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Some Sonine-Gegenbauer type integrals [PDF]

Computers and Mathematics With Applications, 1999
In this paper, we consider Sonine-Gegenbauer type integrals of the form∫0zCμ(α2+at2)(α2+at2)δ2 Dv (β2+bt2)(β2+bt2)v2 tλ−1 dtwhere Cμ (z) and Dv(z) are Bessel functions.Series representations for z = ∞ and z finite are obtained.
Galué, L., Tuan, V.K., Kalla, S.
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Spectral relationships for the integral operators generated by a kernel in the form of a weber-son in integral, and their application to contact problems

Journal of Applied Mathematics and Mechanics, 1984
Generalized potential theory methods are used to re-establish the spectral relationship for the integral operators generated by a symmetric kernel in the form of the Weber-Sonin integral in the finite interval (0,a), the kernel containing Jacobi polynomials.
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Distributed Order Fractional Calculus in Two Dimensions With Sonin Kernels: A Transmutation Approach

Mathematical Methods in the Applied Sciences
ABSTRACT This article introduces a unified framework for transmuted general fractional derivatives of distributed order in two dimensions based on parameter‐dependent Sonin kernels. General Riemann–Liouville and Caputo‐type operators are first formulated and extended to the distributed‐order setting via suitable weight functions ...
Jaivee J. Gohil, Krunal B. Kachhia
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Transmuted fractional calculus with Sonin Kernels in two dimensions

Computational and Applied Mathematics
Jaivee J. Gohil, Krunal B. Kachhia
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Sonine-type integral transforms related to the Dunkl operator on the real line

Integral Transforms and Special Functions, 2009
Mohamed Ali Mourou
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A tempered fractional diffusion equation with Sonin kernel as anomalous diffusion model

Communications in Nonlinear Science and Numerical Simulation
Maryam Alkandari, Dimitri Loutchko, Yuri Luchko   +2 more
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On fractional derivatives of Djrbashian–Nersessian type with the nth-level Sonin kernels and their basic properties

Fractional Calculus and Applied Analysis
Mohammed Al-Refai, Yuri Luchko
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Modified Sonine approximation for the Navier–Stokes transport coefficients of a granular gas

Physica A: Statistical Mechanics and Its Applications, 2007
Vicente Garzó, José M Montanero, Andres Santos   +2 more
exaly  

Multiplier operators and extremal functions related to the dual dunkl-sonine operator

Acta Mathematica Scientia, 2013
Fethi Soltani
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(Non)Commutativity and associativity of general fractional derivatives with different Sonin kernels

Communications in Nonlinear Science and Numerical Simulation
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