ORCID Identifiers

0000-0003-0976-6021

Document Type

Article

Source of Publication

Entropy

Publication Date

8-1-2020

Abstract

© 2020 by the authors. This paper is devoted to shedding some light on the advantages of using tight frame systems for solving some types of fractional Volterra integral equations (FVIEs) involved by the Caputo fractional order derivative. A tight frame or simply framelet, is a generalization of an orthonormal basis. A lot of applications are modeled by non-negative functions; taking this into account in this paper, we consider framelet systems generated using some refinable non-negative functions, namely, B-splines. The FVIEs we considered were reduced to a set of linear system of equations and were solved numerically based on a collocation discretization technique. We present many important examples of FVIEs for which accurate and efficient numerical solutions have been accomplished and the numerical results converge very rapidly to the exact ones.

ISSN

1099-4300

Publisher

MDPI AG

Volume

22

Issue

8

First Page

824

Disciplines

Life Sciences

Keywords

Fractional calculus, Framelets, Generalization of unequal error protection (UEP), Harmonic numerical analysis, Numerical solution, Volterra integral equations, Wavelets

Scopus ID

85089089426

Creative Commons License

Creative Commons Attribution 4.0 International License
This work is licensed under a Creative Commons Attribution 4.0 International License.

Indexed in Scopus

yes

Open Access

yes

Open Access Type

Gold: This publication is openly available in an open access journal/series

Included in

Life Sciences Commons

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