Mathematical Methods in Dynamical Systems

8Numerical Simulation for Time Fractional Integro Partial Differential Equations Arising in Viscoelastic Dynamical System

Jugal Mohapatra and Sudarshan Santra

DOI: 10.1201/9781003328032-8

Contents

• 8.1 Introduction

• 8.2 Some Preliminaries

• 8.3 Numerical Discretization

• 8.4 Convergence Analysis

• 8.5 Multi-Term Time Fractional Integro PDES

• 8.6 Numerical Experiments

• 8.7 Concluding Remarks

• References

8.1 INTRODUCTION

The study on fractional calculus gains more attention of many researchers in recent times, due to its immense applicability to define various models, such as viscoelastic damped structure [1], the model due to radiative transfer [2], the theory of linear transport [3], and the mathematical structure due to kinetic energy of gases ...