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Summary: This paper introduces a new kind of tri-neuron bidirectional associative memory (BAM) neural network model with delay and investigates its solution properties and Hopf bifurcation issues. The existence and uniqueness of the solution are proved using fixed point theorem, and the boundedness of the solution is analyzed using a suitable function and inequality skills. The delay-independent criteria for stability and bifurcation of the model are obtained. Furthermore, the control of Hopf bifurcation in the model is explored through the design of two hybrid controllers, and software simulation experiments are conducted to validate the obtained results.
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Summary: This article applies the homotopy perturbation transform technique to analyze fractional-order nonlinear fifth-order KdV-type/Kawahara-type equations and shows the validation and efficiency of this technique through three examples. The research suggests that this technique is reliable, efficient, and important for related engineering models and scientific branches.
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Shehu Maitama et al.
Summary: The paper introduces a new fuzzy Shehu transform method using Zadeh's decomposition theorem and fuzzy Riemann integral on finite intervals. By combining this method with the homotopy analysis method, it provides effective solutions for fuzzy differential equations of integer and non-integer order derivatives, supported by convergence analysis and error analysis. Numerical simulations of exact and approximate solutions further demonstrate the reliability and efficiency of the proposed method.
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BOUNDARY VALUE PROBLEMS
(2009)
