iosr-Jm   Volume-1 ~ Issue-6

Abstract: In the present paper, we formulate the pulmonary blood flow in Lungs. Keeping in view the nature of pulmonary circulatory system in human body, the viscosity increases in the arterioles due to formation of roulex along axis by red blood cells, as we know the Lungs are remote from heart and proximate to the Asthma. P.N. Pandey and V. Upadhyay have considered the blood flow of two phased, one of which is that of red blood cells and other is Plasma. They have also applied the Herschel Bulkley non-Newtonian Model in bio-fluid mechanical set-up. We have collected a clinical data in case of Asthma for Hematocrit v/s Blood Pressure. The graphical presentation for particular parametric value is much closer to the clinical observation. The overall presentation is in tensorial form and solution technique adapted is analytical as well as numerical. The role of Hematocrit is explicit in the determination of blood pressure in case of pulmonary disease-Asthma.

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Abstract: The main object of this paper is to obtain n-dimensional generalized Weyl fractional operators pertaining to multivariable H -function. Here we get the results by using n-dimensional Laplace and Htransforms. The results of this paper are believed to be new and basic in nature. Some known results have been obtained by giving suitable values to the coefficients and parameters.
Key Words: Multivariable H -function, Weyl fractional operator, H -transform
Mathematics Subject Classification: 33C60, 33C65, 44-99

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Abstract: We have extended the corresponding result of Voronowskaja for Lebesgue integrable function in 𝐿1-norm by our newly defined Generalized Polynomial.................

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Abstract : Formation control is an important behavior for multi-agents system (swarm). This paper addresses the optimal tracking control problem for swarm whose agents are Dubin's car moving together in a specific geometry formation. We study formation control of the swarm model which consists of three agents and one agent has a role as a leader. The agents of swarm are moving to follow the leader path. First, we design the control of the leader with tracking error dynamics. The control of the leader is designed for tracking the desired path. We show that the tracking error of the path of the leader tracing a desired path is sufficiently small. The desired path is obtained using calculus variational method. After that, geometry approach is used to design the control of the other. We show that the positioning and the orientation of each agent can be controlled dependent on the leader. The simulation results show to illustrate of this method at the last section of this paper.
Keywords - Swarm model, Dubin's car system, Tracking error, Calculus Variational, Numerical simulation.

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