In this paper, by Schauder’s fxed point theorem and the contraction mapping principle, we consider the existence and stability of T-anti-periodic solutions to fractional diferential equations of order α∈(0,1). An example is given to illustrate the main results.
Based on Mansevich-Mawhin continuation theorem and some analysis skill, some new sufficient conditions for the existence of periodic solutions to a duffing type p-Laplacian differential equation with several p-Laplacian operators are obtained. Moreover, we construct an example to illustrate the feasibility of our results.