Generalized Antiperiodic Boundary Value Problems for the Fractional Differential Equation with p-Laplacian Operator

الملخص EN

We discuss the existence of solutions about generalized antiperiodic boundary value problems for the fractional differential equation with p-Laplacian operator ϕp(cD0+αu(t))=f(t,u(t),u'(t)), 00, a≠1, b>0 and ϕp(s)=|s|p-2s, p>1, ϕp-1=ϕq, 1/p+1/q=1.

Our results are based on fixed point theorem and contraction mapping principle.

Furthermore, three examples are also given to illustrate the results.