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Asanov, A., Almeida, R. and Malinowska, A.B. (2019) Fractional Differential Equations and Volterra-Stieltjes Integral Equations of the Second Kind. Computational and Applied Mathematics, 38, Article No. 160.
https://doi.org/10.1007/s40314-019-0941-2

has been cited by the following article:

• TITLE: Regularization and Choice of the Parameter for the Third Kind Nonlinear Volterra-Stieltjes Integral Equation Solutions

  AUTHORS: Nurgul Bedelova, Avyt Asanov, Zhypar Orozmamatova, Zhypargul Abdullaeva

  KEYWORDS: Regularization, Solutions, Nonlinear Volterra-Stieltjes Integral Equations, Third Kind, Choice of Regularization Parameter

  JOURNAL NAME: International Journal of Modern Nonlinear Theory and Application, Vol.10 No.2, May 26, 2021

  ABSTRACT: The article is considering the third kind of nonlinear Volterra-Stieltjes integral equations with the solution by Lavrentyev regularizing operator. A uniqueness theorem was proved, and a regularization parameter was chosen. This can be used in further development of the theory of the integral equations in non-standard problems, classes in the numerical solution of third kind Volterra-Stieltjes integral equations, and when solving specific problems that lead to equations of the third kind.