On the oscillation of fractional differential equations
In this paper we initiate the oscillation theory for fractional differential equations. Oscillation criteria are obtained for a class of nonlinear fractional differential equations of the form Dqax+f1(t,x)=v(t)+f2(t,x),limt→aJ1−qax(t)=b1 , where D a q denotes the Riemann-Liouville differential opera...
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sg-ntu-dr.10356-1000402020-03-07T13:56:09Z On the oscillation of fractional differential equations Grace, Said R. Agarwal, Ravi P. Wong, Patricia Jia Yiing Zafer, Ağacık School of Electrical and Electronic Engineering DRNTU::Engineering::Electrical and electronic engineering In this paper we initiate the oscillation theory for fractional differential equations. Oscillation criteria are obtained for a class of nonlinear fractional differential equations of the form Dqax+f1(t,x)=v(t)+f2(t,x),limt→aJ1−qax(t)=b1 , where D a q denotes the Riemann-Liouville differential operator of order q, 0 < q ≤ 1. The results are also stated when the Riemann-Liouville differential operator is replaced by Caputo’s differential operator. 2013-10-04T04:38:35Z 2019-12-06T20:15:37Z 2013-10-04T04:38:35Z 2019-12-06T20:15:37Z 2012 2012 Journal Article Grace, S. R., Agarwal, R. P., Wong, P. J. Y., & Zafer, A. (2012). On the oscillation of fractional differential equations. Fractional calculus and applied analysis, 15(2), 222-231. https://hdl.handle.net/10356/100040 http://hdl.handle.net/10220/16261 10.2478/s13540-012-0016-1 en Fractional calculus and applied analysis |
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DRNTU::Engineering::Electrical and electronic engineering Grace, Said R. Agarwal, Ravi P. Wong, Patricia Jia Yiing Zafer, Ağacık On the oscillation of fractional differential equations |
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In this paper we initiate the oscillation theory for fractional differential equations. Oscillation criteria are obtained for a class of nonlinear fractional differential equations of the form Dqax+f1(t,x)=v(t)+f2(t,x),limt→aJ1−qax(t)=b1 , where D a q denotes the Riemann-Liouville differential operator of order q, 0 < q ≤ 1. The results are also stated when the Riemann-Liouville differential operator is replaced by Caputo’s differential operator. |
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School of Electrical and Electronic Engineering |
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School of Electrical and Electronic Engineering Grace, Said R. Agarwal, Ravi P. Wong, Patricia Jia Yiing Zafer, Ağacık |
| format |
Article |
| author |
Grace, Said R. Agarwal, Ravi P. Wong, Patricia Jia Yiing Zafer, Ağacık |
| author_sort |
Grace, Said R. |
| title |
On the oscillation of fractional differential equations |
| title_short |
On the oscillation of fractional differential equations |
| title_full |
On the oscillation of fractional differential equations |
| title_fullStr |
On the oscillation of fractional differential equations |
| title_full_unstemmed |
On the oscillation of fractional differential equations |
| title_sort |
on the oscillation of fractional differential equations |
| publishDate |
2013 |
| url |
https://hdl.handle.net/10356/100040 http://hdl.handle.net/10220/16261 |
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1681043679829032960 |