Approximation of functions by Complex conformable derivative bases in Frechet spaces

In the present paper the representation, in different domains, of analytic functions by complex conformable fractional derivative bases (CCFDB) and complex conformable fractional integral bases (CCFIB) in Frechet space are investigated . Theorems are proved to show that such representation is possible in closed disks, open disks, open regions surrounding closed disks, at the origin and for all entire functions. Also, some results concerning the growth order and type of CCFDB and CCFIB are determined. Moreover the T-property of CCFDB and CCFIB are dis- cussed. The obtained results recover some known results when alpha = 1. Finally, some applications to the CCFDB and CCFIB of Bernoulli, Euler, Bessel and Chebyshev polynomials have been studied.

Complete Mitochondrial Genomes of Three Skippers in the Tribe Aeromachini (Lepidoptera: Hesperiidae: Hesperiinae) and Their Phylogenetic Implications

The mitochondrial genome is now widely used in the study of the phylogenetics and molecular evolution due to its maternal inheritance, fast evolutionary rate and highly conserved gene content. To explore the phylogenetic relationships of the tribe Aeromachini within the subfamily Hesperiinae at the mitochondrial genomics level, we sequenced and annotated the complete mitogenomes of 3 skippers: Amipittia virgata, Halpe nephele and Onryza maga. All of these mitogenomes are double-stranded and have circular molecules with a total length of 15,333 bp, 15,291 bp and 15,381 bp, respectively. The mitogenomes all contain 13 protein-coding genes (PCGs), 22 transfer RNAs (tRNAs), 2 ribosomal RNAs (rRNAs) and a non-coding AT-rich region, and are consistent with other lepidopterans in gene order and type. In addition, we reconstruted the phylogenetic trees of Hesperiinae using maximum likelihood (ML) and Bayesian inference (BI) methods based on mitogenomic data. Results show that the 3 Aeromachini species in this study robustly constitute a monophyletic group in the subfamily Hesperiinae, with the relationships Coeliadinae + (Euschemoninae + ((Pyrginae + (Eudaminae + Tagiadinae)) + (Heteropterinae + (Barcinae + Hesperiinae)))). Moreover, our study supports the view that Apostictopterus fuliginosus and Barca bicolor should be placed out of the subfamily Hesperiinae.

New Aspects of Fractional Bloch Model Associated with Composite Fractional Derivative

This paper studies a fractional Bloch equation pertaining to Hilfer fractional operator. Bloch equation is broadly applied in physics, chemistry, nuclear magnetic resonance (NMR), magnetic resonance imaging (MRI) and many more. The sumudu transform technique is applied to obtain the analytic solutions for nuclear magnetization . The general solution of nuclear magnetization is shown in the terms of Mittag-Leffler (ML) type function. The influence of order and type of Hilfer fractional operator on nuclear magnetization is demonstrated in graphical form. The study of Bloch equation with composite fractional derivative reveals the new features of Bloch equation. The discussed fractional Bloch model provides crucial and applicable results to introduce novel information in scientific and technological fields.

THE EFFECT OF CHICKEN MANURE DOSE ON GROWTH AND YIELD OF BIG RED BEANS (Phaseolus vulgaris. L)

Nutritional composition of large red beans (Phaseolus vulgaris L.) is good for health, much in demand by people for daily cooking, as raw material for making “dodol” or baby food, but production tends to decrease due to land conversion or soil degradation due to inorganic fertilization over do it. On the other hand, population growth continues to increase, demanding higher production. Fertilization of chicken manure can be expected to improve physical, chemical, and biological soil properties so that productivity increases.The study was conducted in the Tanjungsari SMK-PPN Field, Tanjungsari District, Sumedang Regency with a height of 850 m above sea level, Andisol soil order and type of rainfall C. The experiment was conducted from June to August 2018. The purpose of this study was to study the effect of chiken manure dosage on growth and yield of large red bean plants. The research method was a field experiment using a Randomized BlockDesign. The treatment in the form of dung manure consists of 5 levels (0, 10, 20, 30, and 40 tons ha-1) which are repeated five times.The experimental results show that the dose of chicken manure influences the plant height of 6 MST, number of leaves per plant 4 MST and 6 MST, number of pods per plant, number of seeds per plant, weight of wet seeds per plant, weight of dried seeds per plant, weight of 100 grains , and dry seed weight per plot, but no effect on other observations. The dosage of 40 tons ha-1 chicken manure gives the best dry beans weight per bean per plot even though it is not significantly different from the 30 tons ha-1 fertilizing chicken coop.

Irregular hatching patterns of Branchinecta orientalis G.O. Sars, 1901 (Branchiopoda: Anostraca) in response to parental food, brood order, and pre-inundation conditions

ABSTRACT Highly variable environmental conditions can put the survival of inhabitants of temporary pools at high risk, as they may not complete their life cycle. Different evolutionary responses can prevent the extinction of the inhabitants of ephemeral wetland habitats. One specific mode of response to environmental changes is bet-hedging as risk-spreading strategy and long-term fluctuating selection. The fairy shrimp Branchinecta orientalis G.O. Sars, 1901 is a broadly distributed species in Europe and Asia. We investigated the hatching pattern of B. orientalis resting eggs as a result of various factors, alone or interacting: 1) brood order, 2) food supplied to the parental generation, and 3) various pre-inundation conditions. Results were recorded for cumulative hatching over 10 d, hatching at the first day, and the first day of hatching. The factors with significant effects on hatching percentage were 1) brood order, 2) type of food, 3) pre-inundation conditions, 4) interaction between brood order and type of food, and 5) interaction between type of food and pre-inundation conditions (P < 0.05). Within the first 24 h, 44% of total hatching occurred. Resting eggs from the first brood showed the highest cumulative hatching. The lowest mean resting egg size was found when parents were fed fish pond effluents supplemented with Haematococcus sp. (Chlorophyta); this group of resting eggs also had the highest cumulative hatching percentage. Eggs that had stayed for one week in the parental medium showed significantly higher cumulative hatching percentage, than eggs that had stayed in the medium for two weeks, or that had not stayed in the medium at all (P < 0.05). Overall, hatching showed an irregular pattern, affected by the mode of response of the resting eggs to our experimental factors. The irregular hatching pattern may result in fairy shrimps better adapted to environmental instability.

Computational Techniques Based on Runge-Kutta Method of Various Order and Type for Solving Differential Equations

The Runge-Kutta method is a one step method with multiple stages, the number of stages determine order of method. The method can be applied to work out on differential equation of the type’s explicit, implicit, partial and delay differential equation etc. The present paper describes a review on recent computational techniques for solving differential equations using Runge-Kutta algorithm of various order. This survey includes the summary of the articles of last decade till recent years based on third; fourth; fifth and sixth order Runge-Kutta methods. Along with this a combination of these methods and various other type of Runge-Kutta algorithm based articles are included. Comparisons of methods with own critical comments as remarks have been included.

The Methods of Assessing the Sustainability of Information and Telecommunication Networks in Terms of Informational Influence

The article presents a method of assessing the stability of the information and telecommunication network in terms of informational impact. In modern war, the primary objects of directed counteraction and defeat are presented with control systems rather than troops and weapons. The predicted nature of the enemy’s impact on the military control system and the information and telecommunication network as its technical basis leads to the emergence of new requirements for the quality of the latter. The presented approach allows us to determine the order and type of impact on each element of the TCS, which in turn will allow us to assess the comprehensive indicator of the stability of the network (the coefficient of downtime or serviceable action).