Predicting the solution of fractional order differential equations with Artificial Neural Network

• Published in: Partial differential equations in applied mathematics : a spin-off of Applied Mathematics Letters Vol. 10; p. 100690
• Main Authors: Khan, A.M., Gaur, Sanjay, Suthar, D.L.
• Format: Journal Article
• Language: English
• Published: Elsevier B.V 01.06.2024; Elsevier
• Subjects: 34K37; 41A10; 68T07; Approximation using quadrature method; Back propagation algorithm; Caputo fractional derivative operator; Unsupervised learning; Approximation using quadrature method; Caputo fractional derivative operator; 41A10; 34K37; 68T07; Back propagation algorithm; Unsupervised learning

The present paper aims to propose an approximation method of Caputo fractional operator using discretization based on quadrature theory to minimize the error function for an Artificial Neural Network (ANN) with higher convergence rate. In the proposed work authors have verified the suitability of mu...