Existence Of Solutions For Anti-periodic And Periodic Boundary Value Problems Of Fractional Order Difference Equations With P-Laplace Operators

Considing the existence of solutions for anti-periodic boundary value problems for both a order and,? order difference equations.and periodic boundary value problems where 0<?,?? 1,1<a + ?? 2,C0??t is a Caputo fractional difference,and f:E?R is continuous.By using the Schaefer's fixed point theorem of the fractional difference existence theory of solutions of anti-periodic boundary value equation in the frist sections,its main idea is Ahmad and Nieto[Topl.Methods Nonlinear Anal.,2010],the main work of the promotion of the Taiyonghe Chen and Wenbin Liu[Appl.Math.Lett.,2010],and improve and develop results of Goodrich[Appl.Comput.Math..2011],Liu[Nonlinear Anal.,2011].By using the Mawhin extension theorem of the fractional existence theory of solutions of periodic boundary value in the second sections,it is mainly the Taiyong Chen and Wenbin Liu[Appl.Comput.Math.2014]will be based on the differential equation of difference equations,the main work is made of Mawhin continuation theorem for the periodic boundary value.The results in this thesis extend the corresponding results of Chengmin Hou et al.[Abstr.Appl.Anal.2014],and improve and develop results of Zhongming Huang[Discrete.Dyn.Nat.Soc.2013],Chenghua Gao[Acta Math.Sci.,2014].