Analysis of the seventh-order Caputo fractional KdV equation: applications to the Sawada–Kotera–Ito and Lax equations
In this study, we investigate the seventh-order nonlinear Caputo time-fractional KdV
equation. The suggested model's solutions, which have a series form, are obtained using …
equation. The suggested model's solutions, which have a series form, are obtained using …
Conservation laws and exact series solution of fractional‐order Hirota–Satsuma‐coupled Korteveg–de Vries system by symmetry analysis
The main goal of the paper is to obtain invariance analysis of fractional‐order Hirota–
Satsuma‐coupled Korteveg–de Vries (HSC‐KdV) system of equations based on Riemann …
Satsuma‐coupled Korteveg–de Vries (HSC‐KdV) system of equations based on Riemann …
Invariant analysis, approximate solutions, and conservation laws for the time fractional higher order Boussinesq–Burgers system
In this paper, we employ the time fractional higher order nonlinear Boussinesq–Burgers
system to investigate shallow water waves based on the Riemann–Liouville and Caputo …
system to investigate shallow water waves based on the Riemann–Liouville and Caputo …
The study of linear and nonlinear fractional ODEs by homotopy analysis
In our work, we broaden the application of homotopy analysis method (HAM) to solve linear
and nonlinear time fractional ordinary differential equations (FODEs) with given initial …
and nonlinear time fractional ordinary differential equations (FODEs) with given initial …
The Comparative Study of Time Fractional Linear and Nonlinear Newell–Whitehead–Segel Equation
In this study, the homotopy analysis method (HAM) and fractional reduced differential
transform method (FRDTM) are executed to solve the reaction–diffusion-type time fractional …
transform method (FRDTM) are executed to solve the reaction–diffusion-type time fractional …
[PDF][PDF] Application of symmetry analysis and conservation laws to a fractional-order nonlinear conduction-diffusion model
Application of symmetry analysis and conservation laws to a fractional-order nonlinear
conduction-diffusion model Page 1 AIMS Mathematics, 9(7): 17154–17170. DOI: 10.3934/math.2024833 …
conduction-diffusion model Page 1 AIMS Mathematics, 9(7): 17154–17170. DOI: 10.3934/math.2024833 …
Similarity Solution for a System of Fractional-Order Coupled Nonlinear Hirota Equations with Conservation Laws
The analysis of differential equations using Lie symmetry has been proved a very robust
tool. It is also a powerful technique for reducing the order and nonlinearity of differential …
tool. It is also a powerful technique for reducing the order and nonlinearity of differential …
Application of Symmetry Analysis and Conservation Laws to Fractional-Order Nonlinear Conduction-Diffusion Model
H Dhull, A Tomar, H Gandhi, D Singh - Authorea Preprints, 2024 - authorea.com
This study is aimed to perform Lie symmetry analysis of the nonlinear fractional-order
conduction-diffusion Buckmaster model (BM), which involves the Riemann-Liouville (RL) …
conduction-diffusion Buckmaster model (BM), which involves the Riemann-Liouville (RL) …
Conservation Laws and Explicit Solution of system of Fractional-Order Coupled Nonlinear Hirota Equations by Lie Symmetry Analysis
H Gandhi, A Tomar, D Singh - Authorea Preprints, 2024 - authorea.com
The main objective of this research article is to summarize the study of the application of Lie
symmetry reduction to the fractional-order coupled nonlinear complex Hirota system of …
symmetry reduction to the fractional-order coupled nonlinear complex Hirota system of …
The solution of system of time fractional ordinary differential equations by semi-analytical technique
In our work, we are extending the application of semi-analytical homotopy analysis method
(HAM) to clear up certain system of fractional ordinary differential equations (FODEs) like …
(HAM) to clear up certain system of fractional ordinary differential equations (FODEs) like …