Soliton solutions of the conformable fractional Zakharov–Kuznetsov equation with dual-power law nonlinearity

FS Khodadad, F Nazari, M Eslami… - Optical and Quantum …, 2017 - Springer
In this article, the Riccati sub equation method is employed to solve fractional Zakharov–
Kuznetsov equation with dual-power law nonlinearity in the sense of the conformable …

Conformable derivative approach to anomalous diffusion

HW Zhou, S Yang, SQ Zhang - Physica A: Statistical Mechanics and its …, 2018 - Elsevier
By using a new derivative with fractional order, referred to conformable derivative, an
alternative representation of the diffusion equation is proposed to improve the modeling of …

Dynamical behaviour of travelling wave solutions to the conformable time-fractional modified Liouville and mRLW equations in water wave mechanics

AA Mamun, SN Ananna, T An, NHM Shahen… - Heliyon, 2021 - cell.com
In this current study, we described a modified extended tanh-function (mETF) method to find
the new and efficient exact travelling and solitary wave solutions to the modified Liouville …

Traveling wave solutions for (3+ 1) dimensional conformable fractional Zakharov-Kuznetsov equation with power law nonlinearity

MS Osman, H Rezazadeh, M Eslami - Nonlinear Engineering, 2019 - degruyter.com
In this work, we consider the (3+ 1) dimensional conformable fractional Zakharov-Kuznetsov
equation with power law nonlinearity. Solitary wave solutions, soliton wave solutions, elliptic …

Analytical solutions for conformable space-time fractional partial differential equations via fractional differential transform

H Thabet, S Kendre - Chaos, Solitons & Fractals, 2018 - Elsevier
This paper introduces an efficient fractional differential transform that is called “conformable
fractional partial differential transform (CFPDT)” and its properties for solving linear and …

[HTML][HTML] Conformable derivative: Application to non-Darcian flow in low-permeability porous media

S Yang, L Wang, S Zhang - Applied Mathematics Letters, 2018 - Elsevier
The conformable derivative is used to develop the Swartzendruber model for description of
non-Darcian flow in porous media. The proposed conformable Swartzendruber models are …

[HTML][HTML] A comparison study of two modified analytical approach for the solution of nonlinear fractional shallow water equations in fluid flow

S Kumar, A Kumar, Z Odibat, M Aldhaifallah… - AIMS …, 2020 - aimspress.com
In this study, a comparison between the modified homotopy analysis transform method
(MHATM) and residual power series method (RPSM) have been given for solving time …

Exact solutions of nonlinear conformable time-fractional Boussinesq equations using the -expansion method

K Hosseini, A Bekir, R Ansari - Optical and Quantum Electronics, 2017 - Springer
Nonlinear fractional Boussinesq equations are considered as an important class of fractional
differential equations in mathematical physics. In this article, a newly developed method …

Impacts of the fractional derivatives on unsteady magnetohydrodynamics radiative Casson nanofluid flow combined with Joule heating

SE Ahmed, AAM Arafa - Physica Scripta, 2020 - iopscience.iop.org
This paper presents a mathematical formulation and numerical simulations of an unsteady
magnetohydrodynamic non-Newtonian nanofluid flow and entropy generation over a vertical …

Taming hyperchaos with ESDDFD discretization of a conformable fractional derivative financial system with market confidence and ethics risk

G Gibson, D Clemence-Mkhope - 2021 - preprints.org
Four discrete models using the exact spectral derivative discretization finite difference
(ESDDFD) method are proposed for a chaotic five-dimensional, conformable fractional …