Advanced Methods in the Fractional Calculus of Variations

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Fractional Differential Equations with Mixed Boundary Conditions (2017, background): “Fractional calculus can be seen as a generalization of ordinary calculus, in the sense that derivatives and integrals of arbitrary real or complex order are defined [13,17,19].”
On History of Mathematical Economics: Application of Fractional Calculus (2019, background): “Methods of the fractional calculus of variations are actively developing [248,249].”
A Caputo fractional derivative of a function with respect to another function (2016, background): “…following Riemann–Liouville: RL I αa + f ( x ) := 1 Γ( α ) To overcome the vast number of deﬁnitions, we can for instance consider general operators, from which choosing special kernels and some form of diﬀerential operator, we obtain the classical fractional integrals and derivatives [1, 17, 20].”