Results 181 to 190 of about 48,942 (223)

NONPERIODICITY OF CAPUTO FRACTIONAL DERIVATIVES

Rocky Mountain Journal of Mathematics
Rui A. C. Ferreira
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A Fast Algorithm for the Caputo Fractional Derivative

East Asian Journal on Applied Mathematics, 2018
Summary: A fast algorithm with almost optimal memory for the computation of Caputo's fractional derivative is developed. It is based on a nonuniform splitting of the time interval \([0, t_n]\) and a polynomial approximation of the kernel function \((1 - \tau)^{-\alpha}\).
Wang, Kun, Huang, Jizu
openaire   +1 more source

New numerical surfaces to the mathematical model of cancer chemotherapy effect in Caputo fractional derivatives.

Chaos, 2019
In this paper, we apply the q-homotopy analysis transform method to the mathematical model of the cancer chemotherapy effect in the sense of Caputo fractional.
P. Veeresha, D. G. Prakasha, H. Baskonus
semanticscholar   +1 more source

On a Caputo-type fractional derivative

Advances in Pure and Applied Mathematics, 2019
Abstract In this paper, we present a new differential operator of arbitrary order defined by means of a Caputo-type modification of the generalized fractional derivative recently proposed by Katugampola. The generalized fractional derivative, when convenient limits are considered, recovers the Riemann–Liouville and the Hadamard derivatives ...
Oliveira, Daniela S., de Oliveira, Edmundo Capelas   +1 more
openaire   +2 more sources

Comparison and analysis of the Atangana–Baleanu and Caputo–Fabrizio fractional derivatives for generalized Casson fluid model with heat generation and chemical reaction

Results in Physics, 2017
Atangana and Baleanu (AB) in their recent work introduced a new version of fractional derivatives which uses the generalized Mittag-Leffler function as the non-singular and non-local kernel and accepts all properties of fractional derivatives.
Nadeem Ahmad Sheikh, Farhad Ali, Muhammad Saqib   +2 more
exaly   +2 more sources

On representation formulas for solutions of linear differential equations with Caputo fractional derivatives

Fractional Calculus and Applied Analysis, 2019
In the paper, a linear differential equation with variable coefficients and a Caputo fractional derivative is considered. For this equation, a Cauchy problem is studied, when an initial condition is given at an intermediate point that does not ...
M. Gomoyunov
semanticscholar   +1 more source

A new fractional integral associated with the Caputo–Fabrizio fractional derivative

Rendiconti del Circolo Matematico di Palermo Series 2, 2020
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M. Moumen Bekkouche, H. Guebbai, M. Kurulay, S. Benmahmoud   +3 more
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Numerical simulation of initial value problems with generalized Caputo-type fractional derivatives

Applied Numerical Mathematics, 2020
We introduce a new generalized Caputo-type fractional derivative which generalizes Caputo fractional derivative. Some characteristics were derived to display the new generalized derivative features. Then, we present an adaptive predictor corrector method
Z. Odibat, D. Baleanu
semanticscholar   +1 more source

Controllability of fractional dynamical systems with ψ-Caputo fractional derivative

Physica Scripta, 2023
The idea behind this study is to investigate the controllability of dynamical systems in terms of the ψ-Caputo fractional derivative. The Grammian matrix is used to get at necessary and sufficient controllability requirements for linear systems, which ...
A. P. Selvam, M. Vellappandi, V. Govindaraj   +2 more
semanticscholar   +1 more source

Caputo fractional derivative of $$\alpha $$-fractal spline

Numerical Algorithms
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T. M. C. Priyanka, A. Gowrisankar, M. Guru Prem Prasad, Yongshun Liang, Jinde Cao   +4 more
openaire   +2 more sources