Litcius/Paper detail

ON THE INVERSE PROBLEMS FOR A FAMILY OF INTEGRO-DIFFERENTIAL EQUATIONS

Kamran Suhaib, Asim Ilyas, Salman A. Malik

2023Mathematical Modelling and Analysis12 citationsDOIOpen Access PDF

Abstract

An integro-differential equation involving arbitrary kernel in time variable with a family of non-local boundary condition has been considered. Two inverse source problems for integro-differential equations are formulated and the unique-existence results for the solution of inverse source problems are presented. Some particular examples in support of our analysis are discussed.

Topics & Concepts

MathematicsInverseIntegro-differential equationDifferential equationInverse problemKernel (algebra)Boundary value problemMathematical analysisVariable (mathematics)Applied mathematicsFirst-order partial differential equationPure mathematicsGeometryNumerical methods in inverse problemsFractional Differential Equations SolutionsStability and Controllability of Differential Equations