Results 51 to 60 of about 74,628 (79)

On a Gronwall-type inequality for the general fractional integrals with the Sonin kernels and its applications

open access: yesCommunications in Nonlinear Science and Numerical Simulation
Mohammed Al-Refai   +2 more
openaire   +1 more source

Generalising the fractional calculus with Sonine kernels via conjugations

open access: yesJournal of Computational and Applied Mathematics, 2023
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mohammed Al-Refai, Arran Fernández
exaly   +3 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 Mahmudov
exaly   +2 more sources

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

open access: yesTopological 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   +3 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.
Guoju Ye
exaly   +3 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.
Krunal Kachhia
exaly   +3 more sources

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