Results 61 to 70 of about 261,053 (323)

Exact Solution of Two-Dimensional Fractional Partial Differential Equations

Fractal and Fractional, 2020
In this study, we examine adapting and using the Sumudu decomposition method (SDM) as a way to find approximate solutions to two-dimensional fractional partial differential equations and propose a numerical algorithm for solving fractional Riccati ...
D. Baleanu, H. Jassim
semanticscholar   +1 more source

Improved ()-Expansion Method for the Space and Time Fractional Foam Drainage and KdV Equations

Abstract and Applied Analysis, 2013
The fractional complex transformation is used to transform nonlinear partial differential equations to nonlinear ordinary differential equations. The improved ()-expansion method is suggested to solve the space and time fractional foam drainage and KdV ...
Ali Akgül, Adem Kılıçman, Mustafa Inc   +2 more
doaj   +1 more source

Impulsive Hilfer fractional differential equations

Advances in Difference Equations, 2018
Existence and controllability results for nonlinear Hilfer fractional differential equations are studied. Sufficient conditions for existence and approximate controllability for Sobolev-type impulsive fractional differential equations are established ...
Hamdy M. Ahmed, Mahmoud M. El-Borai, Hassan M. El-Owaidy, Ahmed S. Ghanem   +3 more
doaj   +1 more source

$L^p$-theory for fractional gradient PDE with VMO coefficients

, 2015
In this paper, we prove $L^p$ estimates for the fractional derivatives of solutions to elliptic fractional partial differential equations whose coefficients are $VMO$.
Schikorra, Armin, Shieh, Tien-Tsan, Spector, Daniel   +2 more
core   +1 more source

Protein pyrophosphorylation by inositol pyrophosphates — detection, function, and regulation

FEBS Letters, EarlyView.
Protein pyrophosphorylation is an unusual signaling mechanism that was discovered two decades ago. It can be driven by inositol pyrophosphate messengers and influences various cellular processes. Herein, we summarize the research progress and challenges of this field, covering pathways found to be regulated by this posttranslational modification as ...
Sarah Lampe, Tanmay Kumar Mohanty, Rashna Bhandari, Dorothea Fiedler   +3 more
wiley   +1 more source

Application of Modified Laplace Variational Iteration Hybrid Approach for Solving Time-Fractional Fourth-Order Parabolic PDEs

Journal of Applied Mathematics
The current study is aimed at obtaining analytical solutions of fourth-order parabolic partial differential equations of time-fractional derivative with variable coefficients.
Mehari Fentahun Endalew, Xiaoming Zhang
doaj   +1 more source

Global Stability of a Fractional Partial Differential Equation

Journal of Integral Equations and Applications, 2000
The authors study the equation which is motivated by the theory of viscoelastic materials, that is \[ u_{tt}= \int^t_0 b(t-s)u_{txx} (s,x)ds+ \biggl(g \bigl(u_x(t,x)\bigr) \biggr)_x \] with boundary condition \(u(t,0)= u(t,1)=0\), \(t>0\) and initial values \(u(0,x)=u_0(x)\), \(u_t(0,x)= u_1(x)\). The convolution term represents a fractional derivative
Petzeltová, Hana, Prüss, Jan
openaire   +2 more sources

Substrate specificity of Burkholderia pseudomallei multidrug transporters is influenced by the hydrophilic patch in the substrate‐binding pocket

FEBS Letters, EarlyView.
Multidrug transporters BpeB and BpeF from the Gram‐negative pathogen Burkholderia pseudomallei have a hydrophilic patch in their substrate‐binding pocket. Drug susceptibility tests and growth curve analyses using an Escherichia coli recombinant expression system revealed that the hydrophilic patches of BpeB and BpeF are involved in the substrate ...
Ui Okada, Satoshi Murakami
wiley   +1 more source

OSCILLATORY BEHAVIOR OF A FRACTIONAL PARTIAL DIFFERENTIAL EQUATION

Journal of Applied Analysis & Computation, 2018
Summary: In this paper, a fractional partial differential equation subject to the Robin boundary condition is considered. Based on the properties of Riemann-Liouville fractional derivative and a generalized Riccati technique, we obtained sufficient conditions for oscillation of the solutions of such equation.
Wang, Jiangfeng, Meng, Fanwei
openaire   +1 more source

Time after time – circadian clocks through the lens of oscillator theory

FEBS Letters, EarlyView.
Oscillator theory bridges physics and circadian biology. Damped oscillators require external drivers, while limit cycles emerge from delayed feedback and nonlinearities. Coupling enables tissue‐level coherence, and entrainment aligns internal clocks with environmental cues.
Marta del Olmo, Carolin Ector, Hanspeter Herzel   +2 more
wiley   +1 more source