[HTML][HTML] Solving fractional Bagley-Torvik equation by fractional order Fibonacci wavelet arising in fluid mechanics

P Yadav, S Jahan, KS Nisar - Ain Shams Engineering Journal, 2024 - Elsevier
This study introduces a new fractional order Fibonacci wavelet technique proposed for
solving the fractional Bagley-Torvik equation (BTE), along with the block pulse functions. To …

Integrated intelligence of fractional neural networks and sequential quadratic programming for Bagley–Torvik systems arising in fluid mechanics

MAZ Raja, MA Manzar… - Journal of …, 2020 - asmedigitalcollection.asme.org
In this study, an efficient soft computing paradigm is presented for solving Bagley–Torvik
systems of fractional order arising in fluid dynamic model for the motion of a rigid plate …

An application of the Gegenbauer wavelet method for the numerical solution of the fractional Bagley-Torvik equation

HM Srivastava, FA Shah, R Abass - Russian Journal of Mathematical …, 2019 - Springer
In this paper, a potentially useful new method based on the Gegenbauer wavelet expansion,
together with operational matrices of fractional integral and block-pulse functions, is …

Design of unsupervised fractional neural network model optimized with interior point algorithm for solving Bagley–Torvik equation

MAZ Raja, R Samar, MA Manzar, SM Shah - Mathematics and Computers …, 2017 - Elsevier
In this article, an efficient computing technique has been developed for the solution of
fractional order systems governed with initial value problems (IVPs) of the Bagley–Torvik …

A collocation-shooting method for solving fractional boundary value problems

QM Al-Mdallal, MI Syam, MN Anwar - Communications in Nonlinear …, 2010 - Elsevier
In this paper, we discuss the numerical solution of special class of fractional boundary value
problems of order 2. The method of solution is based on a conjugating collocation and …

Design of neuro-swarming computational solver for the fractional Bagley–Torvik mathematical model

JLG Guirao, Z Sabir, MAZ Raja… - The European Physical …, 2022 - epjplus.epj.org
This study is to introduce a novel design and implementation of a neuro-swarming
computational numerical procedure for numerical treatment of the fractional Bagley–Torvik …

RETRACTED ARTICLE: Solutions of Bagley–Torvik and Painlevé equations of fractional order using iterative reproducing kernel algorithm with error estimates

OA Arqub, B Maayah - Neural Computing & Applications, 2018 - search.proquest.com
This paper presents iterative reproducing kernel algorithm for obtaining the numerical
solutions of Bagley–Torvik and Painlevé equations of fractional order. The representation of …

Numerical solution of fractional differential equations using Haar wavelet operational matrix method

FA Shah, R Abass, L Debnath - International Journal of Applied and …, 2017 - Springer
In this paper, a new operational matrix method based on Haar wavelets is proposed to solve
linear and non-linear differential equations of fractional order. Contrary to wavelet …

Solution of fractional order system of Bagley‐Torvik equation using evolutionary computational intelligence

MAZ Raja, JA Khan, IM Qureshi - Mathematical Problems in …, 2011 - Wiley Online Library
A stochastic technique has been developed for the solution of fractional order system
represented by Bagley‐Torvik equation. The mathematical model of the equation was …

Residual power series technique for simulating fractional Bagley–Torvik problems emerging in applied physics

S Alshammari, M Al-Smadi, I Hashim, MA Alias - Applied Sciences, 2019 - mdpi.com
Featured Application Fractional differential equations play a significant role in modeling
certain dynamical systems arising in many fields of applied sciences and engineering. In this …