Povstenko, Yuriy. creator author. aut http://id.loc.gov/vocabulary/relators/aut SpringerLink (Online service) text sz 2024 2nd ed. 2024. monographic eng

electronic

electronic resource

access XVII, 447 p. 221 illus., 75 illus. in color. online resource. This new edition presents an expanded coverage of fractional calculus, including topics such as Riemann–Liouville fractional integrals, Riemann–Liouville and Caputo fractional derivatives, Riesz fractional operators, and Mittag-Leffler functions and Wright functions. Additionally, this revised edition provides a comprehensive examination of fractional heat conduction and its related theories of thermoelasticity. The reader will gain insights into the concepts of time and space nonlocality, as well as their impact on the generalizations of the Fourier law in thermoelasticity. New insights into radial heat conduction in a sphere were also added; this edition presents a detailed formulation of the problem of radial heat conduction in a sphere and the associated thermal stresses. It covers topics such as the fundamental solution to the Dirichlet problem, constant boundary conditions for temperature, and the fundamental solution to the physical Neumann problem. 1. Essentials of Fractional Calculus -- 2. Fractional Heat Conduction and Related Theories of Thermoelasticity -- 3. Thermoelasticity Based on Time-Fractional Heat Conduction Equation in Polar Coordinates -- 4. Axisymmetric Problems in Cylindrical Coordinates -- 5. Thermoelasticity Based on Time-Fractional Heat Conduction Equation in Spherical Coordinates. by Yuriy Povstenko. Thermodynamics Heat engineering Heat transfer Mass transfer Physics Mathematical physics Engineering Thermodynamics, Heat and Mass Transfer Classical and Continuum Physics Mathematical Physics TJ265 TP156.M3 9783031645877 https://doi.org/10.1007/978-3-031-64587-7 https://doi.org/10.1007/978-3-031-64587-7 240826 20251030112912.0 978-3-031-64587-7