Analytical solutions to the advection-diffusion equation with Atangana-Baleanu time-fractional derivative and a concentrated loading

On weighted Atangana–Baleanu fractional operators

(2020) Mohammed Al-Refai   Advances in Difference Equations

A new study on the mathematical modelling of human liver with Caputo–Fabrizio fractional derivative

(2020) Dumitru Baleanu et al.   CHAOS SOLITONS & FRACTALS

The fractional features of a harmonic oscillator with position-dependent mass

(2020) Dumitru Baleanu et al.   COMMUNICATIONS IN THEORETICAL PHYSICS

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

(2019) Mohammed Al-Refai et al.   CHAOS

Spatiotemporal patterns in the Belousov–Zhabotinskii reaction systems with Atangana–Baleanu fractional order derivative

(2019) Kolade M. Owolabi et al.   PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS

A cardinal approach for nonlinear variable-order time fractional Schrödinger equation defined by Atangana–Baleanu–Caputo derivative

(2019) M.H. Heydari et al.   CHAOS SOLITONS & FRACTALS

Computational study of multi-species fractional reaction-diffusion system with ABC operator

(2019) Kolade M. Owolabi et al.   CHAOS SOLITONS & FRACTALS

A New Feature of the Fractional Euler–Lagrange Equations for a Coupled Oscillator Using a Nonsingular Operator Approach

(2019) Amin Jajarmi et al.   Frontiers in Physics

A new fractional HRSV model and its optimal control: A non-singular operator approach

(2019) Amin Jajarmi et al.   PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS

Analytical solution of two-dimensional advection–dispersion equation with spatio-temporal coefficients for point sources in an infinite medium using Green’s function method

(2018) Abhishek Sanskrityayn et al.   ENVIRONMENTAL FLUID MECHANICS

Poisson equations in irregular domains with Robin boundary conditions — Solver with second-order accurate gradients

(2018) Victoria Arias et al.   JOURNAL OF COMPUTATIONAL PHYSICS

New numerical method and application to Keller-Segel model with fractional order derivative

(2018) Abdon Atangana et al.   CHAOS SOLITONS & FRACTALS

Two Approaches to Obtaining the Space-Time Fractional Advection-Diffusion Equation

(2017) Yuriy Povstenko et al.   Entropy

Analysis of non-homogeneous heat model with new trend of derivative with fractional order

(2016) Badr Saad T. Alkahtani et al.   CHAOS SOLITONS & FRACTALS

Analytical solution of advection–diffusion equation in heterogeneous infinite medium using Green’s function method

(2016) ABHISHEK SANSKRITYAYN et al.   Journal of Earth System Science

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

(2016) Abdon Atangana et al.   Thermal Science

Integral solutions to transient nonlinear heat (mass) diffusion with a power-law diffusivity: a semi-infinite medium with fixed boundary conditions

(2015) Jordan Hristov   HEAT AND MASS TRANSFER

Advection–Diffusion Equation with Absorbing Boundary

(2015) John Grant et al.   JOURNAL OF STATISTICAL PHYSICS

A level set approach for diffusion and Stefan-type problems with Robin boundary conditions on quadtree/octree adaptive Cartesian grids

(2012) Joseph Papac et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Efficient symmetric discretization for the Poisson, heat and Stefan-type problems with Robin boundary conditions

(2009) Joseph Papac et al.   JOURNAL OF COMPUTATIONAL PHYSICS