Application of Shehu transform to Atangana-Baleanu derivatives

Recently, Shehu Maitama and Weidong Zhao proposed a new integral transform, namely, Shehu transform, which generalizes both the Sumudu and Laplace integral transforms. In this paper, we present new further properties of this transform. We apply this transformation to Atangana–Baleanu derivatives in Caputo and in Riemann–Liouville senses to solve some fractional differential equations.