Fuzzy conformable fractional differential equations: novel extended approach and new numerical solutions

OA Arqub, M Al-Smadi - Soft Computing, 2020 - Springer
The aim of this article is to propose a new definition of fuzzy fractional derivative, so-called
fuzzy conformable. To this end, we discussed fuzzy conformable fractional integral softly …

Numerical computations of coupled fractional resonant Schrödinger equations arising in quantum mechanics under conformable fractional derivative sense

M Al-Smadi, OA Arqub, S Momani - Physica Scripta, 2020 - iopscience.iop.org
Mathematical modeling of fractional resonant Schrödinger equations is an extremely
significant topic in the classical of quantum mechanics, chromodynamics, astronomy, and …

Approximate solutions of nonlinear fractional Kundu-Eckhaus and coupled fractional massive Thirring equations emerging in quantum field theory using conformable …

M Al-Smadi, OA Arqub, S Hadid - Physica Scripta, 2020 - iopscience.iop.org
In quantum field theory, the fractional Kundu-Eckhaus and massive Thirring models are
nonlinear partial differential equations under fractional sense inside nonlinear Schrödinger …

[HTML][HTML] The amazing fractional Maclaurin series for solving different types of fractional mathematical problems that arise in physics and engineering

M Alquran - Partial Differential Equations in Applied Mathematics, 2023 - Elsevier
Many applications and natural phenomena in the fields of physics and engineering are
described by ordinary and partial differential equations. Therefore, obtaining solutions to …

[HTML][HTML] Promoted residual power series technique with Laplace transform to solve some time-fractional problems arising in physics

M Alquran, M Ali, M Alsukhour, I Jaradat - Results in Physics, 2020 - Elsevier
Physical applications involving time-fractional derivatives are reflecting some memory
characteristics. These inherited memories have been identified as a homotopy map** of …

[PDF][PDF] New travelling wave solutions for KdV6 equation using sub equation method

H Durur, A Kurt, O Tasbozan - Applied Mathematics and …, 2020 - intapi.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 …

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 …

[HTML][HTML] Evolutionary dynamics of solitary wave profiles and abundant analytical solutions to a (3+ 1)-dimensional burgers system in ocean physics and …

S Kumar, A Kumar, B Mohan - Journal of Ocean Engineering and Science, 2023 - Elsevier
In the fields of oceanography, hydrodynamics, and marine engineering, many
mathematicians and physicists are interested in Burgers-type equations to show the different …

[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 …

A fractional analysis of Noyes–Field model for the nonlinear Belousov–Zhabotinsky reaction

L Akinyemi - Computational and Applied Mathematics, 2020 - Springer
Nonlinear phenomena play an essential role in various field of natural sciences and
engineering. In particular, the nonlinear chemical reactions are observed in various …