Solitary solutions for time-fractional nonlinear dispersive PDEs in the sense of conformable fractional derivative

A El-Ajou, MN Oqielat, Z Al-Zhour, S Kumar… - … Journal of Nonlinear …, 2019 - pubs.aip.org
In this paper, the time-fractional nonlinear dispersive (TFND) partial differential equations
(PDEs) in the sense of conformable fractional derivative (CFD) are proposed and analyzed …

New travelling wave solutions for KdV6 equation using sub equation method

H Durur, A Kurt, O Tasbozan - Applied Mathematics and Nonlinear …, 2020 - sciendo.com
This paper proposes obtaining the new wave solutions of time fractional sixth order
nonlinear Equation (KdV6) using sub-equation method where the fractional derivatives are …

Series solutions of nonlinear conformable fractional KdV-Burgers equation with some applications

A El-Ajou, Z Al-Zhour, M Oqielat, S Momani… - The European Physical …, 2019 - Springer
In this paper, the non-linear fractional KdV-Burgers equation (KdVBE) in terms of
conformable fractional derivative (CFD) is reconstituted instead of the Caputo fractional …

Chaos and relativistic energy-momentum of the nonlinear time fractional Duffing equation

RAM Attia, D Lu, M MA Khater - Mathematical and Computational …, 2019 - mdpi.com
This paper studies the nonlinear fractional undamped Duffing equation. The Duffing
equation is one of the fundamental equations in engineering. The geographical areas of this …

[HTML][HTML] Smooth expansion to solve high-order linear conformable fractional PDEs via residual power series method: Applications to physical and engineering …

A El-Ajou, M Al-Smadi, NO Moa'ath, S Momani… - Ain Shams Engineering …, 2020 - Elsevier
We present a fractional series solution (FSS) for a class of higher-order linear fractional
PDEs. The fractional derivative in this class is considered in the conformable fractional …

The first integral method for solving some conformable fractional differential equations

M Ilie, J Biazar, Z Ayati - Optical and Quantum Electronics, 2018 - Springer
Analytic behavior of fractional differential equations are often seems confusing. Thus, finding
comprehensive methods for solving those sounds of high importance. In the present study …

[HTML][HTML] Series solutions for the Laguerre and Lane-Emden fractional differential equations in the sense of conformable fractional derivative

Z Al-Zhour, N Al-Mutairi, F Alrawajeh… - Alexandria Engineering …, 2019 - Elsevier
In the present paper, we use efficient and simple algorithms of the fractional power series
and Adomain polynomial methods that provide effective tools for solving such linear and …

New results on the conformable fractional Sumudu transform: theories and applications

Z Al-Zhour, F Alrawajeh, N Al-Mutairi… - International Journal of …, 2019 - etamaths.com
In this paper, we generalize the formula of Sumudu transform to the conformable fractional
order and some interesting and important rules of this transform and conformable fractional …

Resonant solitons to the nonlinear Schrödinger equation with different forms of nonlinearities

M Ilie, J Biazar, Z Ayati - Optik, 2018 - Elsevier
In this research the conformable time-fractional resonant nonlinear Schrödinger equation
with different forms of nonlinearities, including Kerr-law and parabolic-law has been studied …

Certain fractional proportional integral inequalities via convex functions

G Rahman, KS Nisar, T Abdeljawad, S Ullah - Mathematics, 2020 - mdpi.com
Mathematics | Free Full-Text | Certain Fractional Proportional Integral Inequalities via
Convex Functions Next Article in Journal Multi-Attribute Group Decision Making Based on …