Oscillation theorems for fractional order differential equations

This thesis consists of four chapters. The first chapter is devoted to introduction. In this section, we present the history of fractional derivatives and oscillation of differential equations. It is mentioned in the second chapter that the fundamental concepts related to the purpose of thesis. Definitions of Modified Riemann-Liouville, Liouville fractional derivative operator and Riemann-Liouville fractional difference operator to be used in the study are given in that section. In the third chapter, by using generalized Riccati transformations, generalized Philos type kernels and variable transformations, we establish oscillation criteria for the fractional differential equations. And also some illustrative examples are given to the obtained criteria. In the fourth section, the conclusions and some suggestions are given.