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On the fractional differential equations with uncertainty
Authors:Sadia ArshadVasile Lupulescu
Affiliation:
  • a “Constantin Brancusi” University, Republicii 1, 210152 Targu-Jiu, Romania
  • b Government College University, Abdus Salam School of Mathematical Sciences, Lahore, Pakistan
  • Abstract:This paper is based on the concept of fuzzy differential equations of fractional order introduced by Agarwal et al. [R.P. Agarwal, V. Lakshmikantham, J.J. Nieto, On the concept of solution for fractional differential equations with uncertainty, Nonlinear Anal. 72 (2010) 2859-2862]. Using this concept, we prove some results on the existence and uniqueness of solutions of fuzzy fractional differential equations.
    Keywords:Fractional differential equation   Differential equation with uncertainty   Initial problem
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