Results 71 to 80 of about 535,598 (86)

Weighted 1st-Level Fractional Derivatives With Sonine Kernels With Respect to Functions

Computational and Applied Mathematics
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Krunal B Kachhia
exaly   +3 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

Multiplier Operators and Extremal Functions Related to the Dual Dunkl-Sonine Operator

Acta Mathematica Scientia, 2013
Fethi Soltani
exaly  

Weighted Generalized Hölder Spaces as Willposednedd Classes for Sonine Integral Equations

Journal of Integral Equations and Applications, 2008
Stefan Grigorievich Samko
exaly  

Fractional Derivatives With Nonsingular Kernels

2020
Xiao-Jun Yang
exaly  

(Non)Commutativity and associativity of general fractional derivatives with different Sonin kernels

Communications in Nonlinear Science and Numerical Simulation
openaire   +1 more source