APPROXIMATING THE FUZZY SOLUTION OF THE NON-LINEAR FUZZY VOLTERRA INTEGRO-DIFFERENTIAL EQUATION USING FIXED POINT THEOREMS

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RAHIMI H.R.; KHEZERLOO S.; KHEZERLOO M.

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Journal Paper

Paper Information

Journal: INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS Year:2011 | Volume:3 | Issue:3 Page(s): 227-236

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Title

APPROXIMATING THE FUZZY SOLUTION OF THE NON-LINEAR FUZZY VOLTERRA INTEGRO-DIFFERENTIAL EQUATION USING FIXED POINT THEOREMS

Author(s)

RAHIMI H.R. | KHEZERLOO S. | KHEZERLOO M. | Issue Writer Certificate

Keywords

FUZZY INTEGRO-DIFFERENTIAL EQUATION

FIXED POINT

FUZZY NUMBERS

Abstract

In this paper, the fuzzy solution of non-linear fuzzy Volterra integro-differential equation (NFIDE) is approximated. To do this, we define a sequence of fuzzy functions which approximate the fuzzy solution of this type of equations and finally, we estimate upper bound of the error.

Cites

PIECEWISE CONSTANT CONTROLLED LINEAR FUZZY SYSTEMS

References

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APA: Copy

RAHIMI, H.R., KHEZERLOO, M., & KHEZERLOO, S.. (2011). APPROXIMATING THE FUZZY SOLUTION OF THE NON-LINEAR FUZZY VOLTERRA INTEGRO-DIFFERENTIAL EQUATION USING FIXED POINT THEOREMS. INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS, 3(3), 227-236. SID. https://sid.ir/paper/574150/en

Vancouver: Copy

RAHIMI H.R., KHEZERLOO M., KHEZERLOO S.. APPROXIMATING THE FUZZY SOLUTION OF THE NON-LINEAR FUZZY VOLTERRA INTEGRO-DIFFERENTIAL EQUATION USING FIXED POINT THEOREMS. INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS[Internet]. 2011;3(3):227-236. Available from: https://sid.ir/paper/574150/en

IEEE: Copy

H.R. RAHIMI, M. KHEZERLOO, and S. KHEZERLOO, “APPROXIMATING THE FUZZY SOLUTION OF THE NON-LINEAR FUZZY VOLTERRA INTEGRO-DIFFERENTIAL EQUATION USING FIXED POINT THEOREMS,” INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS, vol. 3, no. 3, pp. 227–236, 2011, [Online]. Available: https://sid.ir/paper/574150/en

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