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Title: Fractional differential equations and Volterra–Stieltjes integral equations of the second kind
Author: Asanov, Avyt
Almeida, Ricardo
Malinowska, Agnieszka B.
Keywords: Fractional differential equation
Volterra–Stieltjes integral equation
Generalized midpoint rule
Issue Date: Dec-2019
Publisher: Springer
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.
Peer review: yes
DOI: 10.1007/s40314-019-0941-2
ISSN: 2238-3603
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DMat - Artigos
SCG - Artigos

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