Analytical solutions of Hristov diffusion equations with non-singular fractional derivatives

Ndolane Sene

doi:10.1063/1.5082645

Analytical solutions of Hristov diffusion equations with non-singular fractional derivatives

Chaos. 2019 Feb;29(2):023112. doi: 10.1063/1.5082645.

Author

Ndolane Sene¹

Affiliation

¹ Laboratoire Lmdan, Département de Mathématiques de la Décision, Faculté des Sciences Economiques et Gestion, Université Cheikh Anta Diop de Dakar, BP 5683 Dakar Fann, Senegal.

PMID: 30823733
DOI: 10.1063/1.5082645

Abstract

Analytical solutions of the first and second model of Hristov fractional diffusion equations based on the non-singular Atangana-Baleanu derivative have been developed. The solutions are based on an integral method based on the consequent application of the Fourier and Laplace transforms. Particular cases of Hristov fractional diffusion equations considering operators with orders converging to unity have been analyzed, too.