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Application of a Homogeneous Balance Method to Exact Solutions of Nonlinear Fractional Evolution Equations
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: The fractional Fan subequation method of the fractional Riccati equation is applied to construct the exact solutions of some nonlinear fractional evolution equations. In this paper, a powerful algorithm is developed for ...
A Numerical Simulation on the Effect of Vaccination and Treatments for the Fractional Hepatitis B Model
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: The aim of this paper is to develop a fractional order mathematical model for describing the spread of hepatitis B virus (HBV). We also provide a rigorous mathematical analysis of the stability of the disease-free equilibrium ...
On a Numerical Approach to Solve Multi Order Fractional Differential Equations With Initial/Boundary Conditions
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: In this manuscript, a new method is introduced for solving multiorder fractional differential equations. By transforming the fractional differential equations into an optimization problem and using polynomial basis functions, ...
Some Kinds of the Controllable Problems for Fuzzy Control Dynamic Systems
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: In this work, we have discussed the fuzzy solutions for fuzzy controllable problem, fuzzy feedback problem, and fuzzy global controllable (GC) problems. We use the method of successive approximations under the generalized ...
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