Browsing by Author "Demir, Ali"
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Numerical solution and distinguishability in time fractional parabolic equation
Authors:Demir, Ali; Kanca, Fatma; Ozbilge, Ebru
Publisher and Date:(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) = (k(x)u(x))(x) + r(t)F(x t) 0 < alpha = 1 with mixed boundary conditions u(0 t) = psi(0)(t) u(x)(1 t) = psi(1)(t). By defining the inputoutput mappings Phi[center dot] : kappa > C1[0 T] and psi[center dot] : kappa > C[0 T] the inverse problem is reduced to the problem of their ...

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Authors:Özbilge, Ebru; Demir, Ali; Kanca, Fatma; Özbilge, Emre
Publisher and Date:(Natural Sciences Publishing USA, 2016)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 Dt α u(x, t)=(k(x)ux)x+r(t)F(x, t) 0 < α ≤ 1, with Dirichlet boundary conditions u(0, t) = Ψ0(t), u(1, t) = Ψ1(t). By defining the inputoutput mappings Φ[·]: K →C1[0,T ] and Ψ[·]: K → C1[0,T] the inverse problem is reduced to the problem of their invertibility. Hence, the main purpose of this study ...