Results 71 to 80 of about 487,487 (101)

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 ...
Krunal B Kachhia, Jaivee J Gohil
exaly   +3 more sources

(Non)Commutativity and Associativity of General Fractional Derivatives With Different Sonin Kernels

Communications in Nonlinear Science and Numerical Simulation
Vasily E. Tarasov
exaly   +3 more sources

Transmuted Fractional Calculus With Sonin Kernels in Two Dimensions

Computational and Applied Mathematics
Krunal B Kachhia, Jaivee J Gohil
exaly   +4 more sources

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
exaly   +4 more sources

The Lp-Weighted Lagrange Interpolation on Markov--Sonin Zeros

Acta Mathematica Hungarica, 2006
We study a truncated interpolation process based on the zeros of the Markov - Sonin polynomials and give convergence results in some subspaces of the L p weighted ...
Donatella Occorsio, Maria Grazia Russo
exaly   +3 more sources

Markov–Sonin Gaussian Rule for Singular Functions

Journal of Computational and Applied Mathematics, 2004
The paper deals with the approximation of integrals R fw, where w is a Markov–Sonin weight and f can be singular at the origin. Gaussian-type quadrature rules, having a better behaviour w.r.t.
Donatella Occorsio, G Mastroianni
exaly   +2 more sources

Axisymmetric Stressed State of Uniformly Layered Space with Periodic Systems of Internal Disc-Shaped Cracks and Inclusions

, 2020
Using the Hankel integral transform, we construct discontinuous solutions for the problem of the axisymmetric stress state of a piecewise homogeneous, uniformly layered space, obtained by alternately connecting two heterogeneous layers of the same ...
V. Hakobyan, H. Amirjanyan, K.Ye. Kazakov   +2 more
semanticscholar   +1 more source

Fractional differential equations with continuous variable coefficients and Sonine kernels

Communications in Nonlinear Science and Numerical Simulation
We study linear fractional ODEs with continuous variable coefficients and general fractional derivative (GFD) operators of Riemann-Liouville and Caputo types defined using Sonine kernels. Using the Banach fixed point theorem, we prove existence and uniqueness of solution functions in suitable function spaces, and we construct these solutions explicitly
Yildiz Güzoglu Yücel, Arran Fernandez, Nazim I. Mahmudov   +2 more
openaire   +1 more source

Weighted 1st-level fractional derivatives with Sonine Kernels with respect to functions

Computational and Applied Mathematics
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Mahendrakumar N. Dabhi, Krunal B. Kachhia   +1 more
openaire   +2 more sources

Fuzzy general fractional operators with Sonine kernels under gH-differentiability

Computational and Applied Mathematics
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Xuelong Liu, Guoju Ye, Wei Liu 0088
openaire   +2 more sources