Article

Determination of a diffusion coefficient and a source control term for a time fractional diffusion equation with integral type overdetermining conditions

Kibriyo AmrilloyevaBukhara State University, 11, M.Ikbol str., Bukhara 200114, UzbekistanD. AkramovaBukhara State University, 11, M.Ikbol str., Bukhara 200114, UzbekistanShuhrat JuraevBukhara State University, 11, M.Ikbol str., Bukhara 200114, UzbekistanJamshid ErgashovJizzakh State Pedagogical University, 4, Sharof Rashidov str., Jizzakh 130100, Uzbekistan

AIP conference proceedingsjournal2024en

ABI

Abstract

We consider a non-linear heat equation involving a fractional derivative in time, with a nonlocal boundary condition. We determine a diffusion and a source control term of the time variable, and the temperature distribution for a problem with two over-determining condition of integral type. We prove the existence and uniqueness of the solution, and its continuous dependence on the data.

Topics

Fractional Differential Equations Solutions Numerical methods in inverse problems Differential Equations and Boundary Problems

Identifiers

DOI: 10.1063/5.0200382

Citations and references

Cited by 010 references

Metrics — AkademScholar