Oscillation of Nonlinear Fractional Dynamic Equations with Forcing Term

In this paper, interval oscillation criteria for the nonlinear damped dynamic equations with forcing terms on time scales within conformable fractional derivatives are established. Our approach is determined from the implementation of generalized Riccati transformation, some properties of conformabl...

Full description

Bibliographic Details
Published in:Journal of Mathematics
Main Authors: S. Manikandan, V. Muthulakshmi, S. Harikrishnan, Porpattama Hammachukiattikul
Format: Article
Language:English
Published: Wiley 2021-01-01
Online Access:http://dx.doi.org/10.1155/2021/6642192
_version_ 1849821248843939840
author S. Manikandan
V. Muthulakshmi
S. Harikrishnan
Porpattama Hammachukiattikul
author_facet S. Manikandan
V. Muthulakshmi
S. Harikrishnan
Porpattama Hammachukiattikul
author_sort S. Manikandan
collection DOAJ
container_title Journal of Mathematics
description In this paper, interval oscillation criteria for the nonlinear damped dynamic equations with forcing terms on time scales within conformable fractional derivatives are established. Our approach is determined from the implementation of generalized Riccati transformation, some properties of conformable time-scale fractional calculus, and certain mathematical inequalities. Also, we extend the study of oscillation to conformable fractional Euler-type dynamic equation. Examples are presented to emphasize the validity of the main theorems\enleadertwodots.
format Article
id doaj-art-b680cebb8a264b738a7abc893fcffc21
institution Directory of Open Access Journals
issn 2314-4629
2314-4785
language English
publishDate 2021-01-01
publisher Wiley
record_format Article
spelling doaj-art-b680cebb8a264b738a7abc893fcffc212025-08-20T01:30:00ZengWileyJournal of Mathematics2314-46292314-47852021-01-01202110.1155/2021/66421926642192Oscillation of Nonlinear Fractional Dynamic Equations with Forcing TermS. Manikandan0V. Muthulakshmi1S. Harikrishnan2Porpattama Hammachukiattikul3Department of Mathematics, Periyar University, Salem 636 011, Tamilnadu, IndiaDepartment of Mathematics, Periyar University, Salem 636 011, Tamilnadu, IndiaDepartment of Mathematics, Sona College of Technology, Salem 636 005, Tamilnadu, IndiaDepartment of Mathematics, Faculty of Science and Technology, Phuket Rajabhat University, Phuket 83000, ThailandIn this paper, interval oscillation criteria for the nonlinear damped dynamic equations with forcing terms on time scales within conformable fractional derivatives are established. Our approach is determined from the implementation of generalized Riccati transformation, some properties of conformable time-scale fractional calculus, and certain mathematical inequalities. Also, we extend the study of oscillation to conformable fractional Euler-type dynamic equation. Examples are presented to emphasize the validity of the main theorems\enleadertwodots.http://dx.doi.org/10.1155/2021/6642192
spellingShingle S. Manikandan
V. Muthulakshmi
S. Harikrishnan
Porpattama Hammachukiattikul
Oscillation of Nonlinear Fractional Dynamic Equations with Forcing Term
title Oscillation of Nonlinear Fractional Dynamic Equations with Forcing Term
title_full Oscillation of Nonlinear Fractional Dynamic Equations with Forcing Term
title_fullStr Oscillation of Nonlinear Fractional Dynamic Equations with Forcing Term
title_full_unstemmed Oscillation of Nonlinear Fractional Dynamic Equations with Forcing Term
title_short Oscillation of Nonlinear Fractional Dynamic Equations with Forcing Term
title_sort oscillation of nonlinear fractional dynamic equations with forcing term
url http://dx.doi.org/10.1155/2021/6642192
work_keys_str_mv AT smanikandan oscillationofnonlinearfractionaldynamicequationswithforcingterm
AT vmuthulakshmi oscillationofnonlinearfractionaldynamicequationswithforcingterm
AT sharikrishnan oscillationofnonlinearfractionaldynamicequationswithforcingterm
AT porpattamahammachukiattikul oscillationofnonlinearfractionaldynamicequationswithforcingterm

Similar Items