Fractional differential equations and Volterra–Stieltjes integral equations of the second kind

Avıt ASANOV

In this paper, we construct a method to find approximate solutions to fractional differential equations involving fractional derivatives with respect to another function. The method is based on an equivalence relation between the fractional differential equation and the Volterra-Stieltjes integral equation of the second kind. The generalized midpoint rule is applied to solve numerically the integral equation and an estimation for the error is given. Results of numerical experiments demonstrate that satisfactory and reliable results could be obtained by the proposed method.

Статья 2019 Fen Fakültesi Computational and Applied Mathematics38 ( 4-UNSP 160 ) 53 Просмотры

About Uniqueness of Solutions of Fredholm Linear Integral Equations of the First Kind in the Axis

Avıt ASANOV

In this work, we apply the method of integral transformation to prove uniqueness theorems for the new class of Fredholm linear integral equations of the first kind in the axis.

Доклады конференции 2019 Fen Fakültesi Filomat33 ( 5 ) 105 Просмотры

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Fractional differential equations and Volterra–Stieltjes integral equations of the second kind

Avıt ASANOV

About Uniqueness of Solutions of Fredholm Linear Integral Equations of the First Kind in the Axis

Avıt ASANOV