Numerical Solution Of Fuzzy Initial Value Problems Under Generalized Differentiability By Hpm

GHANBARI M.

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Journal: INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS 2009 , Volume 1 , Number 1; Page(s) 19 To 39.

Paper: Numerical Solution Of Fuzzy Initial Value Problems Under Generalized Differentiability By Hpm



Author(s): Ghanbari M.*

* DEPARTMENT OF MATHEMATICS, MAZANDARAN UNIVERSITY, BABOLSAR, IRAN

Abstract: In this work, the Homotopy Perturbation Method (HPM) is implemented for finding approximate solution of the Fuzzy Initial Value Problem (FIVP) involving generalized differentiability.This method is based upon homotopy perturbation theory. The comparison of the exact solution with approximate solution obtained by HPM is in detail. The results reveal that the method is very effective and simple.

Keyword(s): FUZZY NUMBERS, FUZZY DIFFERENTIAL EQUATIONS, GENERALIZED DIFFERENTIABILITY, HOMOTOPY PERTURBATION METHOD



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Citations: Babolian E., et al. "AN IMPROVEMENT TO THE HOMOTOPY PERTURBATION METHOD FOR SOLVING INTEGRO-DIFFERENTIAL EQUATIONS." INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS 4.4 (2012): 353-363. Barkhordari ahmadi M., et al. "DIFFERENTIAL TRANSFORMATION METHOD FOR SOLVING FUZZY DIFFERENTIAL INCLUSIONS BY FUZZY PARTITIONS." INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS 5.3 (2013): 237-249. Ramazannia tolouti S.J., et al. "FUZZY LAPLACE TRANSFORM ON TWO ORDER DERIVATIVE AND SOLVING FUZZY TWO ORDER DIFFERENTIAL EQUATIONS." INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS 2.4 (2010): 279-293. Plotnikov A.V., et al. "NECESSARY AND SUFFICIENT OPTIMALITY CONDITIONS FOR A CONTROL FUZZY LINEAR PROBLEM." INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS 1.3 (2009): 197-207. Plotnikov andrej V., et al. "PIECEWISE CONSTANT CONTROLLED LINEAR FUZZY SYSTEMS." INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS 4.2 (2012): 1-9. Ezzati R., et al. "SOLVING THE NON-LINEAR SYSTEM OF THIRD-ORDER BOUNDARY VALUE PROBLEMS BY USING HE’S HOMOTOPY PERTURBATION METHOD." INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS 1.4 (2009): 351-363.

+ Click to Cite. APA: Copy GHANBARI, M. (2009). NUMERICAL SOLUTION OF FUZZY INITIAL VALUE PROBLEMS UNDER GENERALIZED DIFFERENTIABILITY BY HPM. INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS, 1(1), 19-39. https://www.sid.ir/en/journal/ViewPaper.aspx?id=199935 Vancouver: Copy GHANBARI M.. NUMERICAL SOLUTION OF FUZZY INITIAL VALUE PROBLEMS UNDER GENERALIZED DIFFERENTIABILITY BY HPM. INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS. 2009 [cited 2022May20];1(1):19-39. Available from: https://www.sid.ir/en/journal/ViewPaper.aspx?id=199935 IEEE: Copy GHANBARI, M., 2009. NUMERICAL SOLUTION OF FUZZY INITIAL VALUE PROBLEMS UNDER GENERALIZED DIFFERENTIABILITY BY HPM. INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS, [online] 1(1), pp.19-39. Available: https://www.sid.ir/en/journal/ViewPaper.aspx?id=199935.

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Numerical Solution Of Fuzzy Initial Value Problems Under Generalized Differentiability By Hpm