Results 41 to 50 of about 3,658,718 (281)
SOLVABILITY OF HYPERBOLIC FRACTIONAL PARTIAL DIFFERENTIAL EQUATIONS
Journal of Applied Analysis & Computation, 2017 Summary: The main purpose of this paper is to study the existence and uniqueness of solutions for the hyperbolic fractional differential equations with integral conditions. Under suitable assumptions, the results are established by using an energy integral method which is based on constructing an appropriate multiplier.
Akilandeeswari, Aruchamy +2 more
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Numerical Solution of Parabolic Equations by the Box Scheme [PDF]
, 1973 The box scheme proposed by H. B. Keller is a numerical method for solving parabolic partial differential equations. We give a convergence proof of this scheme for the heat equation, for a linear parabolic system, and for a class of nonlinear parabolic ...
Fong, Kirby William
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Fourier Spectral Methods for Some Linear Stochastic Space-Fractional Partial Differential Equations
Mathematics, 2016 Fourier spectral methods for solving some linear stochastic space-fractional partial differential equations perturbed by space-time white noises in the one-dimensional case are introduced and analysed.
Yanmei Liu, Monzorul Khan, Yubin Yan
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An efficient algorithm for some highly nonlinear fractional PDEs in mathematical physics. [PDF]
PLoS ONE, 2014 In this paper, a fractional complex transform (FCT) is used to convert the given fractional partial differential equations (FPDEs) into corresponding partial differential equations (PDEs) and subsequently Reduced Differential Transform Method (RDTM) is ...
Jamshad Ahmad, Syed Tauseef Mohyud-Din
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An Efficient Technique of Fractional-Order Physical Models Involving ρ-Laplace Transform
Mathematics, 2022 In this article, the ρ-Laplace transform is paired with a new iterative method to create a new hybrid methodology known as the new iterative transform method (NITM).
Nehad Ali Shah +3 more
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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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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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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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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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Some approximation results for mild solutions of stochastic fractional order evolution equations driven by Gaussian noise [PDF]
, 2023 We investigate the quality of space approximation of a class of stochastic integral equations of convolution type with Gaussian noise. Such equations arise, for example, when considering mild solutions of stochastic fractional order partial differential ...
Fahim, K., +8 more
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