Interval discrete fractional calculus and its application to interval fractional difference equations

In this work, we present some useful results of discrete fractional calculus for \ivf s. The composition rules for interval fractional operators are introduced, which are used to construct the general form of the solutions to nonlinear interval fractional difference equations. An illustrative exampl...

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Bibliographic Details
Published in:Iranian journal of fuzzy systems (Online) 2021-11, Vol.18 (6), p.151
Main Authors: Beigmohamadi, R, Khastan, A
Format: Article
Language:English
Subjects:
Calculus
Mathematical functions
Numbers
Online Access:Get full text
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Summary:In this work, we present some useful results of discrete fractional calculus for \ivf s. The composition rules for interval fractional operators are introduced, which are used to construct the general form of the solutions to nonlinear interval fractional difference equations. An illustrative example is provided in which the method of recursive iterations is applied to obtain explicit formulas for the solutions of linear interval fractional difference equations.
ISSN:1735-0654
2676-4334
DOI:10.22111/ijfs.2021.6339