Fractional Thermoelasticity by Yuriy Povstenko - 9783031645891

Fractional ThermoelasticityAuthor(s): Yuriy Povstenko\nFormat: Paperback\nPublisher: Springer International Publishing AG, Switzerland\nImprint: Springer International Publishing AG\nISBN-13: 9783031645891, 978-3031645891\nSynopsis\nThis new edition offers expanded coverage of fractional calculus,including RiemannLiouville fractional integrals, RiemannLiouville 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.\n\nThis 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,.