Mathematical Methods in Dynamical Systems

9From Continuous Time Random Walk Models to Human Decision-Making ModellingA Fractional Perspective

Amir Hosein Hadian Rasanan, Mohammad Mahdi Moayeri, Jamal Amani Rad and Kourosh Parand

DOI: 10.1201/9781003328032-9

Contents

• 9.1 Introduction

  • 9.1.1 A Brief Review of Other Methods Existing in the Literature

• 9.2 Preliminaries and Notations

  • 9.2.1 Lagrange Polynomials

  • 9.2.2 Developed Lagrange Functions

• 9.3 Methodology

  • 9.3.1 Neural Network Architecture for DFODE

  • 9.3.2 Neural Network Architecture for DFPDE

• 9.4 Numerical Experiments

  • 9.4.1 Test Problem 1

  • 9.4.2 Test Problem 2

  • 9.4.3 Test Problem 3

  • 9.4.4 Test Problem 4

  • 9.4.5 Test Problem 5

  • 9.4.6 Test Problem 6

  • 9.4.7 Test Problem 7

• 9.5 Conclusion and Discussions

• References

9.1 INTRODUCTION ...