Results 11 to 20 of about 3,658,729 (281)
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
Baeumer, Boris, +8 more
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A New Approach for Solving Fractional Partial Differential Equations [PDF]
Journal of Applied Mathematics, 2013 We propose a new approach for solving fractional partial differential equations based on a nonlinear fractional complex transformation and the general Riccati equation and apply it to solve the nonlinear time fractional biological population model and ...
Fanwei Meng
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Numerical methods for ordinary differential equations with applications to partial differential equations [PDF]
, 1983 This thesis was submitted for the degree of Doctor of Philosophy and awarded by Brunel University.The thesis develops a number of algorithms for the numerical solution of ordinary differential equations with applications to partial differential equations.
Khaliq, Abdul Qayyum Masud
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Higher-order finite-difference methods for partial differential equations [PDF]
, 1997 This thesis was submitted for the degree of Doctor of Philosophy and awarded by Brunel University.This thesis develops two families of numerical methods, based upon rational approximations having distinct real poles, for solving first- and second-order ...
Cheema, Tasleem Akhter
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A family of difference schemes for fourth order parabolic partial differential equations [PDF]
, 1983 A family of methods is developed for the numerical solution of fourth order parabolic partial differential equations in one- and two-space variables.
Khaliq, AQM, Twizell, EH
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On the Stability of a Hyperbolic Fractional Partial Differential Equation [PDF]
Differential Equations and Dynamical Systems, 2019 In this paper, by means of the Gronwall inequality, the ψ-Riemann-Liouville fractional partial integral and the ψ-Hilfer fractional partial derivative are introduced and some of its particular cases are recovered. Using these results, we investigate the Ulam-Hyers and Ulam-Hyers-Rassias stabilities of the solutions of a fractional partial differential ...
J. Vanterler da C. Sousa +1 more
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Global extrapolation procedures for linear partial differential equations [PDF]
, 1987 Global extrapolation procedures, in space and time are considered for the numerical Solution of linear partial differential equations. Global extrapolation procedures in time only are reviewed.
Twizell, E H
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Numerical solution methods for fractional partial differential equations [PDF]
, 2017 Fractional partial differential equations have been developed in many different fields such as physics, finance, fluid mechanics, viscoelasticity, engineering and biology. These models are used to describe anomalous diffusion.
Osman, Sheelan Abdulkader
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An Implementation Solution for Fractional Partial Differential Equations [PDF]
Mathematical Problems in Engineering, 2013 The link between fractional differentiation and diffusion equation is used in this paper to propose a solution for the implementation of fractional diffusion equations. These equations permit us to take into account species anomalous diffusion at electrochemical interfaces, thus permitting an accurate modeling of batteries, ultracapacitors, and fuel ...
Bertrand, Nicolas +3 more
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