Abstract: This paper introduces fractional exponential function and fractional logarithmic function. We obtain some properties of these two fractional functions. These properties are the same as those of classical exponential function and logarithmic function. The main method used in this paper is the chain rule for fractional derivatives based on Jumarie type of Riemann-Liouville (R-L) fractional calculus. A new multiplication and fractional analytic functions play important roles in this paper. The new multiplication is a natural operation in fractional calculus. 

Keywords: Fractional exponential function, Fractional logarithmic function, Some properties, Chain rule for fractional derivatives, Jumarie type of R-L fractional calculus, New multiplication, Fractional analytic functions.

Title: Research on Fractional Exponential Function and Logarithmic Function

Author: Chii-Huei Yu

ISSN 2394-9716

International Journal of Novel Research in Interdisciplinary Studies

Novelty Journals

Abstract: The experiment was conducted during 2020 and 2021 growing seasons at Wondogenet and koka to evaluate the performance of white fleshed potato varieties with respect to their root yield and qualities. Six improved white fleshed sweet potato varieties were tested using randomized complete block design with three replications. All necessarily data were collected and analyzed using SAS software. The combined analysis of variance showed a highly significant differences (p≤0.05) among tested varieties for plant height, root number per plant, root diameter, root weight per plant, root yield per hectare and root dry matter content. As a result, Hawassa-09 variety gave the highest tuber yield per hectare (40.76 t ha^-1) which was statistically similar with Berkume variety (37.81 t ha^-1) while the lowest (17.23 t ha^-1) from Adu variety. The highest root dry matter content (27.29) was obtained from Hawassa-83 variety which was followed by Hawassa-09 (26.09) variety while the lowest (20.01) from variety Adu. Therefore, among the tested sweet potato varieties, Hawassa-09 and Hawassa-83 were recommended for their better root yield and quality traits for the study areas and similar agroecology.

Keywords: Environment, Genetic variation, Root dry matter content, Root yield, White fleshed.

Title: Evaluation of White fleshed Sweet Potato (Ipomoea batatas L.) Varieties for Maximum Root Yield and Quality Traits at Wondo Genet and Koka

Author: Damtew Abewoy, Habtamu Gudisa Megersa, Dadi Tolessa Lemma, Dejene Tadesse Banjaw

ISSN 2394-9716

International Journal of Novel Research in Interdisciplinary Studies

Novelty Journals