Inverse source problem for two-term time-fractional diffusion equation with nonlocal boundary conditions
Derbissaly B. Kirane M. Sadybekov M.
June 2024Elsevier Ltd
Chaos, Solitons and Fractals
2024#183
This paper explores an inverse source problem related to the heat equation, incorporating nonlocal boundary conditions and featuring two-term time-fractional derivatives. The task is to identify a source term that is independent of the spatial variable, as well as to define the temperature distribution based on energy measurements. Since the stated problem cannot be solved by direct use of the generalized Fourier method, we divide the problem into two sub-problems. The well-posedness of each problem is established through the application of the generalized Fourier method.
Binomial Mittag-Leffler function , Fourier series keyword , Fractional diffusion equation , Inverse source problem , Nonlocal boundary condition
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