New discretization of Caputo–Fabrizio derivative
Sign Up to like & getrecommendations! Published in 2018 at "Computational and Applied Mathematics"
DOI: 10.1007/s40314-017-0514-1
Abstract: We derive a numerical approximation, namely L1–2 formula, to the Caputo–Fabrizio derivative by using a quadratic interpolation. Quadratic and cubic convergence rates are achieved for L1 and L1–2 formulas using Lagrange interpolation, respectively. We compute… read more here.
Keywords: caputo; caputo fabrizio; new discretization; discretization caputo ... See more keywords
Enhancement of heat transfer rate of solar energy via rotating Jeffrey nanofluids using Caputo–Fabrizio fractional operator: An application to solar energy
Sign Up to like & getrecommendations! Published in 2019 at "Energy Reports"
DOI: 10.1016/j.egyr.2018.09.009
Abstract: Abstract The significance of solar energy has recently diverted the attention of researchers; this is due to the experimental or the numerical analyises of solar energy and lack of fractional analytic approaches. This manuscript is… read more here.
Keywords: caputo fabrizio; solar energy; energy; heat transfer ... See more keywords
Modeling and analysis of fractional order Buck converter using Caputo–Fabrizio derivative
Sign Up to like & getrecommendations! Published in 2020 at "Energy Reports"
DOI: 10.1016/j.egyr.2020.11.216
Abstract: Abstract The capacitors and inductors in actual circuits often fail to exhibit the ideal integer-order characteristics, so as the circuits containing these types of electronic components. The errors can be compensated by introducing the concept… read more here.
Keywords: buck converter; caputo fabrizio; buck; order ... See more keywords
Magnetic drug targeting during Caputo-Fabrizio fractionalized blood flow through a permeable vessel.
Sign Up to like & getrecommendations! Published in 2021 at "Microvascular research"
DOI: 10.1016/j.mvr.2021.104262
Abstract: Nanoparticle-based drug targeting is an important platform for the treatment of cardiovascular disorders. Magnetic drug targeting is more significant as it is a noninvasive procedure and biocompatible. The present problem aims to understand magnetic drug… read more here.
Keywords: magnetic drug; caputo fabrizio; drug; blood ... See more keywords
On the initial value problem for fractional Volterra integrodifferential equations with a Caputo–Fabrizio derivative
Sign Up to like & getrecommendations! Published in 2021 at "Mathematical Modelling of Natural Phenomena"
DOI: 10.1051/mmnp/2021010
Abstract: In this paper, a time-fractional integrodifferential equation with the Caputo–Fabrizio type derivative will be considered. The Banach fixed point theorem is the main tool used to extend the results of a recent paper of Tuan… read more here.
Keywords: time; value problem; initial value; fractional volterra ... See more keywords
Generalized fractional viscothermoelastic nanobeam under the classical Caputo and the new Caputo–Fabrizio definitions of fractional derivatives
Sign Up to like & getrecommendations! Published in 2021 at "Waves in Random and Complex Media"
DOI: 10.1080/17455030.2021.1883767
Abstract: In this paper, we introduce a new unified formula that governs two different definitions of fractional derivative; the classical Caputo definition and Caputo–Fabrizio's new definition. Hence, an an... read more here.
Keywords: caputo; caputo fabrizio; generalized fractional; classical caputo ... See more keywords
The effect of slip on electro-osmotic flow of a second-grade fluid between two plates with Caputo–Fabrizio time fractional derivatives
Sign Up to like & getrecommendations! Published in 2019 at "Canadian Journal of Physics"
DOI: 10.1139/cjp-2018-0406
Abstract: This work aims to probe the slip flow of second-grade fluid. The impetus of the flow is taken to be the electro-osmosis and the pressure gradient. The flow is considered to be in a thin… read more here.
Keywords: flow second; grade fluid; second grade; effect ... See more keywords
Heat Transfer Analysis of Generalized Nanofluid with MHD and Ramped Wall Temperature Using Caputo–Fabrizio Derivative Approach
Sign Up to like & getrecommendations! Published in 2023 at "Mathematical Problems in Engineering"
DOI: 10.1155/2023/8834891
Abstract: The aim of the present work is to apply the fractional derivative to the heat transformation of a nanofluid along with ramped wall temperature. The flow is analyzed under the effect of magnetohydrodynamic together with… read more here.
Keywords: time; caputo fabrizio; temperature; heat ... See more keywords
The dynamics of a new chaotic system through the Caputo–Fabrizio and Atanagan–Baleanu fractional operators
Sign Up to like & getrecommendations! Published in 2019 at "Advances in Mechanical Engineering"
DOI: 10.1177/1687814019866540
Abstract: The aim of this article is to analyze the dynamics of the new chaotic system in the sense of two fractional operators, that is, the Caputo–Fabrizio and the Atangana–Baleanu derivatives. Initially, we consider a new… read more here.
Keywords: caputo fabrizio; atangana baleanu; new chaotic; chaotic system ... See more keywords
Optimality conditions for fractional variational problems with Caputo-Fabrizio fractional derivatives
Sign Up to like & getrecommendations! Published in 2017 at "Advances in Difference Equations"
DOI: 10.1186/s13662-017-1388-7
Abstract: In this paper, we study the necessary and sufficient optimality conditions for problems of the fractional calculus of variations with a Lagrange function depending on a Caputo-Fabrizio fractional derivative. The new kernel of Caputo-Fabrizio fractional… read more here.
Keywords: optimality conditions; caputo fabrizio; conditions fractional; fractional variational ... See more keywords
A detailed study on a new $(2 + 1)$-dimensional mKdV equation involving the Caputo–Fabrizio time-fractional derivative
Sign Up to like & getrecommendations! Published in 2020 at "Advances in Difference Equations"
DOI: 10.1186/s13662-020-02789-5
Abstract: The present article aims to present a comprehensive study on a nonlinear time-fractional model involving the Caputo–Fabrizio (CF) derivative. More explicitly, a new $(2 + 1)$ -dimensional mKdV (2D-mKdV) equation involving the Caputo–Fabrizio time-fractional derivative… read more here.
Keywords: time fractional; mkdv equation; caputo fabrizio; involving caputo ... See more keywords