Design of unsupervised fractional neural network model optimized with interior point algorithm for solving Bagley-Torvik equation
From MaRDI portal
Publication:2228969
DOI10.1016/j.matcom.2016.08.002OpenAlexW2509431182WikidataQ57600094 ScholiaQ57600094MaRDI QIDQ2228969
Syed Muslim Shah, Raza Samar, Muhammad Anwar Manzar, Muhammad Asif Zahoor Raja
Publication date: 19 February 2021
Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.matcom.2016.08.002
neural networksfractional differential equationsBagley-Torvik equationinterior point algorithmunsupervised modeling
Related Items
Asymptotic behavior of the fractional order three species prey-predator model, Quasi-synchronization of fractional-order heterogeneous dynamical networks via aperiodic intermittent pinning control, Neural network method for solving fractional diffusion equations, A family of varying-parameter finite-time zeroing neural networks for solving time-varying Sylvester equation and its application, Dynamics of nonlinear cantilever piezoelectric-mechanical system: an intelligent computational approach, Intermittent control strategy for synchronization of fractional-order neural networks via piecewise Lyapunov function method, Dynamical analysis of nonlinear fractional order Lorenz system with a novel design of intelligent solution predictive radial base networks, A highly accurate artificial neural networks scheme for solving higher multi‐order fractal‐fractional differential equations based on generalized Caputo derivative, Fractional second linear multistep methods: the explicit forms for solving fractional differential equations and stability analysis, Design of computational intelligent procedure for thermal analysis of porous fin model, Study of fractional-order reaction-advection-diffusion equation using neural network method, Soft computing artificial intelligence of Schrödinger time independent equation arises in Wheeler-DeWitt model of quantum cosmology, Solving Dirichlet boundary problems for ODEs via swarm intelligence, Artificial Neural Network Approximation of Fractional-Order Derivative Operators: Analysis and DSP Implementation, Performance of Genocchi wavelet neural networks and least squares support vector regression for solving different kinds of differential equations, An iterative approximation for time-fractional Cahn-Allen equation with reproducing kernel method, FMNEICS: fractional Meyer neuro-evolution-based intelligent computing solver for doubly singular multi-fractional order Lane-Emden system, Integrated intelligent computing with neuro-swarming solver for multi-singular fourth-order nonlinear Emden-Fowler equation, Novel design of morlet wavelet neural network for solving second order Lane-Emden equation, Improved finite-time zeroing neural networks for time-varying complex Sylvester equation solving, Heuristic computing technique for numerical solutions of nonlinear fourth order Emden-Fowler equation, Design of evolutionary optimized finite difference based numerical computing for dust density model of nonlinear Van-der Pol Mathieu's oscillatory systems, Stochastic numerical approach for solving second order nonlinear singular functional differential equation, Numerical solution of a fractional-order bagley-torvik equation by quadratic finite element method, Design of evolutionary finite difference solver for numerical treatment of computer virus propagation with countermeasures model, Fractional generalised homotopy analysis method for solving nonlinear fractional differential equations, A reliable numerical approach for analyzing fractional variational problems with subsidiary conditions, Local fractional Laplace homotopy analysis method for solving non-differentiable wave equations on Cantor sets, A new efficient algorithm based on feedforward neural network for solving differential equations of fractional order, FRACTIONAL MAYER NEURO-SWARM HEURISTIC SOLVER FOR MULTI-FRACTIONAL ORDER DOUBLY SINGULAR MODEL BASED ON LANE–EMDEN EQUATION
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- An integral operational matrix based on Jacobi polynomials for solving fractional-order differential equations
- Piecewise polynomial collocation for linear boundary value problems of fractional differential equations
- On Haar wavelet operational matrix of general order and its application for the numerical solution of fractional Bagley Torvik equation
- Stochastic numerical treatment for solving Troesch's problem
- Solution of fractional order system of Bagley-Torvik equation using evolutionary computational intelligence
- A new stochastic approach for solution of Riccati differential equation of fractional order
- General solution of the Bagley-Torvik equation with fractional-order derivative
- Application of generalized differential transform method to multi-order fractional differential equations
- A collocation-shooting method for solving fractional boundary value problems
- A new polynomial-time algorithm for linear programming
- A numerical scheme for the solution of multi-order fractional differential equations
- Application of He's variational iteration method to solve semidifferential equations of \(n\)th order
- The solution of the Bagley-Torvik equation with the generalized Taylor collocation method
- Analytical and numerical solutions of multi-term nonlinear fractional orders differential equations
- Haar wavelet operational matrix of fractional order integration and its applications in solving the fractional order differential equations
- The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- Compensatory neural fuzzy network with symbiotic particle swarm optimization for temperature control
- Numerical treatment of nonlinear MHD Jeffery-Hamel problems using stochastic algorithms
- The numerical solution of linear multi-term fractional differential equations: Systems of equations
- Numerical solution of the Bagley-Torvik equation.
- A new neural network for solving quadratic programming problems with equality and inequality constraints
- Analytical solution of the linear fractional differential equation by Adomian decomposition method
- Numerical solution of semidifferential equations by collocation method
- Solution of fractional differential equations by using differential transform method
- Analytical solution of the Bagley-Torvik equation by Adomian decomposition method
- On the Appearance of the Fractional Derivative in the Behavior of Real Materials
- Fractional calculus - A different approach to the analysis of viscoelastically damped structures
- Fractional calculus in the transient analysis of viscoelastically damped structures
- On the Fractional Calculus Model of Viscoelastic Behavior
- The interior-point revolution in optimization: History, recent developments, and lasting consequences
