ON EXISTENCE AND UNIQUENESS OF SOLUTION OF FUZZY FRACTIONAL DIFFERENTIAL EQUATIONS

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ARSHAD S.

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ISSN: 2588-4824

Journal Paper

Paper Information

Journal: Iranian Journal of Fuzzy Systems Year:2013 | Volume:10 | Issue:6 Page(s): 137-151

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Title

ON EXISTENCE AND UNIQUENESS OF SOLUTION OF FUZZY FRACTIONAL DIFFERENTIAL EQUATIONS

Author(s)

ARSHAD S. | Issue Writer Certificate

Keywords

FUZZY NUMBERS

FUZZY FRACTIONAL DIFFERENTIAL EQUATIONS

GOETSCHEL-VOXMAN FUZZY DERIVATIVE

CAUCHY PROBLEM

EXISTENCE AND UNIQUENESS RESULT

Abstract

The purpose of this paper is to study the FUZZY FRACTIONAL DIFFERENTIAL EQUATIONS. We prove that fuzzy fractional differential equation is equivalent to the fuzzy integral equation and then using this equivalence EXISTENCE AND UNIQUENESS RESULT is establish. Fuzzy derivative is consider in the Goetschel-Voxman sense and fractional derivative is consider in the Riemann Liouville sense. At the end, we give the applications of the main result.

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APA: Copy

ARSHAD, S.. (2013). ON EXISTENCE AND UNIQUENESS OF SOLUTION OF FUZZY FRACTIONAL DIFFERENTIAL EQUATIONS. IRANIAN JOURNAL OF FUZZY SYSTEMS, 10(6), 137-151. SID. https://sid.ir/paper/617989/en

Vancouver: Copy

ARSHAD S.. ON EXISTENCE AND UNIQUENESS OF SOLUTION OF FUZZY FRACTIONAL DIFFERENTIAL EQUATIONS. IRANIAN JOURNAL OF FUZZY SYSTEMS[Internet]. 2013;10(6):137-151. Available from: https://sid.ir/paper/617989/en

IEEE: Copy

S. ARSHAD, “ON EXISTENCE AND UNIQUENESS OF SOLUTION OF FUZZY FRACTIONAL DIFFERENTIAL EQUATIONS,” IRANIAN JOURNAL OF FUZZY SYSTEMS, vol. 10, no. 6, pp. 137–151, 2013, [Online]. Available: https://sid.ir/paper/617989/en

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