APPROXIMATED SOLUTION OF FIRST ORDER FUZZY DIFFERENTIAL EQUATIONS UNDER GENERALIZED DIFFERENTIABILITY

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ALLAHVIRANLOO T.; AHMADY N.; AHMADY E.

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Journal: JOURNAL OF NEW RESEARCHES IN MATHEMATICS Year:2017 | Volume:3 | Issue:9 Page(s): 33-44

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Title

APPROXIMATED SOLUTION OF FIRST ORDER FUZZY DIFFERENTIAL EQUATIONS UNDER GENERALIZED DIFFERENTIABILITY

Author(s)

ALLAHVIRANLOO T. | AHMADY N. | AHMADY E. | Issue Writer Certificate

Keywords

FUZZY DIFFERENTIAL EQUATIONSQ2

GENERALIZED HUKUHARA DERIVATIVEQ1

NUMERICAL SOLUTIONQ1

Abstract

In this research, a numerical method by piecewise approximated method for solving FUZZY DIFFERENTIAL EQUATIONS is introduced. In this method, the solution by piecewise fuzzy polynomial is present. The base of this method is using fuzzy Taylor expansion on initial value of FUZZY DIFFERENTIAL EQUATIONS.The existence, uniqueness and convergence of the approximate solution are investigated. To show the advantage of method, this method is compared with the Euler method that was introduced in [1], and it is shown this method is more accurate than Euler method for solving FUZZY DIFFERENTIAL EQUATIONS under generalized differentiability.

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APA: Copy

ALLAHVIRANLOO, T., AHMADY, N., & AHMADY, E.. (2017). APPROXIMATED SOLUTION OF FIRST ORDER FUZZY DIFFERENTIAL EQUATIONS UNDER GENERALIZED DIFFERENTIABILITY. JOURNAL OF NEW RESEARCHES IN MATHEMATICS, 3(9), 33-44. SID. https://sid.ir/paper/257228/en

Vancouver: Copy

ALLAHVIRANLOO T., AHMADY N., AHMADY E.. APPROXIMATED SOLUTION OF FIRST ORDER FUZZY DIFFERENTIAL EQUATIONS UNDER GENERALIZED DIFFERENTIABILITY. JOURNAL OF NEW RESEARCHES IN MATHEMATICS[Internet]. 2017;3(9):33-44. Available from: https://sid.ir/paper/257228/en

IEEE: Copy

T. ALLAHVIRANLOO, N. AHMADY, and E. AHMADY, “APPROXIMATED SOLUTION OF FIRST ORDER FUZZY DIFFERENTIAL EQUATIONS UNDER GENERALIZED DIFFERENTIABILITY,” JOURNAL OF NEW RESEARCHES IN MATHEMATICS, vol. 3, no. 9, pp. 33–44, 2017, [Online]. Available: https://sid.ir/paper/257228/en

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