OSCILLATION CRITERIA FOR FRACTIONAL IMPULSIVE HYBRID PARTIAL DIFFERENTIAL EQUATIONS

被引：2

作者：

Sadhasivam, V ^{[1
]}

Deepa, M. ^{[2
]}

机构：

[1] Periyar Univ Salem, Thiruvalluvar Govt Arts Coll, Post Grad & Res Dept Math, Rasipuram 637401, Tamil Nadu, India

[2] Pavai Arts & Sci Coll Women, Dept Math, Rasipuram 637401, Tamil Nadu, India

来源：

PROBLEMY ANALIZA-ISSUES OF ANALYSIS | 2019年 / 8卷 / 02期

关键词：

Oscillation; Fractional partial differential equation; Hybrid differential equation; impulse; PARABOLIC EQUATIONS;

D O I：

10.15393/j3.art.2019.5910

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we study the oscillatory behavior of the solutions of fractional-order nonlinear impulsive hybrid partial differential equations with the mixed boundary condition. By using the integral averaging method and the Riccati technique, we have obtained the oscillation criteria of all the solutions of the given system. An example is given to illustrate our main results.

引用

页码：73 / 91

页数：19

共 33 条

[1]

[Anonymous], 2012, TOPICS FRACTIONAL DI, DOI DOI 10.1007/978-1-4614-4036-9

[2] ESTIMATES OF SOLUTIONS OF IMPULSIVE PARABOLIC EQUATIONS AND APPLICATIONS TO THE POPULATION DYNAMICS [J].

Bainov, Drumi ;

Minchev, Emil .

PUBLICACIONS MATEMATIQUES, 1996, 40 (01) :85-94

[3]

Chatzarakis G. E., 2018, DYNAM CONT DIS SER A, V25, P329

[4]

Devi JV, 2014, EUR J PURE APPL MATH, V7, P115

[5] Basic results on hybrid differential equations [J].

Dhage, Bapurao C. ;

Lakshmikantham, V. .

NONLINEAR ANALYSIS-HYBRID SYSTEMS, 2010, 4 (03) :414-424

[6] COMPARISON PRINCIPLES FOR IMPULSIVE PARABOLIC EQUATIONS WITH APPLICATIONS TO MODELS OF SINGLE SPECIES GROWTH [J].

ERBE, LH ;

FREEDMAN, HI ;

LIU, XZ ;

WU, JH .

JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES B-APPLIED MATHEMATICS, 1991, 32 :382-400

[7]

Feng QH, 2013, ELECTRON J DIFFER EQ

[8]

Ge H., 2013, ADV DIFFERENCE EQU, V211

[9] ON DELAY DIFFERENTIAL-EQUATIONS WITH IMPULSES [J].

GOPALSAMY, K ;

ZHANG, BG .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1989, 139 (01) :110-122

[10] On Fractional Order Hybrid Differential Equations [J].

Herzallah, Mohamed A. E. ;

Baleanu, Dumitru .

ABSTRACT AND APPLIED ANALYSIS, 2014,

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