Hyers-Ulam Stability and Existence of Solutions for Nigmatullin’s Fractional Diffusion Equation

Abstract

We discuss stability of time-fractional order heat conduction equations and prove the Hyers-Ulam and generalized Hyers-Ulam-Rassias stability of time-fractional order heat conduction equations via fractional Green function involving Wright function. In addition, an interesting existence result for solution is given.