On a fractional differential equation with infinitely many solutions

2012/06/27 by Dumitru Băleanu, Băleanu, Dumitru, Octavian G. Mustafa +3
Mathematics · Physics and Astronomy · #FOS: Physical sciences #Mathematical Physics (math-ph) #math-ph #math.MP

paper · pdf · doi:10.48550/arxiv.1206.6226

arxiv created 2012/06/27 · arxiv updated 2012/06/28

Abstract

We present a set of restrictions on the fractional differential equation x^(α)(t)=g(x(t)), t≥0, where α∈(0,1) and g(0)=0, that leads to the existence of an infinity of solutions starting from x(0)=0. The operator x^(α) is the Caputo differential operator.

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