IJPAM: Volume 105, No. 3 (2015)

ANALYTICAL METHOD FOR SOLVING
FUZZY ABEL INTEGRAL EQUATION

K. Balasubramanian$^1$, S. Raja Balachandar$^2$, S.G. Venkatesh$^3$
$^{1,2,3}$Department of Mathematics
School of Humanities and Sciences
SASTRA University
Thanjavur, INDIA


Abstract. In this paper, we study an approximation method for solving Fuzzy Abel integral equation in the most general form. The proposed approach is based on homotopy perturbation method. The proposed method is discussed in detail and the efficiency of the method is illustrated through some numerical examples.

Received: August 9, 2015

AMS Subject Classification: 34AXX, 34K07

Key Words and Phrases: fuzzy number, fuzzy pair, fuzzy function, fuzzy Abel integral equation, homotopy perturbation method

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DOI: 10.12732/ijpam.v105i3.7 How to cite this paper?

Source:
International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2015
Volume: 105
Issue: 3
Pages: 393 - 398


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