Results 61 to 70 of about 74,628 (79)

Multi-dimensional Operators with Sonine Kernels

Trends in Mathematics
Arran Fernández
exaly   +2 more sources

An equivalent formulation of Sonine condition [PDF]

Applied Mathematics Letters
Sonine kernel is characterized by the Sonine condition (denoted by SC) and is an important class of kernels in nonlocal differential equations and integral equations.
Xiangcheng Zheng
exaly   +2 more sources

Sonine—Gegenbauer-type integrals [PDF]

Journal of Computational and Applied Mathematics, 1994
Representations for complete and incomplete Sonine—Gegenbauer-type integrals are given in terms of generalized hypergeometric functions in two and three variables and in terms of Neumann-type series.
Allen R Miller
exaly   +2 more sources

General fractional calculus approach to a three-dimensional nonlinear reaction–diffusion system for atherosclerosis: LDL, Lipoprotein(a) and CRP dynamics with Sonine kernels

Chaos, Solitons and Fractals
Mehmet Yavuz
exaly   +2 more sources

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.
exaly   +2 more sources

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.
openaire   +1 more source

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
openaire   +1 more source

Transmuted fractional calculus with Sonin Kernels in two dimensions

Computational and Applied Mathematics
Jaivee J. Gohil, Krunal B. Kachhia
openaire   +2 more sources

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
openaire   +1 more source

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
openaire   +2 more sources