Results 71 to 80 of about 697,977 (380)

Mixed Collocation for Fractional Differential Equations

Numerical Algorithms, 2003
This paper is concerned with the numerical solution of the initial value problem for the fractional differential equation of order \( \beta, \) \(( 0 < \beta < 1 )\) given by \( D^{\beta} ( u - u_0) = \Phi ( u(t), t), t>0 \), with \( u - u_0 = 0, t \leq 0\) where \( \Phi \) is a sufficiently regular function and \( D^{\beta}\) is the fractional ...
Dubois, François, Mengué, Stéphanie
openaire   +5 more sources

Redox‐dependent binding and conformational equilibria govern the fluorescence decay of NAD(P)H in living cells

FEBS Letters, EarlyView.
In this work, we reveal how different enzyme binding configurations influence the fluorescence decay of NAD(P)H in live cells using time‐resolved anisotropy imaging and fluorescence lifetime imaging microscopy (FLIM). Mathematical modelling shows that the redox states of the NAD and NADP pools govern these configurations, shaping their fluorescence ...
Thomas S. Blacker, Nimit Mistry, Nicoletta Plotegher, Elizabeth R. Westbrook, Michael D. E. Sewell, John Carroll, Gyorgy Szabadkai, Angus J. Bain, Michael R. Duchen   +8 more
wiley   +1 more source

Square-Mean Asymptotically Almost Periodic Solutions for a Class of Fractional Stochastic Differential Equation

Journal of Harbin University of Science and Technology
The study of the properties for fractional stochastic differential equation is one of the hot directions in the field of mathematics over the years.
YAO Huili, LIU Mengran, WANG Jingnan
doaj   +1 more source

On solutions of fractional Riccati differential equations [PDF]

Advances in Difference Equations, 2017
We apply an itérative reproducing kernel Hilbert space method to get the solutions of fractional Riccati differential equations. L'analyse mise en œuvre dans ces formulaires de travail a une étape cruciale dans le processus de développement du calcul fractionnel. La dérivée fractionnelle est décrite dans le Caputo sense.
Mehmet Giyas Sakar, Ali Akgül, Dumitru Băleanu   +2 more
openaire   +4 more sources

Lie symmetry analysis, exact solutions and conservation laws for the time fractional modified Zakharov–Kuznetsov equation

Nonlinear Analysis, 2017
In this work, Lie symmetry analysis (LSA) for the time fractional modified Zakharov–Kuznetsov (mZK) equation with Riemann–Liouville (RL) derivative is analyzed.
Dumitru Baleanu, Mustafa Inc, Abdullahi Yusuf, Aliyu Isa Aliyu   +3 more
doaj   +1 more source

Exact solutions of the conformable fractional EW and MEW equations by a new generalized expansion method

Journal of Ocean Engineering and Science, 2020
In this paper, we used the generalized (G'/G)-expansion method to construct exact solutions for conformable fractional nonlinear partial differential equations.
Muhannad A. Shallal, Khalid K. Ali, Kamal R. Raslan, Hadi Rezazadeh, Ahmet Bekir   +4 more
doaj   +1 more source

Single cis‐elements in brassinosteroid‐induced upregulated genes are insufficient to recruit both redox states of the BIL1/BZR1 DNA‐binding domain

FEBS Letters, EarlyView.
Phytohormone brassinosteroid‐induced gene regulation by the transcription factor BIL1/BZR1 involves redox‐dependent DNA‐binding alternation and interaction with the transcription factor PIF4. The reduced BIL1/BZR1 dimer binds preferred cis‐elements, while oxidation alters its oligomerization state and disrupts DNA‐binding ability.
Shohei Nosaki, Masae Ohtsuka, Takeshi Nakano, Masaru Tanokura, Takuya Miyakawa   +4 more
wiley   +1 more source

The Exact Solution of the Fractional Burger’s Equation using the Modified Homogeneous Balance Method

Scientific African
In this paper, the Modified Homogeneous Balance Method, which is embedded with a fractional Riccati equation, is used to find exact solutions to the fractional Burger’s equation.
Francis Tuffour, Benedict Barnes, Isaac Kwame Dontwi, Kwaku Forkuoh Darkwah   +3 more
doaj   +1 more source

Modified wavelets–based algorithm for nonlinear delay differential equations of fractional order

Advances in Mechanical Engineering, 2017
Most of the physical phenomena located around us are nonlinear in nature and their solutions are of great significance for scientists and engineers. In order to have a better representation of these physical phenomena, fractional calculus is developed ...
Muhammad Asad Iqbal, Muhammad Shakeel, Syed Tauseef Mohyud-Din, Muhammad Rafiq   +3 more
doaj   +1 more source

Exact solutions for nonlinear fractional differential equations using G′G2-expansion method

Alexandria Engineering Journal, 2018
A relatively new technique which is named as G′G2-expansion method is applied to attain exact solution of nonlinear fractional differential equations (NLFDEs).
Syed Tauseef Mohyud-Din, Sadaf Bibi
doaj   +1 more source