TY - JOUR
T1 - A Design of Predictive Intelligent Networks for the Analysis of Fractional Model of TB-Virus
AU - Raja, Muhammad Asif Zahoor
AU - Abbasi, Aqsa Zafar
AU - Nisar, Kottakkaran Sooppy
AU - Rafiq, Ayesha
AU - Shoaib, Muhammad
N1 - Publisher Copyright:
Copyright © 2025 The Authors.
PY - 2025
Y1 - 2025
N2 - Being a nonlinear operator, fractional derivatives can affect the enforcement of existence at any given time. As a result, the memory effect has an impact on all nonlinear processes modeled by fractional order differential equations (FODEs). The goal of this study is to increase the fractional model of the TB virus’s (FMTBV) accuracy. Stochastic solvers have never been used to solve FMTBV previously. The Bayesian regularized artificial (BRA) method and neural networks (NNs), often referred to as BRA-NNs, were used to solve the FMTBV model. Each scenario features five occurrences that each reflect a different order of derivatives, ranging from 0.8, 0.85, 0.9, 0.95, and 1, as well as five potential rates for different parameters. Training data made up 90% of the data, testing data made up 5%, and validation data made up 5% of the data used to illustrate the FMTBV’s approximations. To verify that the BRA-NNs were correct, the generated simulations were described in the following solutions using the FOLotkaVolterra approach in MATLAB. Comprehensive Simulink results in terms of mean square error, error histogram, and regression analysis investigations further highlight the competence, dependability, and accuracy of the suggested BRA-NNs.
AB - Being a nonlinear operator, fractional derivatives can affect the enforcement of existence at any given time. As a result, the memory effect has an impact on all nonlinear processes modeled by fractional order differential equations (FODEs). The goal of this study is to increase the fractional model of the TB virus’s (FMTBV) accuracy. Stochastic solvers have never been used to solve FMTBV previously. The Bayesian regularized artificial (BRA) method and neural networks (NNs), often referred to as BRA-NNs, were used to solve the FMTBV model. Each scenario features five occurrences that each reflect a different order of derivatives, ranging from 0.8, 0.85, 0.9, 0.95, and 1, as well as five potential rates for different parameters. Training data made up 90% of the data, testing data made up 5%, and validation data made up 5% of the data used to illustrate the FMTBV’s approximations. To verify that the BRA-NNs were correct, the generated simulations were described in the following solutions using the FOLotkaVolterra approach in MATLAB. Comprehensive Simulink results in terms of mean square error, error histogram, and regression analysis investigations further highlight the competence, dependability, and accuracy of the suggested BRA-NNs.
KW - artificial neural network
KW - bayesian regularization
KW - Fractional model of TB-Virus (FMTBV)
UR - http://www.scopus.com/inward/record.url?scp=105007968727&partnerID=8YFLogxK
U2 - 10.32604/cmes.2025.058020
DO - 10.32604/cmes.2025.058020
M3 - Article
AN - SCOPUS:105007968727
SN - 1526-1492
VL - 143
SP - 2133
EP - 2153
JO - CMES - Computer Modeling in Engineering and Sciences
JF - CMES - Computer Modeling in Engineering and Sciences
IS - 2
ER -