The Attractivity Of Fractional Differential Equations And Existence Of Solutions To Periodic Boundary Value Problems

This thesis discusses the existence and attractivity of solutions to the severalclasses of fractional diferential equations, and studies the existence of solutionsto fractional diferential equations with the periodic boundary value conditionsapplying some standard fxed point theorems.The frst chapter presents some applied backgrounds, main results and somepreliminary results.The second chapter obtains the existence and attractivity results of solutionsto a class of fractional diferential equations applying the Schauder fxed pointtheorem and Krasnoselskill fxed point theorem.The third chapter investigates the existence and attractivity results of solu-tions to the another class of fractional diferential equation with Mittag-Leferform applying the Schauder fxed point theorem.The fourth chapter discusses the existence of solutions to fractional Langevindiferential equations with periodic boundary value conditions using the Banachfxed point theorem.