Initial value problems for fractional differential equations involving Riemann–Liouville sequential fractional derivative

By Zhongli Wei, Qingdong Li, Junling Che. 2010

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Dynamical analysis of a fractional-order predator-prey model incorporating a prey refuge (2016, unknown): “(11) Since Eq,q(x) > 0 for 0 < q < 1 and x ∈ R (see [29]), m(t) is a nonnegative function, it follows from (10) and (11) that U (t) ≤ V (t) = U (t0)Eq −λ(t − t0) ] , t ≥ t0.”
Existence of solutions of initial value problems for nonlinear fractional differential equations on (2011, methodology): “Very recently, in [32,33], the authors studied the existence anduniqueness of some classes of fractional differential equations for initial value problem by using monotone iterative method and in [34,35], the authors considered the existence of a solution for boundary value problems on half-axis.”
Riemann-Liouville fractional integro-differential equations with fractional nonlocal integral boundary conditions (2011, unknown): “For some recent development on the topic, (see [3-19] and references therein).”
Sequential fractional differential equations with Hadamard derivative (2011, background): “On the other hand, results on the existence and uniqueness of solutions for SFDE with a basic Riemann-Liouville derivative can be found in (4; 12; 13; 14).”
Dissipativity and Stability Analysis for Fractional Functional Differential Equations (2015, unknown): “They have the following properties, see [31].”