Time-Fractional Heat Conduction with Heat Absorption in a Half-Line Domain Due to Boundary Value of the Heat Flux Varying Harmonically in Time

Author:

Povstenko YuriyORCID,Kyrylych TamaraORCID

Publisher

Springer International Publishing

Reference46 articles.

1. Abramowitz, M., Stegun, I.A. (eds.): Handbook of Mathematical Functions with Formulas, Graphs and Mathematical Tables. Dover, New York (1972)

2. Abuteen, E., Freihat, A., Al-Smadi, M., Khalil, H., Khan, R.A.: Approximate series solution of nonlinear, fractional Klein-Gordon equations using fractional reduced differential transform method. J. Math. Stat. 12, 23–33 (2016). https://doi.org/10.3844/jmssp.2016.23.33

3. Carslaw, H.S., Jaeger, J.C.: Conduction of Heat in Solids, 2nd edn. Oxford University Press, Oxford (1959)

4. Cui, Z., Chen, G., Zhang, R.: Analytical solution for the time-fractional Pennes bioheat transfer equation on skin tissue. Adv. Mater. Res. 1049–1050, 1471–1474 (2014). https://doi.org/10.4028/www.scientific.net/AMR.1049-1050.1471

5. Crank, J.: The Mathematics of Diffusion, 2nd edn. Clarendon Press, Oxford (1975)

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