Abstract
Fuzzy fractional calculus revisited
Highlights
The left and right Prabhakar fractional integrals with respect to ψ are defined ([9]) as follows: eγρ;,ψμ,ω,a+ f (x) =
J=1 where (γ j)kj is the Pochhammer symbol, Γ is the gamma function. This is a special case of the generalized Lauricella series in several variables, see [21], p. 454 and [23]
We present the following left Opial type general inequality
Summary
The left and right Prabhakar fractional integrals with respect to ψ are defined ([9]) as follows: eγρ;,ψμ,ω,a+ f (x) = Let f ∈ C1 ([a, b]), we define the following Caputo type generalized left fractional derivative with non singular kernel of order ρ, as We define the Caputo type generalized left fractional derivative with non singular kernel of order n + ρ, as We define the Caputo type generalized right fractional derivative with non singular kernel of order ρ, as
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