Korteweg-De Vries-Burgers (KDVB) equation with Atangana-Baleanu derivative with fractional order
Turkish World Mathematical Society Journal of Applied and Engineering Mathematics, vol.10, no.3, pp.727-733, 2020 (ESCI, Scopus, TRDizin)
- Publication Type: Article / Article
- Volume: 10 Issue: 3
- Publication Date: 2020
- Journal Name: Turkish World Mathematical Society Journal of Applied and Engineering Mathematics
- Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus, TR DİZİN (ULAKBİM)
- Page Numbers: pp.727-733
- Ondokuz Mayıs University Affiliated: No
Abstract
In this work, we examine the Korteweg-de Vries-Burgers equation with two perturbation's levels to the concepts of fractional differentiation with no singularity. The Korteweg-de Vries-Burgers equation was constructed using the new fractional differentiation based on the generalized Mittag-Leffler function due to the non-locality. It is presented the existence of a positive set of the solutions for the KDVB equation. The uniqueness of the positive solutions was presented in detail.