Forced oscillation of fractional differential equations via conformable derivatives with damping term

被引：16

作者：

Aphithana, Aphirak ^{[1
]}

Ntouyas, Sotiris K. ^{[2
,3
]}

Tariboon, Jessada ^{[1
]}

机构：

[1] King Mongkuts Univ Technol North Bangkok, Fac Appl Sci, Dept Math, Intelligent & Nonlinear Dynam Innovat Res Ctr, Bangkok, Thailand

[2] Univ Ioannina, Dept Math, Ioannina, Greece

[3] King Abdulaziz Univ, Dept Math, Nonlinear Anal & Appl Math NAAM Res Grp, Fac Sci, Jeddah, Saudi Arabia

来源：

BOUNDARY VALUE PROBLEMS | 2019年 / 2019卷 / 1期

关键词：

Forced oscillation; Oscillation theory; Fractional differential equations; Fractional conformable integrals; Fractional conformable derivatives; Damping; COUPLED SYSTEM; EXISTENCE; INCLUSIONS;

D O I：

10.1186/s13661-019-1162-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Based on the properties of nonlocal fractional calculus generated by conformable derivatives, we establish some sufficient conditions for oscillation of all solutions for fractional differential equations with damping term. Forced oscillation of conformable differential equations in the frame of Riemann, as well as of Caputo type, is established. Examples are provided to demonstrate the effectiveness of the main results.

引用

页数：16

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