Two new fractional derivatives of variable order with non-singular kernel and fractional differential equation

Numerical solution of multi-order fractional differential equations with multiple delays via spectral collocation methods

(2018) Arman Dabiri et al.   APPLIED MATHEMATICAL MODELLING

On the ψ -Hilfer fractional derivative

(2018) J. Vanterler da C. Sousa et al.   Communications in Nonlinear Science and Numerical Simulation

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

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

The mean value theorem and Taylor’s theorem for fractional derivatives with Mittag–Leffler kernel

(2018) Arran Fernandez et al.   Advances in Difference Equations

EXACT TRAVELING-WAVE SOLUTION FOR LOCAL FRACTIONAL BOUSSINESQ EQUATION IN FRACTAL DOMAIN

(2017) XIAO-JUN YANG et al.   FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY

Mittag–Leffler Functions and the Truncated $${\mathcal {V}}$$ V -fractional Derivative

(2017) J. Vanterler da C. Sousa et al.   Mediterranean Journal of Mathematics

A new fractional operator of variable order: Application in the description of anomalous diffusion

(2017) Xiao-Jun Yang et al.   PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS

Fractional derivatives of constant and variable orders applied to anomalous relaxation models in heat transfer problems

(2017) Xiao-Jun Yang   Thermal Science

General fractional calculus operators containing the generalized Mittag-Leffler functions applied to anomalous relaxation

(2017) Xiaojun Yang   Thermal Science

A new fractional derivative without singular kernel: Application to the modelling of the steady heat flow

(2016) Xiao-Jun Yang et al.   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

Two shifted Jacobi-Gauss collocation schemes for solving two-dimensional variable-order fractional Rayleigh-Stokes problem

(2016) Ali H Bhrawy et al.   Advances in Difference Equations

A new definition of fractional derivative

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

Fractional models of anomalous relaxation based on the Kilbas and Saigo function

(2014) Edmundo Capelas de Oliveira et al.   MECCANICA

Existence result of solutions to differential equations of variable-order with nonlinear boundary value conditions

(2013) Shuqin Zhang   Communications in Nonlinear Science and Numerical Simulation

Models based on Mittag-Leffler functions for anomalous relaxation in dielectrics

(2011) E. Capelas de Oliveira et al.   European Physical Journal-Special Topics