The Schrödinger-KdV equation of fractional order with Mittag-Leffler nonsingular kernel

A study of fractional Lotka‐Volterra population model using Haar wavelet and Adams‐Bashforth‐Moulton methods

(2020) Sunil Kumar et al.   MATHEMATICAL METHODS IN THE APPLIED SCIENCES

A study of behaviour for immune and tumor cells in immunogenetic tumour model with non-singular fractional derivative

(2020) Behzad Ghanbari et al.   CHAOS SOLITONS & FRACTALS

Analysis and numerical computations of the fractional regularized long-wave equation with damping term

(2020) Mehmet Yavuz et al.   MATHEMATICAL METHODS IN THE APPLIED SCIENCES

An analysis for heat equations arises in diffusion process using new Yang‐Abdel‐Aty‐Cattani fractional operator

(2020) Sunil Kumar et al.   MATHEMATICAL METHODS IN THE APPLIED SCIENCES

New results on nonlocal functional integro-differential equations via Hilfer fractional derivative

(2020) R. Subashini et al.   Alexandria Engineering Journal

Operational matrix for Atangana–Baleanu derivative based on Genocchi polynomials for solving FDEs

(2020) S. Sadeghi et al.   CHAOS SOLITONS & FRACTALS

New approach for fractional Schrödinger‐Boussinesq equations with Mittag‐Leffler kernel

(2020) Doddabhadrappla Gowda Prakasha et al.   MATHEMATICAL METHODS IN THE APPLIED SCIENCES

Analytical and numerical approaches to nerve impulse model of fractional‐order

(2020) Mehmet Yavuz et al.   NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS

Approximation solution of the squeezing flow by the modification of optimal homotopy asymptotic method

(2020) Onur Alp İlhan   European Physical Journal Plus

A numerical study of fractional rheological models and fractional Newell-Whitehead-Segel equation with non-local and non-singular kernel

(2020) N.H. Tuan et al.   CHINESE JOURNAL OF PHYSICS

Construction of exact traveling wave solutions of the Bogoyavlenskii equation by (G′/G,1/G)-expansion and (1/G′)-expansion techniques

(2020) Asíf Yokus et al.   Results in Physics

New results on existence in the framework of Atangana–Baleanu derivative for fractional integro-differential equations

(2019) C. Ravichandran et al.   CHAOS SOLITONS & FRACTALS

Investigation of the fractional coupled viscous Burgers’ equation involving Mittag-Leffler kernel

(2019) Tukur Abdulkadir Sulaiman et al.   PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS

Numerical and approximate solutions for coupled time fractional nonlinear evolutions equations via reduced differential transform method

(2019) Saud Owyed et al.   CHAOS SOLITONS & FRACTALS

A new exploration on existence of fractional neutral integro- differential equations in the concept of Atangana–Baleanu derivative

(2019) K. Logeswari et al.   PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS

Similarities in a fifth-order evolution equation with and with no singular kernel

(2019) Emile F. Doungmo Goufo et al.   CHAOS SOLITONS & FRACTALS

A fast linearized conservative finite element method for the strongly coupled nonlinear fractional Schrödinger equations

(2018) Meng Li et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Solutions of partial differential equations using the fractional operator involving Mittag-Leffler kernel

(2018) Mehmet Yavuz et al.   European Physical Journal Plus

Shallow Water Wave Models with and without Singular Kernel: Existence, Uniqueness, and Similarities

(2017) Emile Franc Doungmo Goufo et al.   MATHEMATICAL PROBLEMS IN ENGINEERING

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

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

Two analytical methods for time-fractional nonlinear coupled Boussinesq–Burger’s equations arise in propagation of shallow water waves

(2016) Sunil Kumar et al.   NONLINEAR DYNAMICS

Galerkin finite element method for nonlinear fractional Schrödinger equations

(2016) Meng Li et al.   NUMERICAL ALGORITHMS

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

(2016) Abdon Atangana et al.   Thermal Science

A new analytical modelling for fractional telegraph equation via Laplace transform

(2013) Sunil Kumar   APPLIED MATHEMATICAL MODELLING

Topological 1-soliton solution of nonlinear Schrödinger equation with dual-power law nonlinearity in nonlinear optical fibers

(2013) Mostafa Eslami et al.   European Physical Journal Plus

Fractional-order Legendre functions for solving fractional-order differential equations

(2012) S. Kazem et al.   APPLIED MATHEMATICAL MODELLING

Dark solitons for a generalized nonlinear Schrödinger equation with parabolic law and dual-power law nonlinearities

(2011) Houria Triki et al.   MATHEMATICAL METHODS IN THE APPLIED SCIENCES

New soliton and periodic solutions of (1+2)-dimensional nonlinear Schrödinger equation with dual-power law nonlinearity

(2009) Li-Hua Zhang et al.   Communications in Nonlinear Science and Numerical Simulation

Homotopy perturbation method for coupled Schrödinger–KdV equation

(2008) Semih Küçükarslan   NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS