THEORY OF FRACTIONAL DIFFERENTIAL INEQUALITIES AND APPLICATIONS

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Stability for Caputo Fractional Differential Systems (2014, background): “[1–5] investigated the basic theory of initial value problems for fractional differential equations involving Riemann-Liouville differential operators of order 0 < q < 1.”
SOME EXISTENCE RESULTS FOR FRACTIONAL INTEGRO-DIFFERENTIAL EQUATIONS WITH NONLINEAR CONDITIONS (2008, background): “In consequence, the subject of fractional differential equations is gaining much importance and attention, see for example [1, 5, 6, 7, 10] and the references therein.”
On the Nonlinear $\Psi$-Hilfer Hybrid Fractional Differential Equations (2020, background): “• For f = 1, ν = 1 (in this case ξ = 1), Ψ(t) = t, the acquired results includes the study of nonlinear FDEs involving Caputo derivative[1] CD 0+ y(t) = g(t, y(t)), a.”
Boundary Value Problems for Fractional Differential Equations (2009, background): “V. Lakshmikantham and A. S. Vatsala, Theory of fractional differential inequalities and applications.”
General uniqueness and monotone iterative technique for fractional differential equations (2008, methodology): “2 in [10] to get the equicontinuity of the sequences {vn}, {wn}.”
Existence of solutions for nonlinear fractional three-point boundary value problems at resonance (2011, background): “For some recent results on this topic, see [2–5, 13–18, 22–26] and the references therein.”