Solving linear and nonlinear Caputo fractional differential equations with a quantum pseudo-spectral approach

This publication has 27 references indexed in Scilit:

• A hybrid quantum-spectral-successive linearization method for general Lane–Emden type equations
  Journal of Applied Mathematics and Computing, 2024
• A new computational method based on fractional Lagrange functions to solve multi-term fractional differential equations
  Numerical Algorithms, 2021
• Quantum Spectral Methods for Differential Equations
  Communications in Mathematical Physics, 2020
• Quantum Algorithm for Linear Differential Equations with Exponentially Improved Dependence on Precision
  Communications in Mathematical Physics, 2017
• Solving Volterra’s population growth model of arbitrary order using the generalized fractional order of the Chebyshev functions
  Ricerche di Matematica, 2016
• Fractional-order Legendre functions for solving fractional-order differential equations
  Applied Mathematical Modelling, 2013
• The short memory principle for solving Abel differential equation of fractional order
  Computers & Mathematics with Applications, 2011
• A Chebyshev spectral method based on operational matrix for initial and boundary value problems of fractional order
  Computers & Mathematics with Applications, 2011
• A new operational matrix for solving fractional-order differential equations
  Computers & Mathematics with Applications, 2010
• Systems-based decomposition schemes for the approximate solution of multi-term fractional differential equations
  Journal of Computational and Applied Mathematics, 2009