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...
Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2021-01-01
|
| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2021/6642192 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832566433344651264 |
|---|---|
| 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 |
| 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 | Kabale University |
| issn | 2314-4629 2314-4785 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-b680cebb8a264b738a7abc893fcffc212025-02-03T01:04:17ZengWileyJournal 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 Journal of Mathematics |
| 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 |