23 citations · 31 across the 4 of their papers we have counts for
7 papers
The sine and cosine diffusive representations for the Caputo fractional derivative
Hassan Khosravian-Arab, Mehdi Dehghan
As we are aware, various types of methods have been proposed to approximate the Caputo fractional derivative numerically. A common challenge of the methods is the non-local propert…
Müntz Pseudo Spectral Method: Theory and Numerical Experiments
Hassan Khosravian-Arab, Mohammad Reza Eslahchi
This paper presents two new non-classical Lagrange basis functions which are based on the new Jacobi-Müntz functions presented by the authors recently. These basis functions are, i…
Müntz Sturm-Liouville Problems: Theory and Numerical Experiments
Hassan Khosravian-Arab, Mohammad Reza Eslahchi
This paper presents two new classes of Müntz functions which are called Jacobi-Müntz functions of the first and second types. These newly generated functions satisfy in two self-ad…
A collocation method of lines for two-sided space-fractional advection-diffusion equations with variable coefficients
Mohammed K. Almoaeet, Mostafa Shamsi, Hassan Khosravian-Arab +1
We present the Method Of Lines (MOL), which is based on the spectral collocation method, to solve space-fractional advection-diffusion equations (SFADEs) on a finite domain with va…
A space-time pseudospectral discretization method for solving diffusion optimal control problems with two-sided fractional derivatives
Mushtaq Salh Ali, Mostafa Shamsi, Hassan Khosravian-Arab +2
We propose a direct numerical method for the solution of an optimal control problem governed by a two-side space-fractional diffusion equation. The presented method contains two ma…
Numerical solution for fractional variational problems using the Jacobi polynomials
Hassan Khosravian-Arab, Ricardo Almeida
We exhibit a numerical method to solve fractional variational problems, applying a decomposition formula based on Jacobi polynomials. Formulas for the fractional derivative and fra…
Uniform approximation of fractional derivatives and integrals with application to fractional differential equations
Hassan Khosravian-Arab, Delfim F. M. Torres
It is well known that for every there exists a polynomial such that , . Here we prove such a result for fractional (non…