vbid/9783031645877

Description

This new edition offers expanded coverage of fractional calculus,�including Riemann�Liouville fractional integrals, Riemann�Liouville and�Caputo fractional derivatives, Riesz fractional operators, and�Mittag-Leffler and Wright functions. Additionally, it provides a�comprehensive examination of fractional heat conduction and related�theories of thermoelasticity. Readers will gain insights into the�concepts of time and space nonlocality and their impact on the�generalizations of Fourier’s law in thermoelasticity. This edition presents a detailed formulation of the problem of heat�conduction in different domains and the associated thermal stresses,�covering topics such as the fundamental solution to the Dirichlet�problem, constant boundary conditions for temperature, and the�fundamental solution to the physical Neumann problem. New insights into time-harmonic heat impact on the boundary have also�been added.� Cracks in the framework of fractional thermoelasticity are also�considered.Typham this is the title: Fractional Thermoelasticity 2nd Edition