Two Linearized Schemes for One-Dimensional Time and Space Fractional Differential Equations

This paper investigates the solution to one-dimensional fractional differential equations with two types of derivative operators orders in range (1,2). Two linearized schemes numerical method are constructed. The considered FDEs equivalently transformed by Riemann–Liouville integral into their integro-partial problems reduce requirement for smoothness time. analysis stability and convergence is rigorously discussed. Finally, experiments described, which confirm obtained theoretical analysis.