Approximate Controllability of Delayed Fractional Stochastic Differential Systems with Mixed Noise and Impulsive Effects

We herein report a new class of impulsive fractional stochastic differential systems driven by mixed fractional Brownian motions with infinite delay and Hurst parameter $\hat{\cal H} \in ( 1/2, 1)$. Using fixed point techniques, a $q$-resolvent family, and fractional calculus, we discuss the existence of a piecewise continuous mild solution for the proposed system. Moreover, under appropriate conditions, we investigate the approximate controllability of the considered system. Finally, the main results are demonstrated with an illustrative example.Comment: Please cite this paper as follows: Hakkar, N.; Dhayal, R.; Debbouche, A.; Torres, D.F.M. Approximate Controllability of Delayed Fractional Stochastic Differential Systems with Mixed Noise and Impulsive Effects. Fractal Fract. 2023, 7, 104. https://doi.org/10.3390/fractalfract702010

Response of okra (Abelmoschus esculentus L. Moench) to vermicompost, mycorrhiza and micronutrients mixture

A field experiments on okra (Abelmoschus esculentus L Moench) cv. Arka Anamika” was conducted at Department of Vegetable Science, College of Horticulture and Forestry, Jhalrapatan city, Jhalawar during the Kharif 2016-17 to study the effect of vermicompost, mycorrhiza and micronutrients mixture of 16 treatment combination i.e. vermicompost with two levels (2 tons/ha and 4 tons /ha), mycorrhiza with one level (Mycorrhiza seed treatment) and micronutrients mixture with two levels (50 ppm and 100 ppm). The observations revealed that the plant height of A. esculentus after 60 DAS (74 cm), plant height after 90 DAS (79.71cm), number of leaves / plant (43.17), main steam diameter (5.52 cm), number of primary branches per plant (5.10) of A. esculentus and lowest days to first flower bud emergence (33.53) of A. esculentus was noted maximum as compared to control. The results indicates that plant height, number of leaves per plant, main stem diameter, stem girth, number of primary branches increased significantly due to application of different levels of vermicompost, mycorrhiza and micronutrients mixture as compared to control. It is postulated that the vermicompost 2tons and 4tons + mycorrhiza seed treatment + micronutrients mixture 50ppm and 100ppm may positively regulate the A. esculentus growth improved. Therefore, application of vermicompost, mycorrhiza along with a mixture of micronutrients played a significant role on enhancing the growth of okra (A. esculentus) and can be applied to obtain the maximum crop yield of okra (A. esculentus)

Analysis and Optimal Control of <i>φ</i>-Hilfer Fractional Semilinear Equations Involving Nonlocal Impulsive Conditions

The goal of this paper is to consider a new class of φ-Hilfer fractional differential equations with impulses and nonlocal conditions. By using fractional calculus, semigroup theory, and with the help of the fixed point theorem, the existence and uniqueness of mild solutions are obtained for the proposed fractional system. Symmetrically, we discuss the existence of optimal controls for the φ-Hilfer fractional control system. Our main results are well supported by an illustrative example

Effect of Different Dose of Herbicide on Soil Physico-chemical and Biological Properties after Harvest of Wheat

The purpose of the present experiment is to evaluate the efficacy of herbicide to control of weeds in wheat crop. The&nbsp;&nbsp; field experiment was conducted at Agricultural Research Farm, Division of Agronomy, BHU, Varanasi, India. In the experimental field weeds were controlled by pre-emergence application of herbicides viz.,pendimethalin 30%&nbsp; EC @ 600 g ha-1,pendimethalin 30%&nbsp; EC @ 900 g ha-1, pendimethalin 30%&nbsp; EC @ 1200 g ha-1, pendimethalin 30%&nbsp; EC @ 1500 g ha-1,metribuzin 70%&nbsp; WP @ 210 g ha-1 weed free (two hands weeding) and Untreated Control (Weedy check). Effect of treatments on soil physico-chemical properties like soil bulk density, soil p=H, electric conductivity and organic carbon are not significance variation among the treatments. The available nitrogen in soil after harvest of wheat was more under hand weeded treated plots which was statistically comparable with application of pendimethalin 30% EC @ 900 g ha-1 over&nbsp; the rest of the treatments. However, available phosphorus and potassium in non-significant it did not influenced by the treatments

Effect of Integrated Nutrient Management on Soil Health and Nutrient Balance Sheet of Soybean under Vertisols of Rajasthan

&nbsp; Background: A field experiment was conducted during kharif, 2019 at ARS farm, College of Agriculture, Ummedganj, Kota (Rajasthan). Effect of Integrated Nutrient Management on Soil Health and Nutrient Balance Sheet of soybean Under Vertisols of Rajasthan. The soil of the experimental field is clay loam having low to medium fertility status and good porosity. Method: The experiment consisted of 10 treatments viz. T0 - Control (Absolute), T1 - RDF (20-40-40), T2 - 75% RDF + FYM (2.0 t ha-1), T3 - 50% RDF + FYM (4.0 t ha-1), T4 - 75% RDF + FYM (2.0 t ha-1) + Rhizobium, T5 - 50% RDF + FYM (4.0 t ha-1) + Rhizobium, T6 - 75% RDF + Vermicompost (1.0 t ha-1), T7 - 50% RDF + Vermicompost (2.0 t ha-1), T8 - 75% RDF + Vermicompost (1.0 t ha-1) + Rhizobium, T9 - 50% RDF + Vermicompost (2.0 t ha-1) + Rhizobium. The experiment was laid out in randomised block design and was replicated thrice. Result: Among the nutrient management treatment, application of 50% RDF + Vermicompost (2.0 t ha-1) + Rhizobium (T9) significantly built up of the soil available nitrogen (258 kg ha-1), available phosphorus (21.67 kg ha-1) and available potassium (445.35 kg ha-1), micronutrient and organic carbon (0.59) was recorded.&nbsp; &nbsp; &nbsp; &nbsp