Results 231 to 240 of about 2,998 (256)

Generalized Mellin transform and its applications in fractional calculus

Computational and Applied Mathematics, 2022
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Talha Aziz, Mujeeb ur Rehman
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Mikusiński’s Operational Calculus Applied in General Classes of Fractional Calculus

2022
Mikusi?ski’s operational calculus is an algebraic formalism for integral and derivative operators, constructed in the mid 20th century, which can be used for solving differential equations. It is formally similar to the method of Laplace transforms, but applicable to a bigger set of problems due to its setting in a larger function space.
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On the origins of generalized fractional calculus

AIP Conference Proceedings, 2015
In Fractional Calculus (FC), as in the (classical) Calculus, the notions of derivatives and integrals (of first, second, etc. or arbitrary, incl. non-integer order) are basic and co-related. One of the most frequent approach in FC is to define first the Riemann-Liouville (R-L) integral of fractional order, and then by means of suitable integer-order ...
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On general tempered fractional calculus with Luchko kernels

Journal of Computational and Applied Mathematics
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Furqan Hussain, Mujeeb ur Rehman
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Chaotic property in general fractional calculus

Chaos: An Interdisciplinary Journal of Nonlinear Science
We prove the chaos property, in the sense of Devaney, of the discrete-time fractional derivative understood in the framework of general fractional calculus. The latter means the discretization of a differential-convolution operator whose kernel has the Laplace transform belonging to the Stieltjes class.
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Generalized Fractional Calculus

2021
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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}}
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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.
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Tempered and Hadamard-Type Fractional Calculus with Respect to Functions

Mediterranean Journal of Mathematics, 2021
Hafiz Muhammad Fahad, Arran Fernández, Mujeeb Ur Rehman   +2 more
exaly  

Discrete-time general fractional calculus

Fractional Calculus and Applied Analysis
Alexandra V. Antoniouk, Anatoly N. Kochubei   +1 more
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