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In this work, we study existence theorem of the initial value problem for the system of fractional differential equations where Dα denotes standard Riemann-Liouville fractional derivative, 0 < α < 1, and A is a square matrix. At the same time, power-type estimate for them has been given.
object of this study was to determine the effect of cellulase and lactic acid
bacteria (LAB) on fermentation quality and chemical composition of wheat straw
silage. Silages were prepared using a small-scale fermentation system and the
moisture level was adjusted to 60% of fresh matter (FM) with deionized water.
Treatments were designed as: control silage without additives, LAB inoculant Lactobacillus casei Z3-1 (1.0 × 106 cfu·g-1 of FM), commercial inoculant L. plantarum FG 1 (1.0 × 106 cfu·g-1 of FM),
Z3-1 + cellulase and FG 1 + cellulase. The neutral detergent fiber (NDF), acid
detergent fiber (ADF) and crude protein (CP) contents of the wheat straw prior
to ensiling were 76.93%, 48.52% and 4.63% of dry matter (DM), respectively.
After 30 days of fermentation, the silages treated with LAB and LAB + cellulase
had a lower (P < 0.05) pH and
higher (P < 0.05) lactic acid
content than the control, and the coliform bacteria, yeast and mold were
inhibited at the early stage of fermentation. Besides, silages treated with
cellulase had lower (P < 0.05)
values of ADF and NDF than the control. The results confirmed that the addition
of cellulase and LAB contributed to improving the fermentation quality of wheat