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Zbl 1232.34014
Yakar, Ali
Some generalizations of comparison results for fractional differential equations. (English)
[J] Comput. Math. Appl. 62, No. 8, 3215-3220 (2011). ISSN 0898-1221

Summary: By using the technique of upper and lower solutions together with the theory of strict and nonstrict fractional differential inequalities involving Riemann-Liouville differential operator of order $q$, $0<q<1$, some necessary comparison results for further generalizations of several dynamical concepts are obtained. Furthermore, these results are extended to the finite systems of fractional differential equations.

MSC 2000:: *34A08
34C10 Qualitative theory of oscillations of ODE: Zeros, etc.
45J05 Integro-ordinary differential equations

Keywords: fractional differential equations; comparison result; differential inequalities

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Zentralblatt MATH Berlin [Germany]