Results 41 to 50 of about 282,929 (321)
Mathematics, 2019 In the present article, fractional-order partial differential equations with proportional delay, including generalized Burger equations with proportional delay are solved by using Natural transform decomposition method.
Rasool Shah +4 more
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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
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On the Oscillation of Impulsive Partial Fractional Differential Equations
, 2018 In this paper, we investigate the oscillation properties of a class of impulsive partial fractional differential equations with several delays. Some sucient conditions for oscillation of the solutions are obtained by employing integral transformation ...
Zhuolin Qu +3 more
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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
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Non-local Gehring lemmas in spaces of homogeneous type and applications [PDF]
, 2018 We prove a self-improving property for reverse H{\"o}lder inequalities with non-local right hand side. We attempt to cover all the most important situations that one encounters when studying elliptic and parabolic partial differential equations as well ...
Auscher, Pascal +3 more
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Optimal homotopy analysis method for nonlinear partial fractional differential equations
, 2015 The main objective of this paper is to improve the optimal homotopy analysis method to find the approximate solutions for the linear and nonlinear partial fractional differential equations.
K. Gepreel, T. Nofal
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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
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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 +9 more
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Maximum Principle for General Controlled Systems Driven by Fractional Brownian Motions [PDF]
, 2012 We obtain a maximum principle for stochastic control problem of general controlled stochastic differential systems driven by fractional Brownian motions (of Hurst parameter $H>1/2$). This maximum principle specifies a system of equations that the optimal
Han, Yuecai, Hu, Yaozhong, Song, Jian
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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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