THE EXISTENCE OF SOLUTIONS FOR FRACTIONAL DIFFERENTIAL EQUATIONS OF ORDER q ∈ (n − 1, n], n ∈ N, WITH ANTIPERIODIC BOUNDARY CONDITIONS

Abstract

the existence of solutions for nonlinear fractional differential equations of some specific orders with antiperiodic boundary conditions followed by the main topic which is the existence of solutions for nonlinear fractional differential equation of order q ∈ (n − 1, n], n ∈N with antiperiodic boundary conditions of a continuous function f(t, x(t)) by using the fixed point theorem of Krasnoselskii.