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Armenian Journal of Mathematics=Հայկական մաթեմատիկական հանդես
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Գլխ. խմբ.՝ Անրի Ներսեսյան ; Պատ. խմբ.՝ Լինդա Խաչատրյան ; Խմբ. տեղակալ՝ Ռաֆայել Բարխուդարյան
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Uncontrolled Keywords:
Fractional Ordinary Differential Equations ; Linearly ImplicitL1 Method ; Global Existence ; Blow-up
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Abstract:
In this paper, we consider the blow-up behaviorof linearly implicit L1 method for fractional ordinary differentialequations. Based on Nakagawa’s criteria, a suitable adaptivestep strategy is introduced. The existence of global numericalsolution is proved. Moreover, we show that the finite blow-upbehaviors are replicated for any positive solution. Finally, somenumerical examples are given to test the main result․
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Electronic Open Access Publication of the National Academy of Sciences of Armenia