Cauchy’s formula on nonempty closed sets and a new notion of Riemann–Liouville fractional integral on time scales

We prove Cauchy’s formula for repeated integration on time scales. The obtained relation gives rise to new notions of fractional integration and differentiation on arbitrary nonempty closed sets.publishe

Caputo q-Fractional Initial Value Problems and a q-Analogue Mittag-Leffler Function

Caputo q-fractional derivatives are introduced and studied. A Caputo -type q-fractional initial value problem is solved and its solution is expressed by means of a new introduced q-Mittag-Leffler function. Some open problems about q-fractional integrals are proposed as well

Efikasnost korišćenja vode lubenice navodnjavane kapanjem u umerenim klimatskim uslovima

The objective of the study, conducted in Vojvodina a northern part of the Serbia Republic, was to analyse the effect of drip irrigation on yield, evapotranspiration and water productivity of watermelon (Cirullus lanatus Thunb.) grown with plasticulture. Irrigation was scheduled on the basis of water balance method. Daily evapotranspiration was computed using the reference evapotranspiration and crop coefficient. The yield of watermelon in irrigation conditions (37,28 t/ha) was significantly higher compared to non irrigated (9,98 t/ha). Water used on evapotranspiration in irrigation conditions was 398 mm and 117 mm on non-irrigated variant. The crop yield response factor of 1,04 for the whole growing season reveals that relative yield decrease was nearly equal to the rate of evapotranspiration deficit. The values of irrigation water use efficiency and evapotranspiration water use efficiency were 9,93 kg/m3 and 10,29 kg/m3 respectively. The determined results could be used as a good platform for watermelon growers in the region, in terms of improvement of the optimum utilization of irrigation water.Cilj istraživanja, sprovedenog u Vojvodini, bio je da se analizira efekat navodnjavanja kapanjem na prinos, evapotranspiraciju i produktivnost vode u usevu lubenice (Cirullus lanatus Thunb.), gajene na foliji. Vreme zalivanja je određeno na osnovu vodnog bilansa. Dnevne vrednosti evapotranspiracije su obračunate korišćenjem referentne evapotranspiracije i koeficijenta useva. Prinos lubenice u uslovima navodnjavanja (37,28 t/ha) bio je statistički značajno veći u odnosu na prinos u uslovima bez navodnjavanja (9,98 t/ha). Evapotranspiracija lubenice u uslovima navodnjavanja bila je 398 mm i 117 mm na nenavodnjavanoj varijanti. Obračunata vrednost koeficijenta opadanja prinosa od 1,04 za period vegetacije ukazuje da je relativno smanjenje prinosa bilo skoro jednako relativnom deficitu evapotranspiracije. Efikasnost korišćenja vode navodnjavanjem i evapotranspiracijom iznosila je 9,93 kg/m3 i 10,29 kg/m3, redom. Dobijeni rezultati mogu poslužiti kao dobra osnova za proizvođače lubenice u regionu, u smislu poboljšanja i optimizacije navodnjavanja

Crystal Plasticity and Fresh Lobster

Mechanics of few crystals Mechanics of many crystals 3D electron microscopy Chitin-composite

Taking advantage of Ramadan and January in Muslim countries

Studies have shown that religious beliefs and practice play an important role in influencing share price behaviour. Evidence of a Ramadan effect has been documented in Muslim countries suggesting an increase in mean returns as well as a reduction in volatility during the ninth month of the Islamic calendar. In addition to the Ramadan effect, studies have also documented a January effect in Muslim countries. The current study investigates what happens when the Ramadan effect and the January effect occur at the same time. Controlling for the effects of financial crises and time-varying volatility in returns, the results for individual company data from four countries with sizeable Muslim populations indicate higher returns and lower volatility when these two effects overlap, except in one, arguably more Western country, Turkey

Foot-and-Mouth Disease Impact on Smallholders - What Do We Know, What Don't We Know and How Can We Find Out More?

Foot-and-mouth disease (FMD) endemic regions contain three-quarters of the world's FMD susceptible livestock and most of the world's poor livestock keepers. Yet FMD impact on smallholders in these regions is poorly understood. Diseases of low mortality can exert a large impact if incidence is high. Modelling and field studies commonly find high FMD incidence in endemic countries. Sero-surveys typically find a third of young cattle are sero-positive, however, the proportion of sero-positive animals that developed disease, and resulting impact, are unknown. The few smallholder FMD impact studies that have been performed assessed different aspects of impact, using different approaches. They find that FMD impact can be high (>10% of annual household income). However, impact is highly variable, being a function of FMD incidence and dependency on activities affected by FMD. FMD restricts investment in productive but less FMD-resilient farming methods, however, other barriers to efficient production may exist, reducing the benefits of FMD control. Applying control measures is costly and can have wide-reaching negative impacts; veterinary-cordon-fences may damage wildlife populations, and livestock movement restrictions and trade bans damage farmer profits and the wider economy. When control measures are ineffective, farmers, society and wildlife may experience the burden of control without reducing disease burden. Foot-and-mouth disease control has benefitted smallholders in South America and elsewhere. Success takes decades of regional cooperation with effective veterinary services and widespread farmer participation. However, both the likelihood of success and the full cost of control measures must be considered. Controlling FMD in smallholder systems is challenging, particularly when movement restrictions are hard to enforce. In parts of Africa this is compounded by endemically infected wildlife and limited vaccine performance. This paper reviews FMD impact on smallholders in endemic countries. Significant evidence gaps exist and guidance on the design of FMD impact studies is provided