASYMPTOTIC INTEGRATION OF SOME CLASSES OF FRACTIONAL DIFFERENTIAL EQUATIONS [J].
Medved, Milan .
DIFFERENTIAL AND DIFFERENCE EQUATIONS AND APPLICATIONS 2012, 2013, 54 :119-132
[23]   Sufficient and necessary conditions for oscillation of linear fractional-order delay differential equations [J].
Meng, Qiong ;
Jin, Zhen ;
Liu, Guirong .
ADVANCES IN DIFFERENCE EQUATIONS, 2021, 2021 (01)
[24]  
Miller K. S., 1993, An Introduction to the Fractional Calculus and Fractional Differential Equations
[25]  
Podlubny I., 1999, MATH SCI ENG
[26]  
Saker SH., 2020, ANN U MARIA CURIE, V74, P61
[27]  
Tunç C, 2018, BULL COMPUT APPL MAT, V6, P41
[28]  
Uzun TY., 2019, KONURALP J MATH KJM, V7, P203
[29]  
Zeng Wenjun, 2021, Journal of Zhejiang University (Science Edition), V48, P35, DOI 10.3785/j.issn.1008-9497.2021.01.005