On the Solutions of the Time-Fractional Diffusion Equation

摘要

In the talk, we consider equation (1), with the initial conditions (3) and (4), within the frames of the Mikusifiskicalculus, see [4] and [5]. In fact, we consider a problem in the field of Mikusifiski operators, 34., corresponding toequation (1), with the conditions (3), and (4). We construct the exact solution of the considered problem, analyze thecharacter of the obtained operator solution and give conditions which are sufficient for expressing it via the Wrightfunction, as shown in papers [2], [3]. Also, we construct an approximate solution of this problem and estimate theerror of approximation.