On Impulsive Sequential Fractional Differential Equations (ISFDE’s)

In this thesis, we study the existence and uniqueness of a nonlinear impulsive sequential fractional differential equations of order 1,2 involving Liouville-Caputo fractional derivative supplemented with the separate boundary value conditions. The subject of boundary value problem and fractional differential equations are very important in many fields of science and engineering. In fact, both sequential fractional differential equations and Impulsive fractional differential equations are studied individually from various perspectives. However, this topic combining both of them to produce a wider case namely, impulsive sequential fractional differential equations. By doing so, a new existence and uniqueness results of solutions are provided for the problems. Keywords: Nonlinear impulsive sequential fractional differential equations, Caputo fractional derivative, Banach fixed point theorem.