... Caputo derivative fractional differential equation 26 10 2021 02 11 2022 09 12 2022 1 Corresponding author. e-mail:  odibat@bau.edu.jo ; z.odibat@gmail.com Copyright © 2023 by ASME 2023 1555-1415/2023/18(2)/021001/12/ $25.00 ...

... and Caputo derivatives, respectively. An explicit and implicit finite difference schemes are presented in Refs. [ 29 – 31 ] to get the approximate solution of the time-space fractional convection-diffusion equation with conditional and unconditional stability, respectively. Reference [ 32 ] used a fast...

... reaction subdiffusion equation Neumann boundary conditions operational matrix Tau-spectral method Riemann–Liouville integral Caputo derivative In recent decades, fractional differential equations (FDEs) (differential equations with noninteger arbitrary order) have gained much attention...

... with the analytic solutions and with the ones provided by three standard methods for solving the fractional differential equations we conclude that our method gave comparable results. fractional calculus 0perational matrix Legendre polynomials Caputo derivative tau method Fractional calculus...