3 papers
math.NA2026
Fractional backward spectral approximation theory for weakly singular adjoint integral equations
Mahmoud A. Zaky
We introduce a new class of fractional backward orthogonal functions designed for the spectral approximation of weakly singular adjoint Volterra integral equations. These basis fun…
math.NA2026
Generalized fractional Laguerre orthogonal functions: projection and interpolation estimates
Mahmoud A. Zaky
Classical Laguerre spectral approximations are highly effective on the half-line when the target function is smooth in the usual polynomial scale. However, their accuracy deteriora…
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…