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논문 기본 정보
- 자료유형
- 학술대회자료
- 저자정보
- 발행연도
- 2021.11
- 수록면
- 472 - 475 (4page)
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초록· 키워드
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Notably, the new time-fractional derivatives are employed to better portraying the behavior of some complex thermal processes in which the history of the process plays an important role. We propose investigating a one-dimensional heat conduction process described by a fractional constitutive equation of thermal flux based on the generalized Atangana-Baleanu fractional derivative. The analytical solution for the fractional heat conduction equation and adequate initial-boundary conditions is obtained using the Laplace transform method and Mittag-Leffler functions. The solution of the general case is suitable for customizations and allows obtaining solutions corresponding to Caputo, Caputo-Fabrizio, and Atangana-Baleanu derivatives. The case corresponding to the classical Cattaneo heat flux is also obtained by customizing the general solution.
목차
Abstract
1. Introduction
2. Generalized Cattaneo heat conduction equations
3. Solution of the problem
4. Comparison between generalized and classical model
5. Other comparisons
6. Conclusion
References
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