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Zbl 0709.34011
El-Sayed, A.M.A.
Fractional differential equations.
(English)
[J] Kyungpook Math. J. 28, No.2, 119-122 (1988). ISSN 1225-6951

The author considers the differential equation $d\sp{\alpha}x/dt\sp{\alpha}=f(t,x(t)),$ $t>0$, $0<\alpha <1$ with fractional derivatives according to {\it I. M. Gelfand} and {\it 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 $x'(t)=f(t,x(t)),$ $t>0$, $x(0)=0$.
MSC 2000:
*34A99 General theory of ODE

Keywords: fractional derivatives; existence; uniqueness

Citations: Zbl 0091.111

Cited in: Zbl 0757.34005

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