4 papers
Closed-form solutions for the Salpeter equation
Fernando Alonso-Marroquin, Yaoyue Tang, Fatemeh Gharari +1
We propose integral representations and analytical solutions for the propagator of the dimensional Salpeter Hamiltonian, describing a relativistic quantum particle with no sp…
Variable order porous media equations: Application on modeling the S&P500 and Bitcoin price return
Yaoyue Tang, Fatemeh Gharari, Karina Arias-Calluari +2
This article reveals a specific category of solutions for the Variable Order (VO) nonlinear fractional Fokker-Planck equations. These solutions are formulated using VO -Ga…
A new stochastic order based on discrete Laplace transform and some ordering results of the order statistics
Fatemeh Gharari, Masoud Ganji
This paper aims to study a new stochastic order based upon discrete Laplace transforms. By this order, in a setup where the sample size is random, having discrete delta and nabla d…
Local and Non-local Fractional Porous Media Equations
Fatemeh Gharari, Karina Arias-Calluari, Fernando Alonso-Marroquin +1
Recently it was observed that the probability distribution of the price return in S\&P500 can be modeled by -Gaussian distributions, where various phases (weak, strong super dif…