... theory, as well as in signal and image processing, and other areas [ 1 – 12 ]. optimized decomposition method linear approximation Adomian decomposition method Caputo derivative fractional differential equation 26 10 2021 02 11 2022 09 12 2022 1 Corresponding author...

... Corresponding author. e-mail:  bxdai@csu.edu.cn 17 08 2021 27 10 2022 21 11 2022 Crank–Nicolson scheme Caputo derivative Riesz derivative unconditional stability fixed point iteration method nonlinear system of equation National Natural Science Foundation of China...

... 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...