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Some generalizations of comparison results for fractional differential equations. (English) Zbl 1232.34014
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, 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:
 34A08 Fractional differential equations 34C10 Qualitative theory of oscillations of ODE: zeros, disconjugacy and comparison theory 45J05 Integro-ordinary differential equations
##### References:
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