THE BLOW UP OF THE SOLUTION OF FRACTIONAL ORDINARY DIFFERENTIAL EQUATIONS

Abstract: This  paper  discusses  the  sufficient  condition  so  that  the  solution  of  the  initial value problem of fractional ordinary differential equation,    ( ) =    ,  ( )  on [0,  ) × (0, ∞).    (0) =    > 0,                                                                                            where    is Riemann-Liouville fractional derivative operator defined as    ( ): = 1 (1 − )     (  − )   ( )  and   is Gamma function with  0 <   < 1, exists uniquely and blows up in finite time.  
Keywords. fractional ordinary differential equations, existence, uniqueness, blow up
Author: Bambang Hendriya Guswanto
Kode Jurnal: jpmatematikagg090003

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