Inverse problem for a multi-parameters space-time fractional diffusion equation with nonlocal boundary conditions: operational calculus approach

التفاصيل البيبلوغرافية
العنوان: Inverse problem for a multi-parameters space-time fractional diffusion equation with nonlocal boundary conditions: operational calculus approach
المؤلفون: Ali, Muhammad, Aziz, Sara, Malik, Salman A.
المصدر: Journal of Pseudo-Differential Operators and Applications; March 2022, Vol. 13 Issue: 1
مستخلص: An inverse problem for determining a time dependent source term and diffusion concentration for a diffusion equation involving n+1Caputo fractional derivatives of different orders in time (multi-parameters) is considered. The spectral problem involves the composition of Caputo and Riemann–Liouville fractional derivatives. The existence of unique solution of the inverse problem is proved by using different estimates of multinomial Mittag-Leffler function.
قاعدة البيانات: Supplemental Index
الوصف
تدمد:16629981
1662999X
DOI:10.1007/s11868-021-00434-7