Yazarlar

  • BildiriYalnız künye2016
    Stability estimates for solution of IBVP to fractional parabolic differential and difference equations

    Ashyralyev, Allaberen; Cakir, Zafer; Lukashov, A.; Ashyralyev, A.

    In this work, we investigate initial-boundary value problems for fractional parabolic equations with the Neumann boundary condition. Stability estimates for the solution of this problem are established. Difference schemes for approximate solution of initial-boundary value problem are constructed. Furthermore, we give theorem on coercive stability estimates for the solution of the difference schemes.

  • MakaleYalnız künye2014Scopus SJRQ3
    Well-posedness of fractional parabolic differential and difference equations with Dirichlet-Neumann conditions

    Ashyralyev, Allaberen; Emirov, Nazar; Cakir, Zafer

    We study initial-boundary value problems for fractional parabolic equations with the Dirichlet-Neumann conditions. We obtain a stable difference schemes for this problem, and obtain theorems on coercive stability estimates for the solution of the first order of accuracy difference scheme. A procedure of modified Gauss elimination method is applied for the solution of the first and second order of accuracy difference schemes of one-dimensional fractional parabolic differential equations.

    AtıfScopus12WoS6
    ScopusWeb of Scienceİncele
  • BildiriYalnız künye2014
    A note on fractional parabolic differential and difference equations

    Ashyralyev, Allaberen; Artykov, Merdan; Cakir, Zafer; Ashyralyev, A; Malkowsky, E

    In this work, the first and second order of difference schemes that approximately solve the initial-boundary value problem for multidimensional fractional parabolic equation with Dirichlet boundary condition are presented. The stability estimates for the solution of these difference schemes are established.

    AtıfScopus5WoS3OpenAlex4
    ScopusWeb of Scienceİncele
  • BildiriYalnız künye2012
    Fractional parabolic differential and difference equations with the Dirichlet-Neumann condition

    Ashyralyev, Allaberen; Emirov, Nazar; Cakir, Zafer; Ashyralyev, A; Lukashov, A

    The multidimensional fractional parabolic equation with the Dirichlet-Neumann condition is studied. Stability estimates for the solution of the initial-boundary value problem for this fractional parabolic equation are established. The stable difference schemes for this problem are presented. Stability estimates for the solution of the first order of accuracy difference scheme are obtained. A procedure of modified Gauss elimination method is applied for the solution of first and second order of accuracy difference schemes of one-dimensional fractional parabolic differential equations.

    AtıfScopus2WoS1OpenAlex1
    ScopusWeb of Scienceİncele