Journal ArticleDOI
Meyer wavelet neural networks to solve a novel design of fractional order pantograph Lane-Emden differential model
Zulqurnain Sabir,Muhammad Asif Zahoor Raja,Juan Luis García Guirao,Juan Luis García Guirao,Tareq Saeed +4 more
Reads0
Chats0
TLDR
The verification, perfection and authentication of the singular fractional order pantograph model using fractional Meyer computing solver is observed for different cases through comparative studies from the available exact solutions which endorsed its robustness, convergence and stability.Abstract:
The aim of this study is to design a singular fractional order pantograph differential model by using the typical form of the Lane-Emden model. The necessary details of the singular-point, fractional order and shape factor of the designed model are also provided. The numerical solutions of the designed model have been presented using the combination of the fractional Meyer wavelet (FMW) neural networks (NNs) modeling and optimization of global search with genetic algorithm (GA) supported with local search of sequential quadratic programming (SQP), i.e., FMWNN-GASQP. The strength of FMWNN is employed to design an objective function using the differential model along with its initial conditions of the singular fractional order pantograph model. The optimization of this objective function is performed using the integrated competence of GA-SQP. The verification, perfection and authentication of the singular fractional order pantograph model using fractional Meyer computing solver is observed for different cases through comparative studies from the available exact solutions which endorsed its robustness, convergence and stability. Moreover, the statistics observation with necessary explanations further authenticate the performance of the FMWNN-GASQP in terms of accuracy and reliability.read more
Citations
More filters
Journal ArticleDOI
Numerical computing to solve the nonlinear corneal system of eye surgery using the capability of Morlet wavelet artificial neural networks
Bo Wang,José Francisco Gómez-Aguilar,Zulqurnain Sabir,Muhammad Asif Zahoor Raja,Wei-Feng Xia,Hadi Jahanshahi,Madini O. Alassafi,Fawaz E. Alsaadi +7 more
TL;DR: In this article , a novel heuristic computing technique is presented to solve bioinformatics problem for the corneal shape model of eye surgery using Morlet wavelet artificial neural network optimized by the global search schemes, i.e. genetic algorithm (GA), local search technique, and the hybrid of GA-SQP.
Journal ArticleDOI
Applications of neural networks for the novel designed of nonlinear fractional seventh order singular system
Zulqurnain Sabir,Muhammad Asif Zahoor Raja,Tristan Nguyen,Irwan Fathurrochman,R. Sadat,Mohamed R. Ali +5 more
Journal ArticleDOI
Applications of neural networks for the novel designed of nonlinear fractional seventh order singular system
Zulqurnain Sabir,Muhammad Asif Zahoor Raja,Tristan Nguyen,Irwan Fathurrochman,R. Sadat,Mohamed R. Ali +5 more
Journal ArticleDOI
A stochastic computing procedure to solve the dynamics of prevention in HIV system
TL;DR: In this article , an advance computational framework using the procedures of Meyer neural networks (MNNs) together with the compotnecies of local/global search approaches is presented to solve the HIPV nonlinear mathematical system.
Journal ArticleDOI
Numerical treatment on the new fractional-order SIDARTHE COVID-19 pandemic differential model via neural networks
TL;DR: In this paper , a novel fractional-order SIDARTHE (FO-SidarTHE) differential system is presented, which incorporates eight phases of infection: susceptible (S), infected (I), diagnosed (D), ailing (A), recognized (R), threatening (T), healed (H), and extinct (E).
References
More filters
Journal ArticleDOI
Analysis of Fractional Differential Equations
Kai Diethelm,Neville J. Ford +1 more
TL;DR: In this paper, the authors discuss existence, uniqueness, and structural stability of solutions of nonlinear differential equations of fractional order, and investigate the dependence of the solution on the order of the differential equation and on the initial condition.
Journal ArticleDOI
Hybrid PSO–SQP for economic dispatch with valve-point effect
TL;DR: The proposed method out-performs and provides quality solutions compared to other existing techniques for EDP considering valve-point effects are shown in general.
Journal ArticleDOI
The Dynamics of a Current Collection System for an Electric Locomotive
John Ockendon,A. B. Tayler +1 more
TL;DR: In this article, the motion of an overhead trolley wire, suspended at equal intervals by stiff springs, in response to a pantograph moving with constant speed is analyzed and a uniformly valid solution is obtained for the contact force over a complete span.
Book ChapterDOI
On the Solution of Nonlinear Fractional-Order Differential Equations Used in the Modeling of Viscoplasticity
Kai Diethelm,Alan D. Freed +1 more
TL;DR: In this paper, a mathematical model for the description of the behavior of viscoplastic materials was developed based on a nonlinear differential equation of order β, where β is a material constant typically in the range 0 < β < 1.
Journal ArticleDOI
A hybrid EP and SQP for dynamic economic dispatch with nonsmooth fuel cost function
TL;DR: In this paper, a hybrid methodology for solving dynamic economic dispatch (DED) is proposed, in such a way that a simple evolutionary programming (EP) is applied as a based level search, which can give a good direction to the optimal global region, and a local search sequential quadratic programming (SQP) is used as a fine tuning to determine the optimal solution at the final.