New idea of Atangana and Baleanu fractional derivatives to human blood flow in nanofluids

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

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

Non validity of index law in fractional calculus: A fractional differential operator with Markovian and non-Markovian properties

(2018) Abdon Atangana   PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS

A new numerical approximation of the fractal ordinary differential equation

(2018) Abdon Atangana et al.   European Physical Journal Plus

Numerical analysis for the fractional diffusion and fractional Buckmaster equation by the two-step Laplace Adam-Bashforth method

(2018) Sonal Jain   European Physical Journal Plus

Motion through a non-homogeneous porous medium: Hydrodynamic permeability of a membrane composed of cylindrical particles

(2018) Pramod Kumar Yadav   European Physical Journal Plus

Blind in a commutative world: Simple illustrations with functions and chaotic attractors

(2018) Abdon Atangana   CHAOS SOLITONS & FRACTALS

Fractional derivatives with no-index law property: Application to chaos and statistics

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

The role of power decay, exponential decay and Mittag-Leffler function’s waiting time distribution: Application of cancer spread

(2018) Abdon Atangana et al.   PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS

A fractional model of vertical transmission and cure of vector-borne diseases pertaining to the Atangana–Baleanu fractional derivatives

(2018) Aliyu Isa Aliyu et al.   CHAOS SOLITONS & FRACTALS

Heat and mass transport of differential type fluid with non-integer order time-fractional Caputo derivatives

(2017) M.A. Imran et al.   JOURNAL OF MOLECULAR LIQUIDS

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

A new derivative with normal distribution kernel: Theory, methods and applications

(2017) Abdon Atangana et al.   PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS

Free convection flow of some fractional nanofluids over a moving vertical plate with uniform heat flux and heat source

(2017) Waqas Ali Azhar et al.   PHYSICS OF FLUIDS

Steady-state heat conduction in a medium with spatial non-singular fading memory: Derivation of Caputo-Fabrizio space-fractional derivative from Cattaneo concept with Jeffrey`s Kernel and analytical solutions

(2017) Jordan Hristov   Thermal Science

On the applications of nanofluids to enhance the performance of solar collectors: A comparative analysis of Atangana-Baleanu and Caputo-Fabrizio fractional models

(2017) Nadeem Ahmad Sheikh 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

Heat transfer analysis in a Maxwell fluid over an oscillating vertical plate using fractional Caputo-Fabrizio derivatives

(2017) Ilyas Khan et al.   European Physical Journal Plus

Natural Convection Flow of Fractional Nanofluids Over an Isothermal Vertical Plate with Thermal Radiation

(2017) Constantin Fetecau et al.   Applied Sciences-Basel

Wall slip and non-integer order derivative effects on the heat transfer flow of Maxwell fluid over an oscillating vertical plate with new definition of fractional Caputo-Fabrizio derivatives

(2017) Madeeha Tahir et al.   Results in Physics

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

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

Chua's circuit model with Atangana–Baleanu derivative with fractional order

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

Comparing the Atangana–Baleanu and Caputo–Fabrizio derivative with fractional order: Allen Cahn model

(2016) Obaid Jefain Julaighim Algahtani   CHAOS SOLITONS & FRACTALS

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

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

Heat transfer analysis in a second grade fluid over and oscillating vertical plate using fractional Caputo–Fabrizio derivatives

(2016) Nehad Ali Shah et al.   EUROPEAN PHYSICAL JOURNAL C

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

Fractional Maxwell fluid with fractional derivative without singular kernel

(2016) Feng Gao 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

Unsteady flow of generalized Casson fluid with fractional derivative due to an infinite plate

(2016) Ilyas Khan et al.   European Physical Journal Plus

Application of Caputo-Fabrizio derivatives to MHD free convection flow of generalized Walters’-B fluid model

(2016) Farhad Ali et al.   European Physical Journal Plus

Time-fractional free convection flow near a vertical plate with Newtonian heating and mass diffusion

(2015) Dumitru Vieru et al.   Thermal Science

Casson fluid flow and heat transfer over a nonlinearly stretching surface

(2013) Swati Mukhopadhyay   Chinese Physics B

Unsteady flow of a generalized Maxwell fluid with fractional derivative due to a constantly accelerating plate

(2009) Corina Fetecau et al.   COMPUTERS & MATHEMATICS WITH APPLICATIONS

Monotone iterative method for initial value problem involving Riemann–Liouville fractional derivatives

(2009) Shuqin Zhang   NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS