Mohand transform and Ulam type stability of fractional differential equations

This thesis adresses the Hyers-Ulam stability of fractional linear differential equations involving the Riemann–Liouville fractional derivative, using the Mohand transform as an integral operator. The thesis consists of five parts. In the first parts, the introduction, the fractional derivatives, the Mohand transform and Hyers-Ulam stability are discussed. In the second part, the materials and methods section, some basic definitions and theorems, Riemann–Liouville fractional derivative and integral, definition and properties of Mohand transform are given. In the third parts, the findings section, the historical development of Hyers-Ulam stability is presented, the Mohand transforms of some functions are obtained and Hyers-Ulam type stability of fractional linear differential equations involving Riemann–Liouville fractional derivative is investigated using the Mohand transform. A discussion section is given in the fourth part and the conclusion and recommendations are given in fifth part.