Oscillation criteria for fractional differential equations with mixed nonlinearities

被引：33

作者：

Shao, Jing ^{[1
,2
]}

Zheng, Zhaowen ^{[1
]}

Meng, Fanwei ^{[1
]}

机构：

[1] Qufu Normal Univ, Sch Math Sci, Qufu 273165, Shandong, Peoples R China

[2] Jining Univ, Dept Math, Qufu 273155, Shandong, Peoples R China

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2013年

关键词：

oscillation; fractional differential equation; Riemann-Liouville; Caputo; mixed nonlinearity;

D O I：

10.1186/1687-1847-2013-323

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Using the integral transformation and inequalities technique, new oscillation criteria are established for fractional differential equations with mixed nonlinearities involving Riemann-Liouville and Caputo fractional derivatives, which generalize and improve some recent results in literature.

引用

页数：9

共 50 条

[21] Oscillation criteria for fractional differential equations with a distributed delay
Uzun, Tugba Yalcin
Ozturk, Sermin
SOFT COMPUTING, 2023, 27 (13) : 8517 - 8523
[22] Oscillation criteria of certain fractional partial differential equations
Di Xu
Fanwei Meng
Advances in Difference Equations, 2019
[23] Oscillation criteria of certain fractional partial differential equations
Xu, Di
Meng, Fanwei
ADVANCES IN DIFFERENCE EQUATIONS, 2019, 2019 (01)
[24] Oscillation criteria for a class of fractional delay differential equations
Pengxian Zhu
Qiaomin Xiang
Advances in Difference Equations, 2018
[25] Oscillation criteria for fractional differential equations with a distributed delay
Tuğba Yalçın Uzun
Sermin Öztürk
Soft Computing, 2023, 27 : 8517 - 8523
[26] FORCED OSCILLATION OF SECOND ORDER DIFFERENTIAL EQUATIONS WITH MIXED NONLINEARITIES
Taher S. Hassan
Lynn Erbe
Allan Peterson
Acta Mathematica Scientia, 2011, 31 (02) : 613 - 626
[27] FORCED OSCILLATION OF SECOND ORDER DIFFERENTIAL EQUATIONS WITH MIXED NONLINEARITIES
Hassan, Taher S.
Erbe, Lynn
Peterson, Allan
ACTA MATHEMATICA SCIENTIA, 2011, 31 (02) : 613 - 626
[28] Criteria of Oscillation for Second-Order Mixed Nonlinearities in Dynamic Equations
Hassan, Taher S.
Iambor, Loredana Florentina
Muresan, Sorin
Alenzi, Khalid
Odinaev, Ismoil
Rashedi, Khudhayr A.
SYMMETRY-BASEL, 2024, 16 (09):
[29] Interval Oscillation Criteria For Conformable Fractional Differential Equations With Impulses
Chatzarakis, George E.
Logaarasi, Kandhasamy
Raja, Thangaraj
Sadhasivam, Vadivel
APPLIED MATHEMATICS E-NOTES, 2019, 19 : 354 - 369
[30] INTERVAL OSCILLATION CRITERIA FOR IMPULSIVE CONFORMABLE FRACTIONAL DIFFERENTIAL EQUATIONS
Bolat, Yasar
Raja, Thangaraj
Logaarasi, Kandhasamy
Sadhasivam, Vadivel
COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS, 2020, 69 (01): : 815 - 831

← 1 2 3 4 5 →