Fractional Thermoelasticity

This new edition offers expanded coverage of fractional calculus,including Riemann-Liouville fractional integrals, Riemann-Liouville andCaputo fractional derivatives, Riesz fractional operators, andMittag-Leffler and Wright functions. Additionally, it provides acomprehensive examination of fractional heat conduction and relatedtheories of thermoelasticity. Readers will gain insights into theconcepts of time and space nonlocality and their impact on thegeneralizations of Fourier's law in thermoelasticity. This edition presents a detailed formulation of the problem of heatconduction in different domains and the associated thermal stresses,covering topics such as the fundamental solution to the Dirichletproblem, constant boundary conditions for temperature, and thefundamental solution to the physical Neumann problem. New insights into time-harmonic heat impact on the boundary have alsobeen added. Cracks in the framework of fractional thermoelasticity are alsoconsidered.