A novel study on a fractional-order heat conduction model for the human head by using the least-squares method

Kumar P., Ertürk V. S., Harley C.

International Journal of Dynamics and Control, vol.11, no.3, pp.1040-1049, 2023 (Scopus) identifier

  • Publication Type: Article / Article
  • Volume: 11 Issue: 3
  • Publication Date: 2023
  • Doi Number: 10.1007/s40435-022-01051-y
  • Journal Name: International Journal of Dynamics and Control
  • Journal Indexes: Scopus
  • Page Numbers: pp.1040-1049
  • Keywords: Boundary value problems, Fractional derivatives, Heat conduction, Human head, Numerical method
  • Ondokuz Mayıs University Affiliated: Yes


In this research article, a model of the temperature distribution in the human skull is considered by using the Caputo fractional derivative. When interfering thermometry is lacking, these models are quite useful in estimating the temporal course of temperatures. The given model is numerically solved with the application of the polynomial least-squares scheme. We study various fractional-order cases to simulate the proposed phenomena more clearly compared to the previously proposed integer-order studies. The motivation behind this study is to involve memory effects in the model by using fractional time derivatives.