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Full-Text Articles in Theory and Algorithms
On High-Performance Parallel Decimal Fixed-Point Multiplier Designs, Ming Zhu
On High-Performance Parallel Decimal Fixed-Point Multiplier Designs, Ming Zhu
College of Engineering: Graduate Celebration Programs
Decimal computations are required in finance, and etc.
- Precise representation for decimals (E.g. 0.2, 0.7… )
- Performance Requirements (Software simulations are very slow)
A Cauchy Problem For Some Local Fractional Abstract Differential Equation With Fractal Conditions, Yang Xiaojun, Zhong Weiping, Gao Feng
A Cauchy Problem For Some Local Fractional Abstract Differential Equation With Fractal Conditions, Yang Xiaojun, Zhong Weiping, Gao Feng
Xiao-Jun Yang
Fractional calculus is an important method for mathematics and engineering [1-24]. In this paper, we review the existence and uniqueness of solutions to the Cauchy problem for the local fractional differential equation with fractal conditions \[ D^\alpha x\left( t \right)=f\left( {t,x\left( t \right)} \right),t\in \left[ {0,T} \right], x\left( {t_0 } \right)=x_0 , \] where $0<\alpha \le 1$ in a generalized Banach space. We use some new tools from Local Fractional Functional Analysis [25, 26] to obtain the results.