دورية
On the recovery of a time dependent diffusion coefficient for a space fractional diffusion equation
| العنوان: | On the recovery of a time dependent diffusion coefficient for a space fractional diffusion equation |
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| المؤلفون: | Ali, Muhammad, Aziz, Sara, Malik, Salman A. |
| المصدر: | Analysis and Mathematical Physics; September 2021, Vol. 11 Issue: 3 |
| مستخلص: | An inverse problem of recovering a time dependent diffusion coefficient for a space-fractional diffusion equation has been considered. The space fractional derivative of order 1<α<2is defined in the sense of Caputo. Due to an over-determination condition of integral type, we construct a mapping. Under certain conditions on the given data and application of Banach fixed point theorem ensured the unique local existence of the solution, moreover local solution is proved to be classical. The global existence of the solution of the inverse problem is shown by using Schauder fixed point theorem. Examples are also provided to support our analysis. |
| قاعدة البيانات: | Supplemental Index |
Find this article in full text from Springer Verlag. 
Full Text Finder | تدمد: | 16642368 1664235X |
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| DOI: | 10.1007/s13324-021-00537-w |