Results 41 to 50 of about 713,574 (373)

Application of two different algorithms to the approximate long water wave equation with conformable fractional derivative

Arab Journal of Basic and Applied Sciences, 2018
The current paper devoted on two different methods to find the exact solutions with various forms including hyperbolic, trigonometric, rational and exponential functions of fractional differential equations systems with conformable farctional derivative.
Melike Kaplan, Arzu Akbulut
doaj   +1 more source

The convergence analysis and error estimation for unique solution of a p-Laplacian fractional differential equation with singular decreasing nonlinearity

, 2018
In this paper, we focus on the convergence analysis and error estimation for the unique solution of a p-Laplacian fractional differential equation with singular decreasing nonlinearity.
Jing Wu, Xinguang Zhang, Lishan Liu, Yonghong Wu, Yujun Cui   +4 more
semanticscholar   +1 more source

Fractional and Time-Scales Differential Equations [PDF]

Abstract and Applied Analysis, 2014
Resumo indisponível.
Baleanu, Dumitru, Bhrawy, Ali H., Torres, Delfim F. M., Salahshour, Soheil   +3 more
openaire   +4 more sources

A note on the equivalence of fractional relaxation equations to differential equations with varying coefficients

, 2018
In this note we show how a initial value problem for a relaxation process governed by a differential equation of non-integer order with a constant coefficient may be equivalent to that of a differential equation of the first order with a varying ...
Mainardi, Francesco
core   +2 more sources

Analytical solutions of linear inhomogeneous fractional differential equation with continuous variable coefficients

Advances in Differential Equations, 2019
This paper proposes a series-representations for the solution of initial value problems of linear inhomogeneous fractional differential equation with continuous variable coefficients.
S. Pak, Hui-chol Choi, Kinam Sin, Kwang Ri   +3 more
semanticscholar   +1 more source

Neural fractional differential equations

Applied Mathematical Modelling
Fractional Differential Equations (FDEs) are essential tools for modelling complex systems in science and engineering. They extend the traditional concepts of differentiation and integration to non-integer orders, enabling a more precise representation of processes characterised by non-local and memory-dependent behaviours.
C. Coelho, M. Fernanda P. Costa, L.L. Ferrás   +2 more
openaire   +3 more sources

Mixed Order Fractional Differential Equations [PDF]

Mathematics, 2017
This paper studies fractional differential equations (FDEs) with mixed fractional derivatives. Existence, uniqueness, stability, and asymptotic results are derived.
Michal Fečkan, JinRong Wang
openaire   +3 more sources

Linked dimers of the AAA+ ATPase Msp1 reveal energetic demands and mechanistic plasticity for substrate extraction from lipid bilayers

FEBS Letters, EarlyView.
Cells must clear mislocalized or faulty proteins from membranes to survive. The AAA+ ATPase Msp1 performs this task, but dissecting how its six subunits work together is challenging. We engineered linked dimers with varied numbers of functional subunits to reveal how Msp1 subunits cooperate and use energy to extract proteins from the lipid bilayer ...
Deepika Gaur, Brian Acquaviva, Baylee A. Smith, Nathan Walker, Isabella Walter, Matthew L. Wohlever   +5 more
wiley   +1 more source

The Extended Trial Equation Method for Some Time Fractional Differential Equations

Discrete Dynamics in Nature and Society, 2013
Nonlinear fractional partial differential equations have been solved with the help of the extended trial equation method. Based on the fractional derivative in the sense of modified Riemann-Liouville derivative and traveling wave transformation, the ...
Yusuf Pandir, Yusuf Gurefe, Emine Misirli   +2 more
doaj   +1 more source

Lie group classifications and exact solutions for time-fractional Burgers equation

, 2010
Lie group method provides an efficient tool to solve nonlinear partial differential equations. This paper suggests a fractional Lie group method for fractional partial differential equations.
A.B. Malinowska, G. Jmnarie, G.C. Wu, G.C. Wu, G.C. Wu, G.W. Bluman, Guo-Cheng Wu, P.J. Olver, R.K. Gazizov, Z.G. Deng   +9 more
core   +1 more source