El-Sayed, A. M. A. Fractional differential equations. (English) Zbl 0709.34011 Kyungpook Math. J. 28, No. 2, 119-122 (1988). The author considers the differential equation \(d^{\alpha}x/dt^{\alpha}=f(t,x(t)),\) \(t>0\), \(0<\alpha <1\) with fractional derivatives according to I. M. Gelfand and G. F. Shilov [Generalized functions, Vol. 1 (1959; Zbl 0091.111)]. He examines the concept of solution of the above equation, its existence, uniqueness and coincidence with the solution of the initial value problem \(x'(t)=f(t,x(t)),\) \(t>0\), \(x(0)=0\). Reviewer: H.Ade Cited in 1 ReviewCited in 13 Documents MSC: 34A99 General theory for ordinary differential equations Keywords:fractional derivatives; existence; uniqueness Citations:Zbl 0091.111 PDFBibTeX XMLCite \textit{A. M. A. El-Sayed}, Kyungpook Math. J. 28, No. 2, 119--122 (1988; Zbl 0709.34011)