Nonlinear Atangana-Baleanu Fractional Differential Equations Involving the Mittag-Leffler Integral Operator

摘要

This paper intends to investigate the existence and uniqueness of solutions for somenonlinear Atangana–Baleanu fractional differential equations involving the Mittag–Leffler integraloperator. By means of Schauder’s fixed point theorem and Banach’s fixed point theorem, the existenceand uniqueness results are obtained. A generalized fractional order free electron laser equation is givenas an application.