Cauchy problems for fractional differential equations with Riemann-Liouville fractional derivatives ✩

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New Result on the Critical Exponent for Solution of an Ordinary Fractional Differential Problem (2017, background): “Fractional Cauchy problems are important in physics to model anomalous diffusion [35], and one has already shown that some transfer processes in a medium and a universal response of electromagnetic, acoustic, and mechanical influence can be described by the fractional Cauchy problem (Dα +x) (t) = f ”
Controllability of Sobolev type fractional evolution systems (2014, background): “For more interesting theory results and scientific applications of fractional differential equations, we cite the monographs [2, 3, 4, 5, 6], the research papers [7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31] and the references therein.”
Existence of mild solutions for a class of Hilfer fractional evolution equations with nonlocal conditions (2017, background): “For more details of the theory and applications of Riemann−Liouville fractional differential equations, one can refer to [14]–[15], [24].”