Solitary solutions for time-fractional nonlinear dispersive PDEs in the sense of conformable fractional derivative
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 …
(PDEs) in the sense of conformable fractional derivative (CFD) are proposed and analyzed …
New travelling wave solutions for KdV6 equation using sub equation method
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 …
nonlinear Equation (KdV6) using sub-equation method where the fractional derivatives are …
Series solutions of nonlinear conformable fractional KdV-Burgers equation with some applications
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 …
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 …
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 …
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 …
PDEs. The fractional derivative in this class is considered in the conformable fractional …
The first integral method for solving some conformable fractional differential equations
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 …
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 …
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 …
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
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 …
with different forms of nonlinearities, including Kerr-law and parabolic-law has been studied …
Certain fractional proportional integral inequalities via convex functions
Mathematics | Free Full-Text | Certain Fractional Proportional Integral Inequalities via
Convex Functions Next Article in Journal Multi-Attribute Group Decision Making Based on …
Convex Functions Next Article in Journal Multi-Attribute Group Decision Making Based on …