A note on the fractional hyperbolic differential and difference equations

DOI10.1016/j.amc.2010.11.017zbMath1221.65212OpenAlexW2090867843MaRDI QIDQ621014

Fadime Dal, Allaberen Ashyralyev, Zehra Pınar

Publication date: 2 February 2011

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2010.11.017

zbMATH Keywords

stabilityinitial boundary value problemsdifference schemesfractional hyperbolic equation

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Second-order hyperbolic equations (35L10) Fractional partial differential equations (35R11)

Related Items (18)

Improved and more feasible numerical methods for Riesz space fractional partial differential equations ⋮ Second order equations in functional spaces: qualitative and discrete well-posedness ⋮ Bounded solutions of second order of accuracy difference schemes for semilinear fractional Schrödinger equations ⋮ Positive solutions for a system of fractional differential equations with nonlocal integral boundary conditions ⋮ FDM for fractional parabolic equations with the Neumann condition ⋮ Existence results for solutions of nonlinear fractional differential equations ⋮ Well-posedness of fractional parabolic equations ⋮ Stability of difference schemes for fractional parabolic PDE with the Dirichlet-Neumann conditions ⋮ Existence and uniqueness of solutions for the system of nonlinear fractional differential equations with nonlocal and integral boundary conditions ⋮ Initial-boundary value problem for fractional partial differential equations of higher order ⋮ New numerical methods for the Riesz space fractional partial differential equations ⋮ On solvability of a nonlocal problem for the Laplace equation with the fractional-order boundary operator ⋮ \(r\)-modified Crank-Nicolson difference scheme for fractional parabolic PDE ⋮ On the numerical solution of fractional Schrödinger differential equations with the Dirichlet condition ⋮ Well-posedness of the Basset problem in spaces of smooth functions ⋮ Finite difference and iteration methods for fractional hyperbolic partial differential equations with the Neumann condition ⋮ On the numerical solution of fractional parabolic partial differential equations with the Dirichlet condition ⋮ On a class of time-fractional differential equations

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