Please use this identifier to cite or link to this item:
|Title:||Fractional differential equations and Volterra–Stieltjes integral equations of the second kind|
Malinowska, Agnieszka B.
|Keywords:||Fractional differential equation|
Volterra–Stieltjes integral equation
Generalized midpoint rule
|Abstract:||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.|
|Appears in Collections:||CIDMA - Artigos|
DMat - Artigos
SCG - Artigos
Files in This Item:
|Asanov_et_al-2019-Computational_and_Applied_Mathematics.pdf||651.66 kB||Adobe PDF||View/Open|
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.