Now showing items 1-2 of 2

  • Numerical solution and distinguishability in time fractional parabolic equation 

    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 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 input-output mappings Phi[center dot] : kappa -> C-1[0 T] and psi[center dot] : kappa -> C[0 T] the inverse problem is reduced to the problem of their ...

  • Untitled 

    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 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 input-output 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 ...