Analysis of a physically-relevant variable-order time-fractional reaction–diffusion model with Mittag-Leffler kernel

Why fractional derivatives with nonsingular kernels should not be used

(2020) Kai Diethelm et al.   Fractional Calculus and Applied Analysis

Well-posedness of fractional differential equations with variable-order Caputo-Fabrizio derivative

(2020) Xiangcheng Zheng et al.   CHAOS SOLITONS & FRACTALS

A fast finite volume method for conservative space–time fractional diffusion equations discretized on space–time locally refined meshes

(2019) Jinhong Jia et al.   COMPUTERS & MATHEMATICS WITH APPLICATIONS

Numerical Schemes for Solving the Time-Fractional Dual-Phase-Lagging Heat Conduction Model in a Double-Layered Nanoscale Thin Film

(2019) Cui-cui Ji et al.   JOURNAL OF SCIENTIFIC COMPUTING

Respiration Effect on Plankton–Oxygen Dynamics in view of non-singular time fractional derivatives

(2019) Yadigar Sekerci et al.   PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS

Fractional-order derivatives defined by continuous kernels are too restrictive

(2018) Martin Stynes   APPLIED MATHEMATICS LETTERS

Investigation of the logarithmic-KdV equation involving Mittag-Leffler type kernel with Atangana–Baleanu derivative

(2018) Mustafa Inc et al.   PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS

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

(2016) Abdon Atangana et al.   Thermal Science

Initial value/boundary value problems for fractional diffusion-wave equations and applications to some inverse problems

(2011) Kenichi Sakamoto et al.   JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

Initial-boundary-value problems for the one-dimensional time-fractional diffusion equation

(2011) Yuri Luchko   Fractional Calculus and Applied Analysis