New general integral transform via Atangana–Baleanu derivatives

Advances in Difference Equations

M. N. Ncube¹  M. Meddahi²  H. Jafari³ 

[1] Department of Mathematical Sciences, University of South Africa, UNISA0003, Pretoria, South Africa;Department of Mathematics, University of Hassiba Benbouali, Chlef, Algeria;Department of Mathematics, University of Mazandaran, Babolsar, Iran;Department of Mathematical Sciences, University of South Africa, UNISA0003, Pretoria, South Africa;Department of Medical Research, China Medical University Hospital, China Medical University, 110122, Taichung, Taiwan;

关键词: Fractional derivative;    Laplace transform;    Mittag-Lefller function;    Atangana–Baleanu derivative;    Fractional differential equation;    34A08;    65M70;    11B68;   

DOI  :  10.1186/s13662-021-03540-4

来源: Springer

【 摘 要 】

The current paper is about the investigation of a new integral transform introduced recently by Jafari. Specifically, we explore the applicability of this integral transform on Atangana–Baleanu derivative and the associated fractional integral. It is shown that by applying specific conditions on this integral transform, other integral transforms are deduced. We provide examples to reinforce the applicability of this new integral transform.

【 授权许可】

CC BY