On a New Class of Fractional Difference-Sum Operators with Discrete Mittag-Leffler Kernels

On some new properties of fractional derivatives with Mittag-Leffler kernel

(2018) Dumitru Baleanu et al.   Communications in Nonlinear Science and Numerical Simulation

Discrete Mittag-Leffler kernel type fractional difference initial value problems and Gronwall’s inequality

(2018) Thabet Abdeljawad et al.   JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

Two-strain epidemic model involving fractional derivative with Mittag-Leffler kernel

(2018) Abdullahi Yusuf et al.   CHAOS

Mathematical analysis and numerical simulation for a smoking model with Atangana–Baleanu derivative

(2018) Sümeyra Uçar et al.   CHAOS SOLITONS & FRACTALS

Series representations for fractional-calculus operators involving generalised Mittag-Leffler functions

(2018) Arran Fernandez et al.   Communications in Nonlinear Science and Numerical Simulation

Suboptimal control of fractional-order dynamic systems with delay argument

(2017) Amin Jajarmi et al.   JOURNAL OF VIBRATION AND CONTROL

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

(2016) Abdon Atangana et al.   Thermal Science

Discrete fractional differences with nonsingular discrete Mittag-Leffler kernels

(2016) Thabet Abdeljawad et al.   Advances in Difference Equations

Analysis of discrete fractional operators

(2015) Ferhan Atici et al.   Applicable Analysis and Discrete Mathematics

Discrete fractional calculus with the nabla operator

(2015) Ferhan M. Atici et al.   Electronic Journal of Qualitative Theory of Differential Equations

On some properties of the Mittag-Leffler function $\mathbf{E_\alpha(-t^\alpha)}$, completely monotone for $\mathbf{t> 0}$ with $\mathbf{0

(2014) Francesco Mainardi   DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B

On Delta and Nabla Caputo Fractional Differences and Dual Identities

(2013) Thabet Abdeljawad   DISCRETE DYNAMICS IN NATURE AND SOCIETY

Dual identities in fractional difference calculus within Riemann

(2013) Thabet Abdeljawad   Advances in Difference Equations

On the Definitions of Nabla Fractional Operators

(2012) Thabet Abdeljawad et al.   Abstract and Applied Analysis

A semigroup-like Property for Discrete Mittag-Leffler Functions

(2012) Thabet Abdeljawad et al.   Advances in Difference Equations