دورية
INverse Source Problem for a Space-Time Fractional Diffusion Equation
| العنوان: | INverse Source Problem for a Space-Time Fractional Diffusion Equation |
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| المؤلفون: | Ali, Muhammad, Aziz, Sara, Malik, Salman A. |
| المصدر: | Fractional Calculus and Applied Analysis; June 2018, Vol. 21 Issue: 3 p844-863, 20p |
| مستخلص: | For a space-time fractional diffusion equation, an inverse problem of determination of a space dependent source term along with the solution is considered. The fractional derivatives in time and space are defined in the sense of Caputo. Due to an over-specified data at final time say T, we proved that there exists a unique solution of the inverse source problem. We use the eigenfunction expansion method to prove our main results. Several special cases of space-time fractional diffusion equations are discussed and results are interpolated from generalized results. Some examples are provided. |
| قاعدة البيانات: | Supplemental Index |
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