Results 11 to 20 of about 33,254 (236)

Dynamical analysis of a nonlinear oscillator chain in the Peyrard–Bishop DNA model using residual power series and Laplace residual power series method [PDF]

Iranian Journal of Numerical Analysis and Optimization
In this study, we investigate the numerical exploration of the Peyrard–Bishop DNA (PBD) dynamic model. These solutions are responsible for analyzing the nonlinear interactions between the adjacent displacements of the DNA strand.
D. Priyadarsini, P.K. Sahu, M. Routaray
doaj   +3 more sources

Combination of Laplace transform and residual power series techniques to solve autonomous n-dimensional fractional nonlinear systems [PDF]

Nonlinear Engineering, 2021
In this work, a new iterative algorithm is presented to solve autonomous n-dimensional fractional nonlinear systems analytically. The suggested scheme is combination of two methods; the Laplace transform and the residual power series.
Alquran Marwan, Alsukhour Maysa, Ali Mohammed, Jaradat Imad   +3 more
doaj   +2 more sources

Solving Nonlinear Fractional PDEs with Applications to Physics and Engineering Using the Laplace Residual Power Series Method

International Journal of Differential Equations, 2023
The Laplace residual power series (LRPS) method uses the Caputo fractional derivative definition to solve nonlinear fractional partial differential equations. This technique has been applied successfully to solve equations such as the fractional Kuramoto–
Khalid K. Ali, F. E. Abd Elbary, Mohamed S. Abdel-Wahed, M. A. Elsisy, Mourad S. Semary   +4 more
doaj   +2 more sources

Analytical Approximate Solutions of Caputo Fractional KdV-Burgers Equations Using Laplace Residual Power Series Technique

Journal of Applied Mathematics
The KdV-Burgers equation is one of the most important partial differential equations, established by Korteweg and de Vries to describe the behavior of nonlinear waves and many physical phenomena. In this paper, we reformulate this problem in the sense of
Aliaa Burqan, Mona Khandaqji, Zeyad Al-Zhour, Ahmad El-Ajou, Tasneem Alrahamneh   +4 more
doaj   +3 more sources

Modeling and analysis of dengue transmission in fuzzy-fractional framework: a hybrid residual power series approach [PDF]

Scientific Reports
The current manuscript presents a mathematical model of dengue fever transmission with an asymptomatic compartment to capture infection dynamics in the presence of uncertainty. The model is fuzzified using triangular fuzzy numbers (TFNs) approach.
Mubashir Qayyum, Qursam Fatima, Ali Akgül, Murad Khan Hassani   +3 more
doaj   +2 more sources

General Residual Power Series Method: Explicit Coefficient Derivation and Unified Laplace-like Transform Approach for Fractional PDEs

Mathematics
This work introduces the General Residual Power Series Method (GRPSM) as a unified analytical framework encompassing the conventional Residual Power Series Method (RPSM) and its Laplace-like transform variants. By deriving a universal coefficient formula,
Pisamai Kittipoom, Jessada Tanthanuch
doaj   +2 more sources

Extracting explicit coefficient formulas: A robust approach to the laplace residual power series method

Alexandria Engineering Journal
This work presents a novel advancement to the Laplace Residual Power Series Method (LRPSM) for solving fractional differential equations by specifically utilizing the Caputo fractional derivative.
Pisamai Kittipoom
doaj   +2 more sources

Analytical Solutions of the Nonlinear Time-Fractional Coupled Boussinesq-Burger Equations Using Laplace Residual Power Series Technique

Fractal and Fractional, 2022
In this paper, we present the series solutions of the nonlinear time-fractional coupled Boussinesq-Burger equations (T-FCB-BEs) using Laplace-residual power series (L-RPS) technique in the sense of Caputo fractional derivative (C-FD).
Aref Sarhan, Aliaa Burqan, Rania Saadeh, Zeyad Al-Zhour   +3 more
doaj   +2 more sources

The fractional analysis of thermo-elasticity coupled systems with non-linear and singular nature [PDF]

Scientific Reports
It is mentioned that understanding linear and non-linear thermo-elasticity systems is important for understanding temperature, elasticity, stresses, and thermal conductivity.
Abdur Rab, Shahbaz Khan, Hassan Khan, Fairouz Tchier, Samaruddin Jebran, Ferdous Tawfiq, Muhammad Nadeem   +6 more
doaj   +2 more sources

On Solving Modified Time Caputo Fractional Kawahara Equations in the Framework of Hilbert Algebras Using the Laplace Residual Power Series Method

Fractal and Fractional
In this work, we first develop the modified time Caputo fractional Kawahara Equations (MTCFKEs) in the usual Hilbert spaces and extend them to analogous structures within the theory of Hilbert algebras.
Faten H. Damag, Amin Saif
doaj   +2 more sources