Abstract
The space-time fractional heat conduction equation with the Caputo time fractional derivative and the Riesz fractional Laplace operator is investigated. The fundamental solutions to the Cauchy and source problems as well as associated thermal stresses are found in the case of spherical symmetry. The numerical results for temperature and stresses are presented graphically for various orders of space and time derivatives.
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Povstenko, Y. (2013). Fundamental Solutions to the Central Symmetric Space-Time Fractional Heat Conduction Equation and Associated Thermal Stresses. In: Mitkowski, W., Kacprzyk, J., Baranowski, J. (eds) Advances in the Theory and Applications of Non-integer Order Systems. Lecture Notes in Electrical Engineering, vol 257. Springer, Heidelberg. https://doi.org/10.1007/978-3-319-00933-9_10
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DOI: https://doi.org/10.1007/978-3-319-00933-9_10
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