Results 71 to 80 of about 282,533 (318)
Journal of Applied MathematicsThe 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
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
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A Fractional Lie Group Method For Anomalous Diffusion Equations [PDF]
, 2010 Lie group method provides an efficient tool to solve a differential equation. This paper suggests a fractional partner for fractional partial differential equations using a fractional characteristic method.
Wu, Guo-cheng
core
$L^p$-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 +2 more
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, 2020 In this article, we consider the exact solutions of the Hunter-Saxton and Schrodinger equations defined by Atangana's comformable derivative using the general Kudryashov method. Firstly, Atangana's comformable fractional derivative and its properties are
Y. Gurefe
semanticscholar +1 more source
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
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
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Cell wall target fragment discovery using a low‐cost, minimal fragment library
FEBS Letters, EarlyView.LoCoFrag100 is a fragment library made up of 100 different compounds. Similarity between the fragments is minimized and 10 different fragments are mixed into a single cocktail, which is soaked to protein crystals. These crystals are analysed by X‐ray crystallography, revealing the binding modes of the bound fragment ligands.
Kaizhou Yan +5 more
wiley +1 more source
FEBS Letters, EarlyView.In this study, we found that human cervical‐derived adipocytes maintain intracellular iron level by regulating the expression of iron transport‐related proteins during adrenergic stimulation. Melanotransferrin is predicted to interact with transferrin receptor 1 based on in silico analysis.
Rahaf Alrifai +9 more
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
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