ABSTRACT
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 [4]. A detailed investigation about the application of fractional differential as well as fractional integro-differential equation is available in [5–7]. The general form of a fractional derivative viscoelastic models can be written as: https://www.w3.org/1998/Math/MathML"> X ( t ) + ∑ m = 1 M a m D t α m X ( t ) = E 0 Y ( t ) + ∑ n = 1 N E n D t β n Y ( t ) , https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9781003328032/39998614-bd30-4270-a56c-d58717d36a18/content/math8_1.tif" xmlns:xlink="https://www.w3.org/1999/xlink"/>
