Oscillation of Nonlinear Fractional Dynamic Equations with Forcing Term-Reference-Cited by-同舟云学术

Oscillation of Nonlinear Fractional Dynamic Equations with Forcing Term

Published:2021-08-18 Issue: Volume:2021 Page:1-12
ISSN:2314-4785
Container-title:Journal of Mathematics
language:en
Short-container-title:Journal of Mathematics

Author:

Manikandan S.¹^ORCID,Muthulakshmi V.¹^ORCID,Harikrishnan S.²^ORCID,Hammachukiattikul Porpattama³^ORCID

Affiliation:

1. Department of Mathematics, Periyar University, Salem 636 011, Tamilnadu, India

2. Department of Mathematics, Sona College of Technology, Salem 636 005, Tamilnadu, India

3. Department of Mathematics, Faculty of Science and Technology, Phuket Rajabhat University, Phuket 83000, Thailand

Abstract

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.

Funder

Thailand Science Research and Innovation

Publisher

Hindawi Limited

Subject

General Mathematics

Link

http://downloads.hindawi.com/journals/jmath/2021/6642192.pdf

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