Abdelaziz Mennouni, Abderrahmane Youkana
Abstract:
In this article we study the blow-up in finite time of solutions for
the Cauchy problem of fractional ordinary equations
for t>0, where the derivatives are Caputo fractional derivatives of order
, and f and g are two continuously differentiable
functions with polynomial growth.
First, we prove the existence and uniqueness of local solutions
for the above system supplemented with initial conditions,
then we establish that they blow-up in finite time.
Submitted March 14, 2017. Published June 25, 2017.
Math Subject Classifications: 33E12, 34K37.
Key Words: Fractional differential equation; Caputo fractional derivative;
blow-up in finite time.
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Abdelaziz Mennouni Department of Mathematics University of Batna 2 05078 Batna, Algeria email: aziz.mennouni@yahoo.fr |
Abderrahmane Youkana Department of Mathematics University of Batna 2 05078 Batna, Algeria email: abder.youkana@yahoo.fr |
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