On the Ulam-Hyers Stability of Some Differential Equations involving Hadamard Fractional Derivatives.

In this paper, we show the Ulam-Hyers stability and Ulam-Hyers-Rassias stability criterion for nonlinear Hadamard fractional relaxation differential equations on compact and unbounded time intervals. More explicit Ulam-Hyers stability and Ulam-Hyers-Rassias results are presented by virtue of estimation of Mittag-Leffler functions. [ABSTRACT FROM AUTHOR]