Advances in the Theory of Nonlinear Analysis and its Application

Yazarlar: ["Ha VO THİ THANH Bu kişi benim", "Ngo HUNG", "Nguyen Duc PHUONG"]

Konular:-

DOI:10.31197/atnaa.1079951

Anahtar Kelimeler:Inverse source problem,Fractional diffusion equation,Inverse problem,Inverse source problem,Regularization

Özet: In this paper, we study inverse source for diffusion equation with conformable derivative: $CoD_{t}^{(\gamma)}u - \Delta u = \Phi(t) \mathcal{F}(x)$, where $0<\gamma<1,~ (x,t) \in \Omega \times (0,T)$. We survey the following issues: The error estimate between the sought solution and the regularized solution under a priori parameter choice rule The error estimate between the sought solution and the regularized solution under a posteriori \\ parameter choice rule Regularization and ${\mathscr L}_{p}$ estimate by Truncation method.

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