Stability estimate for an inverse problem for a fractional kinetic equation via a Carleman inequality
Ismet Golgeleyen, Ozlem Kaytmaz, Muhammed Hasdemir
article (Uluslararası, Hakemli) | Yazar(lar): Ismet Golgeleyen, Ozlem Kaytmaz, Muhammed Hasdemir | Yıl: 2026 | Dergi/Kurum: BOUNDARY VALUE PROBLEMS | İndeks: WOS.SCI | DOI: 10.1186/s13661-026-02272-2 | Anahtar Kelimeler: Fractional kinetic equation, Inverse problem, Stability estimate, Carleman inequality — Özet: Fract
Fractional kinetic equations are used to model complex physical processes, including anomalous diffusion, memory effects, and long-range interactions. In this study, a coefficient inverse problem for a fractional kinetic equation is considered. The stability of the solution to the problem is investigated. For this purpose, the coefficient inverse problem is reduced to an inverse source problem. Then the stability estimate is obtained by means of a Carleman inequality.