Abstract
In this chapter, we consider theory of thermal stresses based on the space-time fractional heat conduction equation with the Caputo fractional derivative with respect to time describing time-nonlocality and the fractional Laplace operator (Riesz operator) with respect to spatial variables describing space-nonlocality. Fundamental solutions to the Cauchy and source problems for axisymmetric equation in polar coordinates and central symmetric equation in spherical coordinates are obtained using the integral transform technique. Numerical results are illustrated graphically for different values of order of time- and space-fractional derivatives.
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.
