Numerical Method for Fractional Fuzzy Integral Equations

In the present work we construct an iterative method for the numerical solution of fuzzy fractional Volterra integral equations, by using the technique of fuzzy product integration. The existence and uniqueness of the solution and the uniform boundedness of the terms of the Picard iterations are proved. The convergence of the iterative algorithm is obtained and the apriori error estimate is given in terms of the Lipschitz constants. A numerical example illustrates the accuracy of the method.

Mathematical modeling and analysis of fractional-order brushless DC motor

In this paper, we consider a fractional-order model of a brushless DC motor. To develop a mathematical model, we use the concept of the Liouville–Caputo noninteger derivative with the Mittag-Lefler kernel. We find that the fractional-order brushless DC motor system exhibits the character of chaos. For the proposed system, we show the largest exponent to be 0.711625. We calculate the equilibrium points of the model and discuss their local stability. We apply an iterative scheme by using the Laplace transform to find a special solution in this case. By taking into account the rule of trapezoidal product integration we develop two iterative methods to find an approximate solution of the system. We also study the existence and uniqueness of solutions. We take into account the numerical solutions for Caputo Liouville product integration and Atangana–Baleanu Caputo product integration. This scheme has an implicit structure. The numerical simulations indicate that the obtained approximate solutions are in excellent agreement with the expected theoretical results.

An adapted integration method for Volterra integral equation of the second kind with weakly singular kernel

In this paper, we consider general cases of linear Volterra integral equations under minimal assumptions on their weakly singular kernels and introduce a new product integration method in which we involve the linear interpolation to get a better approximate solution, figure out its effect and also we provide a convergence proof. Furthermore, we apply our method to a numerical example and conclude this paper by adding a conclusion

Indirect Material Cost Reduction by Eliminating Manual Derailing Process through Process Simplification

This paper will discuss how to reduce (IDM) Indirect Material consumption for derailing process by eliminating the manual derailing method as part of cost saving project. It involves the removal of cutter blade used for derail.Cost improvement was one of organizational goals of the company for 2019. This drive can be supported by analyzing Indirect Material spending and process simplification at assembly plant. At assembly End-Of-Line processes, derail cutter blade was one of the top Indirect Material spending at singulation and there is an opportunity to reduce if not eliminated the cost consumption of derail cutter blades through process simplification. Increasing volume in Quad-Flat-No lead (QFN) packages and new banner products being develop by New Product Integration NPI, Q1’20 means increase in IDM consumption per process. The challenge is to drive a process simplification that will reduce IDM to save cost by start of Q2’20. DMAIC methodology was used to improve the process of derailing process.

The role and path of digital marketing in tourist souvenir brands

The extensive and in-depth application of digital technology has led to the transformation of marketing methods. This article analyzes the role and path of digital marketing in tourist souvenir brands through case studies, expert interviews and literature studies. The findings suggest that the rational use of digital technology can not only reshape brand competitiveness, but also play a role in deepening product integration and enhancing brand communication. To realize digital marketing of tourist souvenir brands, it is necessary to formulate effective brand marketing strategies and create a personalized brand image in order to realize the conversion of cultural and creative product sales.