Loading...
Please wait, while we are loading the content...
On the oscillatory behavior of solutions of higher order nonlinear fractional differential equations
| Content Provider | Scilit |
|---|---|
| Author | Grace, Said R. Tunç, Ercan |
| Copyright Year | 2017 |
| Abstract | The study of oscillation theory for fractional differential equations has been initiated by Grace et al. [5]. In this paper we establish some new criteria for the oscillation of fractional differential equations with the Caputo derivative of the form {{}^{C}D_{a}^{r}x(t)=e(t)+f(t,x(t)),t>0,a>1} , where {r=\alpha+n-1,\alpha\in(0,1)} , and {n\geq 1} is a natural number. We also present the conditions under which all solutions of this equation are asymptotic to {t^{n-1}} as {t\to\infty} . |
| Related Links | http://www.degruyter.com/downloadpdf/j/gmj.ahead-of-print/gmj-2017-0026/gmj-2017-0026.xml |
| Ending Page | 369 |
| Page Count | 7 |
| Starting Page | 363 |
| ISSN | 1072947X |
| e-ISSN | 15729176 |
| DOI | 10.1515/gmj-2017-0026 |
| Journal | Georgian Mathematical Journal |
| Issue Number | 3 |
| Volume Number | 25 |
| Language | English |
| Publisher | Walter de Gruyter GmbH |
| Publisher Date | 2017-06-29 |
| Access Restriction | Open |
| Subject Keyword | Georgian Mathematical Journal Mathematics Applied Mathematics Asymptotic Behavior Oscillation Nonoscillatory Solution Caputo Derivative Higher Order Fractional Differential Equations Journal: Georgian Mathematical Journal, Vol- 25 |
| Content Type | Text |
| Resource Type | Article |
| Subject | Mathematics |
