Generalized fractional derivatives generated by a class of local proportional derivatives

By Fahd Jarad, Thabet Abdeljawad, Jehad O. Alzabut. The European Physical Journal Special Topics, 2017

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On more general forms of proportional fractional operators (2019, methodology): “[32] For σ > 0 and ω ∈ C, Re(ω) > 0, the forward fractional proportional integral of f reads (a Iω,σ f )(x) = 1 σωΓ(ω) x ∫”