Geodesic
Lyapunov-type inequality for nonlinear systems with Riemann-Liouville fractional derivatives
Novi Sad Journal of Mathematics, Tome 49 (2019) no. 2.

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In this paper, we introduce a fractional nonlinear system of differential equations including the Riemann-Liouville derivatives. We present some new Lyapunov-type inequalities for this fractional nonlinear system and its special cases. A study of the boundedness and the behavior of oscillatory solutions are also given.
Publié le :
DOI : 10.30755/NSJOM.07194
Classification : 26D10, 33E12, 34A08
Keywords: Lyapunov inequality, Riemann-Liouville fractional derivative and integral, Caputo derivative 
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     author = {Alireza Ansari and Shiva Eshaghi and Reza Khoshsiar Ghaziani},
     title = {Lyapunov-type inequality for nonlinear systems with 
	{Riemann-Liouville} fractional derivatives},
     journal = {Novi Sad Journal of Mathematics},
     pages = {17 - 34},
     publisher = {mathdoc},
     volume = {49},
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     year = {2019},
     doi = {10.30755/NSJOM.07194},
     url = {http://geodesic.mathdoc.fr/articles/10.30755/NSJOM.07194/}
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Alireza Ansari; Shiva Eshaghi; Reza Khoshsiar Ghaziani. Lyapunov-type inequality for nonlinear systems with 
	Riemann-Liouville fractional derivatives. Novi Sad Journal of Mathematics, Tome 49 (2019) no. 2. doi : 10.30755/NSJOM.07194. http://geodesic.mathdoc.fr/articles/10.30755/NSJOM.07194/

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