2004
DOI: 10.1080/10652460310001600717
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Generalized mittag-leffler function and generalized fractional calculus operators

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Cited by 457 publications
(306 citation statements)
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“…In the case of no truncation (b = 0), from Equation (40), by using the formula RL [14], we recover the result (30) for the MSD.…”
Section: Tempered Frictionmentioning
confidence: 98%
See 1 more Smart Citation
“…In the case of no truncation (b = 0), from Equation (40), by using the formula RL [14], we recover the result (30) for the MSD.…”
Section: Tempered Frictionmentioning
confidence: 98%
“…Here we note that the Prabhakar derivative in a form of R-L is given by RL [12,13] (see also [14]). [5].…”
Section: Prabhakar Derivativesmentioning
confidence: 99%
“…Some researchers found interesting the analytical results of the linear fractional-order differential equations are represented by the Mittag-Leffler function, which exhibits a power-law asymptotic behavior [12]. Therefore, the fractional calculus is being widely used to analyze the random signals with power-law size distributions or power-law decay of correlations [13,14].…”
Section: Fractal and Fractional Gaussian Noisementioning
confidence: 99%
“…then the evolution problem 12) with an analytic function g(t) as boundary condition, admits an operational solution…”
Section: Theorem 32 Consider the Following Initial Value Problem (Ivp)mentioning
confidence: 99%