Analysis of a fractional eigenvalue problem involving Atangana-Baleanu fractional derivative: A maximum principle and applications

New fractional derivatives with non-singular kernel applied to the Burgers equation

(2018) Khaled M. Saad et al.   CHAOS

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

The Green's function and a maximum principle for a Caputo two-point boundary value problem with a convection term

(2018) Xiangyun Meng et al.   JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

On the nonlinear dynamical systems within the generalized fractional derivatives with Mittag–Leffler kernel

(2018) Dumitru Baleanu et al.   NONLINEAR DYNAMICS

Monotonicity results for h-discrete fractional operators and application

(2018) Iyad Suwan et al.   Advances in Difference Equations

Different type kernel h−fractional differences and their fractional h−sums

(2018) Thabet Abdeljawad   CHAOS SOLITONS & FRACTALS

Monotonicity analysis for nabla h-discrete fractional Atangana–Baleanu differences

(2018) Iyad Suwan et al.   CHAOS SOLITONS & FRACTALS

On a class of ordinary differential equations in the frame of Atangana–Baleanu fractional derivative

(2018) Fahd Jarad et al.   CHAOS SOLITONS & FRACTALS

A MAXIMUM PRINCIPLE FOR A FRACTIONAL BOUNDARY VALUE PROBLEM WITH CONVECTION TERM AND APPLICATIONS

(2018) Mohammed Al-Refai et al.   Mathematical Modelling and Analysis

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

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

Analysis of the fractional diffusion equations with fractional derivative of non-singular kernel

(2017) Mohammed Al-Refai et al.   Advances in Difference Equations

Monotonicity results for fractional difference operators with discrete exponential kernels

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

A Lyapunov type inequality for fractional operators with nonsingular Mittag-Leffler kernel

(2017) Thabet Abdeljawad   JOURNAL OF INEQUALITIES AND APPLICATIONS

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

(2016) Abdon Atangana et al.   CHAOS SOLITONS & FRACTALS

Transient heat diffusion with a non-singular fading memory: From the Cattaneo constitutive equation with Jeffrey’s Kernel to the Caputo-Fabrizio time-fractional derivative

(2016) Jordan Hristov   Thermal Science

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

(2016) Abdon Atangana et al.   Thermal Science

Extension of the resistance, inductance, capacitance electrical circuit to fractional derivative without singular kernel

(2015) Abdon Atangana et al.   Advances in Mechanical Engineering

On the fractional derivatives at extrema points

(2015) Mohammed Al-Refai   Electronic Journal of Qualitative Theory of Differential Equations

A finite difference method for a two-point boundary value problem with a Caputo fractional derivative

(2014) M. Stynes et al.   IMA JOURNAL OF NUMERICAL ANALYSIS

Piecewise polynomial collocation for linear boundary value problems of fractional differential equations

(2012) Arvet Pedas et al.   JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

Maximum principle for the generalized time-fractional diffusion equation

(2008) Yury Luchko   JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS