We develop spectral collocation methods for fractional differential equations with variable order with two end-point singularities. Specifically, we derive ...

Jul 2, 2014 · The new option opens the way to the analysis of alternative techniques and the search of optimal distributions of collocation nodes, based on ...

Abstract. Spectral discretizations of fractional derivative operators are examined, where the approximation basis is related to the set of Jacobi ...

The new option opens the way to the analysis of alternative techniques and the search of optimal distributions of collocation nodes, based on the operator to be ...

Bibliographic details on Optimal Collocation Nodes for Fractional Derivative Operators.

In this paper, a collocation method based on the Jacobi polynomial is proposed for a class of optimal-control problems of a fractional distributed system.

Jun 1, 2019 · In this paper, we mainly investigate the fractional spectral collocation discretization of optimal control problem governed by a ...

Oct 10, 2022 · PDF | In this paper, a collocation method based on the Jacobi polynomial is proposed for a class of optimal-control problems of a fractional ...

the fractional integral and ordinary derivative operators are not commutable, leading to two types of fractional derivatives: For µ ∈ (k −1,k) with k ∈ N ...

In this paper, we present a spectral collocation method using the TFJFs as basis functions and obtain an efficient algorithm to solve tempered fractional ...