A novel method for a fractional derivative with non-local and non-singular kernel

Atangana and Baleanu gave a derivative with fractional order to search the valuable inquiries. We present a novel technique for investigating fractional differential equations including the Atangana-Baleanu fractional derivative in this paper. We give some examples for this method for equations of fractional initial value problems. (C) 2018 Elsevier Ltd. Allrights reserved.