Oscillation Criteria for Nonlinear Fractional Differential Equations
Several oscillation criteria are established for nonlinear fractional differential equations of the form at(rtD-αxt)′η′-Ft, ∫t∞v-t-αxvdv=0, where D-αx is the Liouville right-side fractional derivative of order α∈(0, 1) of x and η is a quotient of two odd positive integers. We also give some example...
Saved in:
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
|
| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2013/971357 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1849412467377045504 |
|---|---|
| author | Run Xu |
| author_facet | Run Xu |
| author_sort | Run Xu |
| collection | DOAJ |
| description | Several oscillation criteria are
established for nonlinear fractional differential equations of the form at(rtD-αxt)′η′-Ft, ∫t∞v-t-αxvdv=0, where D-αx is the Liouville right-side fractional
derivative of order α∈(0, 1) of x and η is a quotient
of two odd positive integers. We also give some examples to
illustrate the main results. To the best of our knowledge, the
results are initiation for the oscillatory behavior of the equations. |
| format | Article |
| id | doaj-art-5a73f4f37f9349bea8fd34ec1c4c5935 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-5a73f4f37f9349bea8fd34ec1c4c59352025-08-20T03:34:26ZengWileyJournal of Applied Mathematics1110-757X1687-00422013-01-01201310.1155/2013/971357971357Oscillation Criteria for Nonlinear Fractional Differential EquationsRun Xu0Department of Mathematics, Qufu Normal University, Qufu, Shandong 273165, ChinaSeveral oscillation criteria are established for nonlinear fractional differential equations of the form at(rtD-αxt)′η′-Ft, ∫t∞v-t-αxvdv=0, where D-αx is the Liouville right-side fractional derivative of order α∈(0, 1) of x and η is a quotient of two odd positive integers. We also give some examples to illustrate the main results. To the best of our knowledge, the results are initiation for the oscillatory behavior of the equations.http://dx.doi.org/10.1155/2013/971357 |
| spellingShingle | Run Xu Oscillation Criteria for Nonlinear Fractional Differential Equations Journal of Applied Mathematics |
| title | Oscillation Criteria for Nonlinear Fractional Differential Equations |
| title_full | Oscillation Criteria for Nonlinear Fractional Differential Equations |
| title_fullStr | Oscillation Criteria for Nonlinear Fractional Differential Equations |
| title_full_unstemmed | Oscillation Criteria for Nonlinear Fractional Differential Equations |
| title_short | Oscillation Criteria for Nonlinear Fractional Differential Equations |
| title_sort | oscillation criteria for nonlinear fractional differential equations |
| url | http://dx.doi.org/10.1155/2013/971357 |
| work_keys_str_mv | AT runxu oscillationcriteriafornonlinearfractionaldifferentialequations |