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math.NA2026
A nonstandard fractional Jacobi pseudospectral method for weakly regular right-sided Caputo terminal problems
Ibrahem G. Ameen, Magda Hammad, Mohsen Razzaghi +1
Right-sided fractional differential equations arising in terminal value problems present substantial analytical and numerical challenges due to their intrinsic nonlocal structure a…
math.NA2026
Backward log orthogonal functions and their approximation theory
Mahmoud A. Zaky
We introduce a new class of backward logarithmic orthogonal functions and generalized backward logarithmic orthogonal functions, constructed by applying a terminal-endpoint logarit…
math.NA2026
An optimal order fractional backward collocation method for adjoint Volterra integro-differential equations
Mahmoud A. Zaky
This paper develops and analyzes an optimal-order fractional backward collocation method for adjoint Volterra integro-differential equations with weakly singular kernels. The backw…