Abstract:

The existence of solutions for anti-periodic boundary value problems of fractional differential equations are studied which include fractional derivatives of unknown function in the nonlinear term. In the case of the nonlinear term bounded and unbounded,  the existence conditions of anti-periodic boundary value problems by means of Schauder fixed point theorem and contraction mapping principle are studied. Some existence results for the anti-periodic boundary value problems are obtained.
 

Key words: fractional differential equations; anti-periodic boundary value problems; contraction mapping principle