[PDF][PDF] Fractional view analysis of Kersten-Krasil'shchik coupled KdV-mKdV systems with non-singular kernel derivatives

MM Al-Sawalha, A Khan, OY Ababneh, T Botmart - AIMS Math, 2022 - aimspress.com
… a fractional-order Kersten-Krasilshchik coupled KdVmKdV nonlinear system approximate …
of solving the generalized Kersten-Krasilshchik coupled KdV-mKdV equation. The results we …

Numerical solution of fractional KerstenKrasil'shchik coupled KdVmKdV system arising in shallow water waves

B Sagar, S Saha Ray - Computational and Applied Mathematics, 2022 - Springer
In the present article, a meshfree numerical scheme based on multiquadric radial basis function
to solve the time-fractional KerstenKrasilshchik coupled KdVmKdV system has been …

Numerical investigation of fractional-order KerstenKrasil'shchik coupled KdVmKdV system with Atangana–Baleanu derivative

N Iqbal, T Botmart, WW Mohammed, A Ali - Advances in Continuous and …, 2022 - Springer
… a fractional KerstenKrasilshchik coupled KdV-mKdV nonlinear … view of that, the
KerstenKrasilshchik coupled KdVmKdV … In this study, we also consider a fractional nonlinear …

[HTML][HTML] Numerical investigation of fractional-order KerstenKrasil'shchik coupled KdVmKdV system with Atangana–Baleanu derivative

I Naveed, B Thongchai… - Advances in …, 2022 - search.proquest.com
view of that, the KerstenKrasilshchik coupled KdVmKdV … In this study, we also consider
a fractional nonlinear two … New fractional derivatives with nonlocal and non-singular kernel: …

Novel Computations of the Time-Fractional Coupled Korteweg–de Vries Equations via Non-Singular Kernel Operators in Terms of the Natural Transform

ABM Alzahrani, G Alhawael - Symmetry, 2023 - mdpi.com
… In summary, our graphical and numerical analysis demonstrates the effectiveness of our
proposed method in approximating the solutions of coupled KdV equations via non-singular

The fractional analysis of a nonlinear mKdV equation with Caputo operator

HA Alyousef, R Shah, NA Shah, JD Chung… - … and Fractional, 2023 - mdpi.com
analysis of this topic, mathematicians understood it was necessary to look into the numerical
or analytical solutions of FPDEs and their systems… Many researchers have now coupled this …

A Reliable Way to Deal with the Coupled Fractional Korteweg-De Vries Equations within the Caputo Operator

T Botmart, BM Alotaibi, R Shah, LS El-Sherif… - Symmetry, 2022 - mdpi.com
… with fractional KerstenKrasilshchik-linked KdV-mKdV models. … coupled KdV-mKdV nonlinear
systems for the analysis of … fractional KerstenKrasilshchik-coupled KdV-mKdV system is …

Analytical approaches for approximate solution of the time-fractional coupled Schrödinger–KdV equation

M Naeem, H Yasmin, NA Shah, J Kafle, K Nonlaopon - Symmetry, 2022 - mdpi.com
… The current research focused on a fractional view analysis of heat-related equations
employing effective analytical techniques. A complex method was used to provide approximate …

[HTML][HTML] The dynamics of fractional KdV type equations occurring in magneto-acoustic waves through non-singular kernel derivatives

MM AlBaidani, AH Ganie, A Khan - AIP Advances, 2023 - pubs.aip.org
… from a physical and practical perspective. Indeed, every … Particle nonpartisan impacts play
a role in the partial coupling of … effective and appropriate to address these nonlinear systems. …

A comparative study of the fractional coupled burgers and Hirota–Satsuma KdV equations via analytical techniques

H Yasmin, N Iqbal - Symmetry, 2022 - mdpi.com
… to the fractional-order analysis of one and two-dimensional nonlinear systems of coupled
Burgers and Hirota–Satsuma KdV equations. The Atangana–Baleanu fractional derivative …