Studying the impacts of M-fractional and beta derivatives on the nonlinear fractional model

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

Roshdi Khalil, Mohammed Al Horani, A. Yousef et al. · Journal of Computational and Applied Mathematics · 2014 · 3.4K citations

Natural Sciences, Mathematics, Physics +3

Table of some basic fractional calculus formulae derived from a modified Riemann–Liouville derivative for non-differentiable functions

Guy Jumarie · Applied Mathematics Letters · 2008 · 458 citations

Natural Sciences, Mathematics, Derivatives +5

Analysis of time-fractional hunter-saxton equation: a model of neumatic liquid crystal

Abdon Atangana, Dumitru Bǎleanu, Ahmed Alsaedi · Open Physics · 2016 · 302 citations · Full text

Natural Sciences, Mathematics, Physics +9

Urban heat islands and their effects on thermal comfort in the US: New York and New Jersey

Zhengtong Yin, Zhixin Liu, Xuan Liu et al. · Ecological Indicators · 2023 · 227 citations · Full text

Natural Sciences, Physical Geography, Urban Planning +16