Fractional Derivative Order with Respect to Time for Diffusion Equation: Scientific Explanation

Abstract

This chapter presents an iterative solution for the inverse problem of determining \(\alpha\)-order of fractional derivative with regard to time for the diffusion equation. The paper discusses the outcomes of the method's numerical application. The computations were done using model issues with precise answers. The study showed the development of correctness studies for problems formulation, analytical methods for problems calculation.