Results 31 to 40 of about 69 (56)

General Fractional Calculus Operators with the Sonin kernels and Some of Their Applications

IFAC-PapersOnLine
openaire   +1 more source

General fractional q-integrals and q-derivatives: a Sonin–Luchko q-kernel approach

Arabian Journal of Mathematics
openaire   +1 more source

Some of the next articles are maybe not open access.

Related searches:

Generalising the fractional calculus with Sonine kernels via conjugations

Journal of Computational and Applied Mathematics, 2023
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mohammed Al-Refai, Arran Fernández
exaly   +2 more sources

Extending Sonine kernels to arbitrary dimensions

Banach Journal of Mathematical Analysis
Abstract The theory of general fractional calculus with Sonine kernels has been well developed by Luchko in the one-dimensional case. Inspired by recent work on Mikusiński’s operational calculus for fractional partial differential operators, we construct a multi-dimensional version of the theory of Sonine kernels, solving a recognised open ...
Arran Fernández, Fernández Arran
exaly   +2 more sources

Multi-dimensional Operators with Sonine Kernels

Trends in Mathematics
Arran Fernández, Fernández Arran
exaly   +2 more sources

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
Arran Fernández, Nazim I Mahmudov
exaly   +2 more sources

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

Computational and Applied Mathematics
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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   +1 more source

On the fractional-in-time Keller-Segel model via Sonine kernels

Topological Methods in Nonlinear Analysis
In this paper, we study the existence and asymptotic behavior to a diffusion system which is non-local in time. As consequence of our theorems we deduce new results for the fractional-in-time Keller-Segel model. Our approach is intimately related with the Sonine kernels.
Masterson Costa, Claudio Cuevas, Clessius Silva, Herme Soto   +3 more
openaire   +1 more source