A two‐dimensional diffusion coefficient determination problem for the time‐fractional equation
D. K. Durdiev, Askar Rahmonov, Zavqiddin Bozorov
Abstract
In this paper, we consider two‐dimensional inverse problem for a fractional diffusion equation. The inverse problem is reduced to the equivalent integral equation. For solving this equation, the contracted mapping principle is applied. The local existence and global uniqueness results are proven. Also, the stability estimate is obtained.
Topics & Concepts
MathematicsUniquenessDiffusion equationInverse problemMathematical analysisStability (learning theory)DiffusionInverseApplied mathematicsGeometryComputer scienceEconomyEconomicsPhysicsThermodynamicsMachine learningService (business)Fractional Differential Equations SolutionsNumerical methods in inverse problemsNonlinear Differential Equations Analysis