Eighth-kind Chebyshev polynomials collocation algorithm for the nonlinear time-fractional generalized Kawahara equation
In this study, we present an innovative approach involving a spectral collocation algorithm to
effectively obtain numerical solutions of the nonlinear time-fractional generalized Kawahara …
effectively obtain numerical solutions of the nonlinear time-fractional generalized Kawahara …
Dynamics of chaotic system based on circuit design with Ulam stability through fractal-fractional derivative with power law kernel
In this paper, the newly developed Fractal-Fractional derivative with power law kernel is
used to analyse the dynamics of chaotic system based on a circuit design. The problem is …
used to analyse the dynamics of chaotic system based on a circuit design. The problem is …
Analyzing dispersive optical solitons in nonlinear models using an analytical technique and its applications
J Ahmad, Z Mustafa, J Habib - Optical and Quantum Electronics, 2024 - Springer
The article focuses on exploring three distinct equations: the Jimbo-Miwa equation (JME),
the generalized shallow water equation (GSWE), and the Hirota-Satsuma-Ito equation …
the generalized shallow water equation (GSWE), and the Hirota-Satsuma-Ito equation …
Asymptotic-sequentially solution style for the generalized Caputo time-fractional Newell–Whitehead–Segel system
The Caputo fractional version of the generalized Newell–Whitehead–Segel model is
considered. We introduced a numerical scheme to solve analytically the proposed …
considered. We introduced a numerical scheme to solve analytically the proposed …
[HTML][HTML] Construction of traveling and solitary wave solutions for wave propagation in nonlinear low-pass electrical transmission lines
In this study, our aim to constructed the traveling and solitary wave solutions for nonlinear
evolution equation describe the wave propagation in nonlinear low-pass electrical …
evolution equation describe the wave propagation in nonlinear low-pass electrical …
An analytical study of physical models with inherited temporal and spatial memory
Du et al.(Sci. Reb. 3, 3431 (2013)) demonstrated that the fractional derivative order can be
physically interpreted as a memory index by fitting the test data of memory phenomena. The …
physically interpreted as a memory index by fitting the test data of memory phenomena. The …
A novel method for the analytical solution of fractional Zakharov–Kuznetsov equations
In this article, an efficient analytical technique, called Laplace–Adomian decomposition
method, is used to obtain the solution of fractional Zakharov–Kuznetsov equations. The …
method, is used to obtain the solution of fractional Zakharov–Kuznetsov equations. The …
An analytical framework of 2D diffusion, wave-like, telegraph, and Burgers' models with twofold Caputo derivatives ordering
The purpose of the current work is to provide an analytical solution framework based on
extended fractional power series expansion to solve 2D temporal–spatial fractional …
extended fractional power series expansion to solve 2D temporal–spatial fractional …
On finding closed-form solutions to some nonlinear fractional systems via the combination of multi-Laplace transform and the Adomian decomposition method
In this article, two-and three-dimensional nonlinear fractional partial differential systems are
solved by employing the methods of double and triple Laplace-Adomian decomposition. The …
solved by employing the methods of double and triple Laplace-Adomian decomposition. The …
Analysis of fractional differential equations with Antagana-Baleanu fractional operator
MA Hussein - Mathematics and Computational Sciences, 2022 - mcs.qut.ac.ir
To solve fractional-order differential equations (FODEs) with Antagana-Baleanu fractional
operator (ABFO), an efficient strategy based on variational iteration method (VIM) and …
operator (ABFO), an efficient strategy based on variational iteration method (VIM) and …