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Operational Calculus for the General Fractional Derivative and Its Applications

Fractional Calculus and Applied Analysis, 2021
Yuri Luchko
exaly  

Discrete-time general fractional calculus

Fractional Calculus and Applied Analysis
Alexandra V. Antoniouk   +1 more
openaire   +1 more source

Strong Mixed and Generalized Abstract Fractional Calculus

2017
We present here a strong mixed fractional calculus theory for Banach space valued functions of generalized Canavati type. Then we establish several mixed fractional Bochner integral inequalities of various types. It follows Anastassiou (Mat Vesn Accept, [5]).
openaire   +1 more source

Variable-order fractional calculus: A change of perspective

Communications in Nonlinear Science and Numerical Simulation, 2021
Roberto Garrappa   +2 more
exaly  

A Generalized Fractional Calculus and Integral Transforms

1988
In this paper a generalized fractional calculus and its applications to different topics in analysis, especially to some integral transforms, are discussed. The kernel-function of the generalized operators of integration of fractional multiorder considered here is a suitably chosen case of Meijer’s G-function: $${\text{G}}_{{\text{pq}}}^{{\text{mn}}
openaire   +1 more source

Development of the General Bateman Solution using fractional calculus: A theoretical and algorithmic approach

Computer Physics Communications, 2022
Gilberto Espinosa-Paredes   +1 more
exaly  

Generalized fractional calculus of the \(H\)-function

1999
This is an identical paper as the paper published in RIMS Kokyurouko 1062, 89-107 (1998; Zbl 0942.33007).
Saigo, Megumi, Kilbas, Anatoly A.
openaire   +2 more sources

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