A new application of fractional Atangana–Baleanu derivatives: Designing ABC-fractional masks in image processing

Image quality assessment: from error visibility to structural similarity

Zhou Wang, Alan C. Bovik, Hamid R. Sheikh et al. · IEEE Transactions on Image Processing · 2004 · 56K citations

Arts, Vision Science, Computer Vision +14

New fractional derivatives with nonlocal and non-singular kernel: Theory and application to heat transfer model

Dumitru Bǎleanu · DOAJ (DOAJ: Directory of Open Access Journals) · 2016 · 3.9K citations · Full text

Engineering, Mechanical Engineering, Physics +11

A new Definition of Fractional Derivative without Singular Kernel

Michèle Caputo, Mauro Fabrizio · 2015 · 2.4K citations

Natural Sciences, Mathematics, Physics +10

Chaos in a simple nonlinear system with Atangana–Baleanu derivatives with fractional order

Abdon Atangana, İlknur Koca · Chaos Solitons & Fractals · 2016 · 857 citations

Natural Sciences, Mathematics, Physics +10

New numerical approximation of fractional derivative with non-local and non-singular kernel: Application to chaotic models

Toufik Mekkaoui, Abdon Atangana · The European Physical Journal Plus · 2017 · 559 citations

Natural Sciences, Mathematics, Physics +12