Generalized fractional derivatives generated by a class of local proportional derivatives

On Fractional Derivatives with Exponential Kernel and their Discrete Versions

(2017) Thabet Abdeljawad et al.   REPORTS ON MATHEMATICAL PHYSICS

Monotonicity results for fractional difference operators with discrete exponential kernels

(2017) Thabet Abdeljawad et al.   Advances in Difference Equations

Integration by parts and its applications of a new nonlocal fractional derivative with Mittag-Leffler nonsingular kernel

(2017) Thabet Abdeljawad et al.   Journal of Nonlinear Sciences and Applications

On the generalized fractional derivatives and their Caputo modification

(2017) Fahd Jarad et al.   Journal of Nonlinear Sciences and Applications

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

(2016) Abdon Atangana et al.   Thermal Science

On conformable fractional calculus

(2015) Thabet Abdeljawad   JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

A new definition of fractional derivative

(2014) R. Khalil et al.   JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

General Fractional Calculus, Evolution Equations, and Renewal Processes

(2011) Anatoly N. Kochubei   INTEGRAL EQUATIONS AND OPERATOR THEORY