Toward the existence and uniqueness of solutions of second-order fuzzy differential equations

  • Authors:

  • T. Allahviranloo;N. A. Kiani;M. Barkhordari

  • Affiliations:

  • Department of Mathematics, Science and Research Branch Islamic Azad University, Hesarak, Poonak, Tehran 14778, Iran;Department of Mathematics, Science and Research Branch Islamic Azad University, Hesarak, Poonak, Tehran 14778, Iran;Department of Mathematics, Science and Research Branch Islamic Azad University, Hesarak, Poonak, Tehran 14778, Iran

  • Venue:
  • Information Sciences: an International Journal
  • Year:
  • 2009

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Abstract

In this paper the existence and uniqueness of solutions for second-order fuzzy differential equations with initial conditions under generalized H-differentiability is proved. To this end, the concept of second-order generalized differential equation is defined, which is based on an enlargement of the class of differentiable fuzzy mappings.