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

الملخص EN

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.