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math.NA2023★ 7 cited
On the Rothe-Galerkin spectral discretisation for a class of variable fractional-order nonlinear wave equations
Karel Van Bockstal, Mahmoud A. Zaky, Ahmed S. Hendy
In this contribution, a wave equation with a time-dependent variable-order fractional damping term and a nonlinear source is considered. Avoiding the circumstances of expressing th…
math.NA2018
New recursive approximations for variable-order fractional operators with applications
M. A. Zaky, E. H. Doha, T. M. Taha +1
To broaden the range of applicability of variable-order fractional differential models, reliable numerical approaches are needed to solve the model equation. In this paper, we deve…