Abstract
Fractional calculus is a generalization of differentiation and integration to noninteger order. Recently, this theory has been widely applied in several fields of science and engineering, particularly in the domain of rheology. The study of deformation and flow of material under applied force is the main object of rheology. In this domain, springs and dashpots are mechanical elements describing respectively elastic and viscous behavior of materials. However, some natural materials possess an intermediate character between viscosity and elasticity. They could be described by fractional rheological models like the fractional Scott-Blair model, the fractional Voigt model, and fractional anti-Zener models. In this chapter, we will present some basic properties of rheology in relation with fractional calculus. Then, we will develop some fractional rheological models. The relaxation modulus will be derived by using mathematical techniques, namely the Weyl derivative, the Fox-H function, and Fourier and Mellin transforms.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
