دورية أكاديمية
Magnetic field diffusion in ferromagnetic materials: fractional calculus approaches
| العنوان: | Magnetic field diffusion in ferromagnetic materials: fractional calculus approaches |
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| المؤلفون: | Jordan Hristov |
| المصدر: | An International Journal of Optimization and Control: Theories & Applications, Vol 11, Iss 3 (2021) |
| بيانات النشر: | Balikesir University, 2021. |
| سنة النشر: | 2021 |
| المجموعة: | LCC:Applied mathematics. Quantitative methods LCC:Mathematics |
| مصطلحات موضوعية: | Magnetic field, Diffusion approximation, Fractional calculus, Integral method, Memory kernel effect, Applied mathematics. Quantitative methods, T57-57.97, Mathematics, QA1-939 |
| الوصف: | The paper addresses diffusion approximations of magnetic field penetration of ferromagnetic materials with emphasis on fractional calculus applications and relevant approximate solutions. Examples with applications of time-fractional semi-derivatives and singular kernel models (Caputo time fractional operator) in cases of field independent and field-dependent magnetic diffusivities have been developed: Dirichlet problems and time-dependent boundary condition (power-law ramp). Approximate solutions in all theses case have been developed by applications of the integral-balance method and assumed parabolic profile with unspecified exponents. Tow version of the integral method have been successfully implemented: SDIM (single integration applicable to time-fractional semi-derivative model) and DIM (double-integration model to fractionalized singular memory models). The fading memory approach in the sense of the causality concept and memory kernel effect on the model constructions have been discussed. |
| نوع الوثيقة: | article |
| وصف الملف: | electronic resource |
| اللغة: | English |
| تدمد: | 2146-0957 2146-5703 |
| Relation: | http://www.ijocta.org/index.php/files/article/view/1100; https://doaj.org/toc/2146-0957; https://doaj.org/toc/2146-5703 |
| DOI: | 10.11121/ijocta.01.2021.001100 |
| URL الوصول: | https://doaj.org/article/6cdf53be9a86486299f2820689aebdf5 |
| رقم الأكسشن: | edsdoj.6cdf53be9a86486299f2820689aebdf5 |
| قاعدة البيانات: | Directory of Open Access Journals |
Full Text Finder | تدمد: | 21460957 21465703 |
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| DOI: | 10.11121/ijocta.01.2021.001100 |