Results 171 to 180 of about 48,942 (223)

Approximations of fractional integrals and Caputo fractional derivatives

Applied Mathematics and Computation, 2006
In a series of recent papers [see \textit{K. Diethelm, A. D. Freed} and \textit{N. J. Ford}, Numer. Algorithms 36, No. 1, 31--52 (2004; Zbl 1055.65098)], and the references cited therein], the reviewer and his collaborators have proposed and analysed a numerical scheme for the approximation of \(J^\alpha\), the Riemann-Liouville fractional integral of ...
Zaid Odibat
exaly   +3 more sources

On Caputo Fractional Derivatives and Caputo–Fabrizio Integral Operators via (s, m)-Convex Functions

open access: yesFractal and Fractional, 2023
This paper contains a variety of new integral inequalities for (s,m)-convex functions using Caputo fractional derivatives and Caputo–Fabrizio integral operators.
Ammara Nosheen   +2 more
exaly   +2 more sources

Numerical study of a new time-fractional Mpox model using Caputo fractional derivatives

Physica Scripta, 2023
This study examines the new time-fractional model for Mpox, utilizing Caputo fractional derivatives, specifically focusing on pregnant individuals. The fractional variational iteration method (FVIM) is used to compute a numerical solution for this model.
A. Venkatesh, M. M., B. B, Shyamsunder K
semanticscholar   +1 more source

On system of nonlinear coupled differential equations and inclusions involving Caputo-type sequential derivatives of fractional order

open access: yesJournal of Taibah University for Science, 2022
We investigate a new class of boundary value problems of a nonlinear coupled system of sequential fractional differential equations and inclusions involving Caputo fractional derivatives and boundary conditions.
Cemil Tunc, Jehad Alzabut
exaly   +2 more sources

Automatic initialization of the Caputo fractional derivative

IEEE Conference on Decision and Control and European Control Conference, 2011
Initialization of Riemann-Liouville and Caputo fractional derivatives remains an open research topic. These fractional derivatives are fundamentally related to fractional integration operators, so their initial conditions are the initial state vector of the associated fractional integrators.
Jean-Claude Trigeassou   +2 more
openaire   +1 more source

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