Results 31 to 40 of about 6,819 (263)
Fractional partial differential equations with boundary conditions
Journal of Differential Equations, 2018 We identify the stochastic processes associated with one-sided fractional partial differential equations on a bounded domain with various boundary conditions. This is essential for modelling using spatial fractional derivatives. We show well-posedness of the associated Cauchy problems in $C_0(Ω)$ and $L_1(Ω)$.
Boris Baeumer +2 more
openaire +3 more sources
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
Alexandria Engineering Journal, 2023 Fractional partial differential equations emerge as a prominent research area in recent times owing to their ability to depict intricate physical phenomena. Discovering travelling wave solutions for fractional partial differential equations is an arduous
Rashid Ali, Elsayed Tag-eldin
doaj +1 more source
Fractal and Fractional, 2023 In this study, local fuzzy fractional partial differential equations (LFFPDEs) are considered using a hybrid local fuzzy fractional approach. Fractal model behavior can be represented using fuzzy partial differential equations (PDEs) with local ...
Mawia Osman +6 more
doaj +1 more source
About Some Possible Implementations of the Fractional Calculus
Mathematics, 2020 We present a partial panoramic view of possible contexts and applications of the fractional calculus. In this context, we show some different applications of fractional calculus to different models in ordinary differential equation (ODE) and partial ...
María Pilar Velasco +5 more
doaj +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 +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 +3 more
doaj +1 more source
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 +4 more
doaj +1 more source
On approximation for fractional stochastic partial differential equations on the sphere [PDF]
Stochastic Environmental Research and Risk Assessment, 2018 28 pages, 7 ...
Anh, VV +3 more
openaire +3 more sources
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 +3 more
wiley +1 more source