Synergetic effect of probiotic, molasses and immunostimulant supplementation on the production of white leg shrimp Litopenaeus vannamei Boone, 1931

820-828The aim of the study is to find out a suitable combination of supplements for the successful production of shrimp Litopenaeus vannamei. The experiment was performed in two different shrimp farms located in the same area at Athirampattinam (Farm-A) and (Farm-B), Tamil Nadu, East coast of India. Each group consisted of three ponds, farm-A supplemented with probiotic, immunostimulant and molasses. Subsequently, farm-B was supplemented with chemicals and probiotics. The shrimp average body weight (23.2 ± 0.41 g) survival (84 ± 0.05 %) and production (6.98 tons/ha) was significantly higher (P ) in farm-A than the farm-B. The water parameters such as temperature, pH, salinity, transparency, dissolved oxygen, total ammonia, nitrite, total plate count and Vibrio population were significantly varied between these two farms. The safe water quality parameter values were obtained in farm-A. Henceforth, the present study was concluded that the supplementation of probiotic, immunostimulant and molasses combination enhanced the shrimp production

Relative controllability of a stochastic system using fractional delayed sine and cosine matrices

In this paper, we study the relative controllability of a fractional stochastic system with pure delay in finite  dimensional stochastic spaces. A set of sufficient conditions is obtained for relative exact controllability using fixed point theory, fractional calculus (including fractional delayed linear operators and Grammian matrices) and local assumptions on nonlinear terms. Finally, an example is given to illustrate our theory

Fractional order stochastic dynamical systems with distributed delayed control and Poisson jumps

In this paper, we study the controllability results for nonlinear fractional order stochastic dynamical systems with distributed delayed control and Poisson jumps in finite dimensional space. New set of sufficient conditions are derived based on Schauder's fixed point theorem and the controllability Grammian matrix is defined by Mittag-Leffer matrix function. Finally, a numerical example has been given to validate the efficiency of the proposed theoretical results

Controllability of Hilfer fractional stochastic system with multiple delays and Poisson jumps

This paper introduces a notion of controllability for nonlinear Hilfer fractional stochastic system with multiple delays in control and Poisson jumps. A proper new series of sufficient conditions are derived for the considered system to be controllable by using fixed point technique, fractional calculus and stochastic analysis approach. The obtained result generalizes many results on controllability of stochastic systems and fractional stochastic systems. Finally, an example is provided to show the effectiveness of the achieved theoretical results

Synchronization of Fractional Stochastic Chaotic Systems via Mittag-Leffler Function

This paper is involved with synchronization of fractional order stochastic systems in finite dimensional space, and we have tested its time response and stochastic chaotic behaviors. Firstly, we give a representation of solution for a stochastic fractional order chaotic system. Secondly, some useful sufficient conditions are investigated by using matrix type Mittag-Leffler function, Jacobian matrix via stochastic process, stability analysis and feedback control technique to assure the synchronization of stochastic error system. Thereafter, numerical illustrations are provided to verify the theoretical parts

Fractal–fractional order stochastic chaotic model: A synchronization study

This manuscript provides the existence and uniqueness of solution and synchronization of fractal dimensional fractional order stochastic chaotic systems in Rn space. Based on fractal–fractional analysis, Rn stochastic settings, fixed point rout, stability theory and suitable feedback controller, a valuable adequate useful sufficient conditions are determined for existence and uniqueness of solution and synchronization study of proposed model. We have addressed the nonlinear terms of the systems under consideration in this study by using local assumptions. The theory’s findings are then validated by a numerical simulation