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$$\psi $$-Hilfer pseudo-fractional operator: new results about fractional calculus

Computational and Applied Mathematics, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
José Vanterler da Costa Sousa   +2 more
openaire   +2 more sources

Operational Calculus for Bessel’s Fractional Equation

2013
This paper is intended to investigate a fractional differential Bessel’s equation of order 2α with \( \alpha \in]0,1] \) involving the Riemann–Liouville derivative. We seek a possible solution in terms of power series by using operational approach for the Laplace and Mellin transform. A recurrence relation for coefficients is obtained.
M. M. Rodrigues   +2 more
openaire   +1 more source

Mikusiński’s operational calculus for general conjugated fractional derivatives

Boletín de la Sociedad Matemática Mexicana, 2023
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

Delsarte equation for Caputo operator of fractional calculus

Fractional Calculus and Applied Analysis, 2022
Emamirad, Hassan, Rougirel, Arnaud
openaire   +1 more source

Series Representations for Fractional-Calculus Operators Involving Generalised Mittag-Leffler Functions

Communications in Nonlinear Science and Numerical Simulation, 2019
Dumitru Baleanu   +2 more
exaly  

Fractional Calculus Operators of Special Functions? The Result Is Well Predictable!

Chaos, Solitons and Fractals, 2017
Virginia S. Kiryakova
exaly  

Generalized Mittag-Leffler Function and Generalized Fractional Calculus Operators

Integral Transforms and Special Functions, 2004
Anatoly A Kilbas, R K Saxena
exaly  

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