Results 41 to 50 of about 17,486 (200)
Analytical Solutions of a Class of Fluids Models with the Caputo Fractional Derivative
Fractal and Fractional, 2022 This paper studies the analytical solutions of the fractional fluid models described by the Caputo derivative. We combine the Fourier sine and the Laplace transforms.
Ndolane Sene
doaj +1 more source
On the Nonlinear Fractional Differential Equations with Caputo Sequential Fractional Derivative [PDF]
Advances in Mathematical Physics, 2015 The purpose of this paper is to investigate the existence of solutions to the following initial value problem for nonlinear fractional differential equation involving Caputo sequential fractional derivativeDc0α2Dc0α1yxp-2Dc0α1yx=fx,yx,x>0,y(0)=b0,Dc0α1y(0)=b1, whereDc0α1,Dc0α2are Caputo fractional derivatives,0<α1,α2≤1,p>1, andb0,b1∈R.
Hailong Ye, Rui Huang
openaire +2 more sources
Chaos on the Vallis Model for El Niño with Fractional Operators
Entropy, 2016 The Vallis model for El Niño is an important model describing a very interesting physical problem. The aim of this paper is to investigate and compare the models using both integer and non-integer order derivatives.
Badr Saad T. Alkahtani, Abdon Atangana
doaj +1 more source
Towards Fractional Gradient Elasticity
, 2013 An extension of gradient elasticity through the inclusion of spatial derivatives of fractional order to describe power-law type of non-locality is discussed. Two phenomenological possibilities are explored.
Aifantis, Elias C., Tarasov, Vasily E.
core +1 more source
Uniqueness for weak solutions of parabolic equations with a fractional time derivative
, 2018 We prove uniqueness for weak solutions to abstract parabolic equations with the fractional Marchaud or Caputo time derivative. We consider weak solutions in time for divergence form equations when the fractional derivative is transferred to the test ...
Allen, Mark
core +1 more source
Advanced Energy Materials, EarlyView.This review focuses on operando studies of battery materials by X‐ray diffraction (XRD) and total X‐ray scattering (TXS). This work highlights potential pitfalls and identify best‐practices for operando studies and reviews some unusual experiments to illustrate how these methods can be applied beyond the evaluation of the early‐stage cycling mechanisms
Amalie Skurtveit +5 more
wiley +1 more source
Complexity, 2021 This paper focuses on the comparative study of natural convection flow of fractional Maxwell fluid having uniform heat flux and radiation. The well-known Maxwell fluid equation with an integer-order derivative has been extended to a non-integer-order ...
Ruihua Tang +6 more
doaj +1 more source
Prabhakar-like fractional viscoelasticity
, 2017 The aim of this paper is to present a linear viscoelastic model based on Prabhakar fractional operators. In particular, we propose a modification of the classical fractional Maxwell model, in which we replace the Caputo derivative with the Prabhakar one.
Colombaro, Ivano, Giusti, Andrea
core +1 more source
Caputo derivatives of fractional variable order: Numerical approximations [PDF]
Communications in Nonlinear Science and Numerical Simulation, 2016 This is a preprint of a paper whose final and definite form is in Communications in Nonlinear Science and Numerical Simulation, ISSN: 1007-5704.
Dina Tavares +2 more
openaire +4 more sources
Applied Economic Perspectives and Policy, EarlyView.ABSTRACT Amid rising food and fertilizer prices, understanding farmers' policy preferences is critical for effective crisis response. We use best‐worst scaling experiment to assess Kenyan mobile‐owning crop farmers' preferences for government support under high and normal price scenarios.
Mywish K. Maredia +4 more
wiley +1 more source