New predictor‐corrector scheme for solving nonlinear differential equations with Caputo‐Fabrizio operator

A fractional epidemiological model for computer viruses pertaining to a new fractional derivative

(2018) Jagdev Singh et al.   APPLIED MATHEMATICS AND COMPUTATION

On the new properties of Caputo–Fabrizio operator and its application in deriving shifted Legendre operational matrix

(2018) Jian Rong Loh et al.   APPLIED NUMERICAL MATHEMATICS

A critical analysis of the Caputo–Fabrizio operator

(2018) Manuel D. Ortigueira et al.   Communications in Nonlinear Science and Numerical Simulation

Numerical approach to fractional blow-up equations with Atangana-Baleanu derivative in Riemann-Liouville sense

(2018) Kolade M. Owolabi   Mathematical Modelling of Natural Phenomena

New numerical approach for fractional differential equations

(2018) Abdon Atangana et al.   Mathematical Modelling of Natural Phenomena

Modelling and formation of spatiotemporal patterns of fractional predation system in subdiffusion and superdiffusion scenarios

(2018) Kolade M. Owolabi et al.   European Physical Journal Plus

Efficient numerical simulation of non-integer-order space-fractional reaction-diffusion equation via the Riemann-Liouville operator

(2018) Kolade M. Owolabi   European Physical Journal Plus

Modelling and simulation of a dynamical system with the Atangana-Baleanu fractional derivative

(2018) Kolade M. Owolabi   European Physical Journal Plus

Stability analysis for fractional-order partial differential equations by means of space spectral time Adams-Bashforth Moulton method

(2017) Ayesha Sohail et al.   NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS

Mathematical analysis and numerical simulation of chaotic noninteger order differential systems with Riemann-Liouville derivative

(2017) Kolade M. Owolabi   NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS

Analysis of Mathematics and Numerical Pattern Formation in Superdiffusive Fractional Multicomponent System

(2017) Kolade M. Owolabi et al.   Advances in Applied Mathematics and Mechanics

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

Controlling the wave movement on the surface of shallow water with the Caputo–Fabrizio derivative with fractional order

(2016) B.S.T. Alkahtani et al.   CHAOS SOLITONS & FRACTALS

Fractional Adams–Bashforth/Moulton methods: An application to the fractional Keller–Segel chemotaxis system

(2016) Mohsen Zayernouri et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Modeling diffusive transport with a fractional derivative without singular kernel

(2016) J.F. Gómez-Aguilar et al.   PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS

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

The dual reciprocity boundary integral equation technique to solve a class of the linear and nonlinear fractional partial differential equations

(2015) Mehdi Dehghan et al.   MATHEMATICAL METHODS IN THE APPLIED SCIENCES

Chaos control and synchronization of fractional order delay-varying computer virus propagation model

(2015) Moien Ahmad Ansari et al.   MATHEMATICAL METHODS IN THE APPLIED SCIENCES