Browsing by Author "Kanca, Fatma"
Now showing items 114 of 14

Continuous dependence on data for a solution of the quasilinear parabolic equation with a periodic boundary condition
Kanca, Fatma; Baglan, Irem Sakinc (Springer International Publishing Ag, 2013)In this paper we consider a parabolic equation with a periodic boundary condition and we prove the stability of a solution on the data. We give a numerical example for the stability of the solution on the data. 
Determination of a diffusion coefficient in a quasilinear parabolic equation
Kanca, Fatma (De Gruyter Open Ltd, 2017)This paper investigates the inverse problem of finding the timedependent diffusion coefficient in a quasilinear parabolic equation with the nonlocal boundary and integral overdetermination conditions. Under some natural ... 
Determination of an Unknown Heat Source from Integral Overdetermination Condition
Baglan, İrem Sakınç; Kanca, Fatma; Mishra, Vishnu Narayan (Springer International Publishing, 2018)In this research we consider a coefficient problem of an inverse problem of a quasilinear parabolic equation with periodic boundary and integral over determination conditions. We prove the existence uniqueness and continuously ... 
Generalized and numerical solution for a quasilinear parabolic equation with nonlocal conditions
Kanca, Fatma; Baglan, Irem Sakinc (Univ BabesBolyai, 2015)In this paper we study the one dimensional mixed problem with nonlocal boundary conditions for the quasilinear parabolic equation. We prove an existence uniqueness of the weak generalized solution and also continuous ... 
An Inverse Boundary Value Problem for a Second Order Elliptic Equation in a Rectangle
Mehraliyev, Yashar T.; Kanca, Fatma (Vilnius Gediminas Tech Univ, 2014)In this paper the inverse problem of finding a coefficient in a second order elliptic equation is investigated. The conditions for the existence and uniqueness of the classical solution of the problem under consideration ... 
An inverse coefficient problem for a quasilinear parabolic equation with nonlocal boundary conditions
Kanca, Fatma; Bağlan, İrem (Springer International Publishing Ag, 2013)In this paper the inverse problem of finding the timedependent coefficient of heat capacity together with the nonlocal boundary conditions is considered. Under some natural regularity and consistency conditions on the ... 
An inverse coefficient problem for a quasilinear parabolic equation with periodic boundary and integral overdetermination condition
Bağlan, İrem Sakınç; Kanca, Fatma (WileyBlackwell, 2015)In this paper the inverse problem of finding the timedependent coefficient of heat capacity together with the solution periodic boundary and integral overdetermination conditions is considered. Under some natural regularity ... 
Inverse Coefficient Problem for a SecondOrder Elliptic Equation with Nonlocal Boundary Conditions
Kanca, Fatma (Wiley, 2016)In this research article the inverse problem of finding a timedependent coefficient in a secondorder elliptic equation is investigated. The existence and the uniqueness of the classical solution of the problem under ... 
Inverse Coefficient Problem of the Parabolic Equation with Periodic Boundary and Integral Overdetermination Conditions
Kanca, Fatma (Hindawi Publishing Corporation, 2013)This paper investigates the inverse problem of finding a timedependent diffusion coefficient in a parabolic equation with the periodic boundary and integral overdetermination conditions. Under some assumption on the data ... 
An inverse problem for a quasilinear parabolic equation with nonlocal boundary and overdetermination conditions
Kanca, Fatma; Bağlan, İrem Sakınç (Springer International Publishing Ag, 2014)In this paper the inverse problem of finding the timedependent coefficient of heat capacity together with the solution of heat equation with nonlocal boundary conditions is considered. Under some natural regularity and ... 
The inverse problem of the heat equation with periodic boundary and integral overdetermination conditions
Kanca, Fatma (Springer International Publishing Ag, 2013)In this paper the inverse problem of finding the timedependent coefficient of heat capacity together with the solution of a heat equation with periodic boundary and integral overdetermination conditions is considered. The ... 
Numerical solution and distinguishability in time fractional parabolic equation
Demir, Ali; Kanca, Fatma; Ozbilge, Ebru (Springer International Publishing Ag, 2015)This article deals with the mathematical analysis of the inverse problem of identifying the distinguishability of inputoutput mappings in the linear time fractional inhomogeneous parabolic equation D(t)(alpha)u(x t) = ... 
Twodimensional inverse quasilinear parabolic problem with periodic boundary condition
Baglan, İrem Sakınç; Kanca, Fatma (Taylor & Francis Ltd, 2019)In this study we consider a coefficient problem of a quasilinear twodimensional parabolic inverse problem with periodic boundary and integral over determination conditions. We prove the existence uniqueness and continuously ... 
Weak generalized and numerical solution for a quasilinear pseudoparabolic equation with nonlocal boundary condition
Bağlan, İrem Sakınç; Kanca, Fatma (Springer International Publishing, 2014)This paper investigates the one dimensional mixed problem with nonlocal boundary conditions for the quasilinear parabolic equation. Under some natural regularity and consistency conditions on the input data the existence ...