Analytical solutions for the motion of a charged particle in electric and magnetic fields via non-singular fractional derivatives

A nonlinear fractional model to describe the population dynamics of two interacting species

(2017) Sunil Kumar et al.   MATHEMATICAL METHODS IN THE APPLIED SCIENCES

An efficient computational approach for time-fractional Rosenau–Hyman equation

(2017) Jagdev Singh et al.   NEURAL COMPUTING & APPLICATIONS

Engine oil based generalized brinkman-type nano-liquid with molybdenum disulphide nanoparticles of spherical shape: Atangana-Baleanu fractional model

(2017) Syed Aftab Alam Jan et al.   NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS

Space–time fractional diffusion equation using a derivative with nonsingular and regular kernel

(2017) J.F. Gómez-Aguilar   PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS

Solutions of Cattaneo-Hristov model of elastic heat diffusion with Caputo-Fabrizio and Atangana-Baleanu fractional derivatives

(2017) Ilknur Koca et al.   Thermal Science

Mathematical analysis and numerical simulation of two-component system with non-integer-order derivative in high dimensions

(2017) Kolade M Owolabi et al.   Advances in Difference Equations

Heat transfer analysis of fractional second-grade fluid subject to Newtonian heating with Caputo and Caputo-Fabrizio fractional derivatives: A comparison

(2017) Muhammad Imran Asjad et al.   European Physical Journal Plus

A comparative study of Atangana-Baleanu and Caputo-Fabrizio fractional derivatives to the convective flow of a generalized Casson fluid

(2017) Nadeem Ahmad Sheikh et al.   European Physical Journal Plus

Numerical simulations of chaotic and complex spatiotemporal patterns in fractional reaction–diffusion systems

(2017) Kolade M. Owolabi et al.   computational and applied mathematics

Analysis of a new model of H1N1 spread: Model obtained via Mittag-Leffler function

(2017) Badr Saad T Alkahtani et al.   Advances in Mechanical Engineering

Fractional dynamics of charged particles in magnetic fields

(2016) A. Coronel-Escamilla et al.   INTERNATIONAL JOURNAL OF MODERN PHYSICS C

Laplace homotopy analysis method for solving linear partial differential equations using a fractional derivative with and without kernel singular

(2016) Victor Fabian Morales-Delgado et al.   Advances in Difference Equations

A new nonlinear triadic model of predator–prey based on derivative with non-local and non-singular kernel

(2016) Badr Saad T Alkahtani et al.   Advances in Mechanical Engineering

Analysis of the Keller–Segel Model with a Fractional Derivative without Singular Kernel

(2015) Abdon Atangana et al.   Entropy

A numerical scheme for solving differential equations with space and time-fractional coordinate derivatives

(2015) Yasir Khan et al.   Quaestiones Mathematicae

Anisotropic fractal media by vector calculus in non-integer dimensional space

(2014) Vasily E. Tarasov   JOURNAL OF MATHEMATICAL PHYSICS

Fractional wave equation and damped waves

(2013) Yuri Luchko   JOURNAL OF MATHEMATICAL PHYSICS

Measuring memory with the order of fractional derivative

(2013) Maolin Du et al.   Scientific Reports

A method for solving nonlinear time-dependent drainage model

(2012) Yasir Khan   NEURAL COMPUTING & APPLICATIONS

An efficient new perturbative Laplace method for space-time fractional telegraph equations

(2012) Yasir Khan et al.   Advances in Difference Equations

Homotopy perturbation transform method for nonlinear equations using He’s polynomials

(2010) Yasir Khan et al.   COMPUTERS & MATHEMATICS WITH APPLICATIONS