Interval discrete fractional calculus and its application to interval fractional di erence equations

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Beigmohamadi R.; KHASTAN A.

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ISSN: 2588-4824

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Journal: Iranian Journal of Fuzzy Systems Year:2021 | Volume:18 | Issue:6 Page(s): 151-166

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Title

Interval discrete fractional calculus and its application to interval fractional di erence equations

Author(s)

Beigmohamadi R. | KHASTAN A. | Issue Writer Certificate

Keywords

Discrete fractional calculusQ2

interval discrete fractional calculusQ2

interval fractional difference equationsQ2

composition rulesQ2

Abstract

In this work, we present some useful results of Discrete fractional calculus for interval-valued functions. 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.

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APA: Copy

Beigmohamadi, R., & KHASTAN, A.. (2021). Interval discrete fractional calculus and its application to interval fractional di erence equations. IRANIAN JOURNAL OF FUZZY SYSTEMS, 18(6 ), 151-166. SID. https://sid.ir/paper/413842/en

Vancouver: Copy

Beigmohamadi R., KHASTAN A.. Interval discrete fractional calculus and its application to interval fractional di erence equations. IRANIAN JOURNAL OF FUZZY SYSTEMS[Internet]. 2021;18(6 ):151-166. Available from: https://sid.ir/paper/413842/en

IEEE: Copy

R. Beigmohamadi, and A. KHASTAN, “Interval discrete fractional calculus and its application to interval fractional di erence equations,” IRANIAN JOURNAL OF FUZZY SYSTEMS, vol. 18, no. 6 , pp. 151–166, 2021, [Online]. Available: https://sid.ir/paper/413842/en

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