ACTA MATHEMATICA
UNIVERSITATIS COMENIANAE





On existence of positive solution for initial value problem
of nonlinear fractional differential equations
of order 1 < \alpha <= 2


M. M. Matar

Received: January 30, 2014;   Accepted: April 28, 2014



Abstract.   The existence of positive solution for a class of nonlinear fractional differential equations are investigated by the method of upper and lower solutions and using Schauder and Banach fixed point theorems.

Keywords:  fractional differential equations; positive solution; upper and lower solutions; existence and uniqueness; Banach and Schauder fixed point theorems.  

AMS Subject classification: Primary:  26A33;   Secondary: 34A12, 34G20.


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Acta Mathematica Universitatis Comenianae
ISSN 0862-9544   (Printed edition)

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