Determination of the Unknown Source Function in Time Fractional Parabolic Equation with Dirichlet Boundary Conditions

Authors

Ebru Ozbilge, Department of Mathematics,Faculty of Science and Literature, Izmir University of Economics,Sakarya Caddesi, No.156, 35330, Balcova - Izmir, TurkeyFollow
Ali Demir, Department of Mathematics,Kocaeli University, Umuttepe,41380,Izmit-Kocaeli,TurkeyFollow
Fatma Kanca, Department of Management Information Systems, Kadir Has University,34083, Istanbul,TurkeyFollow
Emre ?zbilge, Intelligent Systems Research Centre, University of Ulster, Londonderry, UKFollow

Author Country (or Countries)

Turkey

Abstract

This article deals with the mathematical analysis of the inverse problem of identifying the distinguishability of input-output mappings in the linear time fractional inhomogeneous parabolic equation Da t u(x, t)=(k(x)ux)x+r(t)F(x, t) 0

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/100129

Recommended Citation

Ozbilge, Ebru; Demir, Ali; Kanca, Fatma; and ?zbilge, Emre (2016) "Determination of the Unknown Source Function in Time Fractional Parabolic Equation with Dirichlet Boundary Conditions," Applied Mathematics & Information Sciences: Vol. 10: Iss. 1, Article 29.
DOI: http://dx.doi.org/10.18576/amis/100129
Available at: https://digitalcommons.aaru.edu.jo/amis/vol10/iss1/29