On the fractional differential equations with uncertainty

• DOI: 10.1016/j.na.2011.02.048
• Publication Date: 2011-03-16T08:28:21Z
• Authors: Sadia Arshad; Vasile Lupulescu
• Keywords: 0202 electrical engineering, electronic engineering, information engineering; 02 engineering and technology

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.