FUZZY LOCAL FRACTIONAL DIFFERENTIAL EQUATIONS

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ABBASBANDI S.; ALAH VIRANLOU T.; BALOOCH SHAHRYARI M.R.; SALAHSHOUR S.

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Paper Information

Journal: INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS Year:2012 | Volume:4 | Issue:3 Page(s): 231-246

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Title

FUZZY LOCAL FRACTIONAL DIFFERENTIAL EQUATIONS

Author(s)

ABBASBANDI S. | ALAH VIRANLOU T. | BALOOCH SHAHRYARI M.R. | SALAHSHOUR S. | Issue Writer Certificate

Keywords

FUZZY RIEMANN-LIOUVILLE DIFFERENTIABILITYQ2

FUZZY KOLWANKAR-GANGAL LOCAL FRACTIONAL DIFERENTIABILITYQ2

FUZZY LOCAL FRACTIONAL DIFFERENTIAL EQUATIONS (FLFDES)Q2

MITTAG-LEFFLER FUNCTIONQ2

FUZZY-VALUED FUNCTIONQ2

Abstract

In this paper, we propose a new type of fuzzy fractional differential equations under fuzzy Kolwankar- Gangal local fractional derivatives (for short, fuzzy KG-LFD) using FUZZY RIEMANN-LIOUVILLE DIFFERENTIABILITY. Then, we prove some basic results in this area like, the relation between different types of fuzzy KG-LFD and their r-cut representations, composition of the fuzzy KG-LFD and the fuzzy local fractional integral. Also, an application is provided in details such that the explicit solutions are expressed through MITTAG-LEFFLER FUNCTION.

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APA: Copy

ABBASBANDI, S., ALAH VIRANLOU, T., BALOOCH SHAHRYARI, M.R., & SALAHSHOUR, S.. (2012). FUZZY LOCAL FRACTIONAL DIFFERENTIAL EQUATIONS. INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS, 4(3), 231-246. SID. https://sid.ir/paper/231788/en

Vancouver: Copy

ABBASBANDI S., ALAH VIRANLOU T., BALOOCH SHAHRYARI M.R., SALAHSHOUR S.. FUZZY LOCAL FRACTIONAL DIFFERENTIAL EQUATIONS. INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS[Internet]. 2012;4(3):231-246. Available from: https://sid.ir/paper/231788/en

IEEE: Copy

S. ABBASBANDI, T. ALAH VIRANLOU, M.R. BALOOCH SHAHRYARI, and S. SALAHSHOUR, “FUZZY LOCAL FRACTIONAL DIFFERENTIAL EQUATIONS,” INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS, vol. 4, no. 3, pp. 231–246, 2012, [Online]. Available: https://sid.ir/paper/231788/en

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