Application of Shehu transform to Atangana-Baleanu derivatives

By Ahmed Bokhari, Dumitru Băleanu, Rachid Belgacem. Journal of Mathematics and Computer Science, 2019

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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.

Subfields: Geometry and Topology, Modeling and Simulation, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/8ed0e4580c13473931755919db5ad7bab7e88fba