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

نویسندگان

  • K. BALACHANDRAN
  • K. KANAGARAJAN
چکیده

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 of solutions of perturbed fuzzy integral equations. Subrahmanyam and Sudarsanam [13] studied fuzzy Volterra integral equations. Park and Jeong [8] proved the existence and uniqueness of solutions of fuzzy Volterra-Fredholm integral equations of the form

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تاریخ انتشار 2005