Existence of Solutions of General Nonlinear Fuzzy Volterra-fredholm Integral Equations

  title={Existence of Solutions of General Nonlinear Fuzzy Volterra-fredholm Integral Equations},
  author={Krishnan Balachandran and K. Kanagarajan},
Fuzzy differential and integral equations have been studied by many authors [1, 2, 5, 6, 7, 14]. Kaleva [5] discussed the properties of differentiable fuzzy set-valued mappings by means of the concept of H-differentiability introduced by Puri and Ralescu [9]. Seikkala [11] defined the fuzzy derivative which is a generalization of the Hukuhara derivative [9] and the fuzzy integral which is the same as that proposed by Dubois and Prade [3, 4]. Balachandran and Dauer [1] established the existence… CONTINUE READING

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Existence of solutions of nonlinear fuzzy Volterra-Fredholm integral equations

  • K. Balachandran, P. Prakash
  • Indian J. Pure Appl. Math. 33
  • 2002
Highly Influential
4 Excerpts

Existence of solutions of perturbed fuzzy integral equations in Banach spaces

  • K. Balachandran, J. P. Dauer
  • Indian J. Pure Appl. Math. 28
  • 1997
Highly Influential
6 Excerpts

Differentials of fuzzy functions

  • M. L. Puri, D. A. Ralescu
  • J. Math. Anal. Appl. 91
  • 1983
Highly Influential
4 Excerpts

On the fuzzy initial value problem

  • S. Seikkala
  • Fuzzy Sets and Systems 24
  • 1987
1 Excerpt

Towards fuzzy differential calculus

  • D. Dubois, H. Prade
  • I. Integration of fuzzy mappings, Fuzzy Sets and…
  • 1982
2 Excerpts

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