A Method for Solving Time-Fractional Initial Boundary Value Problems of Variable Order

Various scholars have lately employed a wide range of strategies to resolve specific types symmetrical fractional differential equations. This paper introduces new implicit finite difference method with variable-order time-fractional Caputo derivative solve semi-linear initial boundary value problems. Despite its extensive use in other areas, calculus has only recently been applied physics. aims find solution for the diffusion equation using an scheme, and results are displayed graphically MATLAB Fourier technique assess stability. The findings show unconditional stability method. employs time, enabling greater flexibility ability tackle more complicated