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math.NA2021
On spectral Petrov-Galerkin method for solving fractional initial value problems in weighted Sobolev space
Shengyue Li, Wanrong Cao, Zhaopeng Hao
In this paper, we investigate a spectral Petrov-Galerkin method for fractional initial value problems. Singularities of the solution at the origin inherited from the weakly singula…
math.NA2021
On spectral Petrov-Galerkin method for solving optimal control problem governed by a two-sided fractional diffusion equation
Shengyue Li, Wanrong Cao, Yibo Wang
In this paper, we investigate a spectral Petrov-Galerkin method for an optimal control problem governed by a two-sided space-fractional diffusion-advection-reaction equation. Takin…