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Citations since 2016
8 Research Items
Fractional calculus is a powerful and effective tool for modelling nonlinear systems. In this paper, we introduce a class of new fractional derivative named general conformable fractional derivative (GCFD) to describe the physical world. The GCFD is generalized from the concept of conformable fractional derivative (CFD) proposed by Khalil. We point...
Fractional derivative is a widely accepted theory to describe physical phenomena and processes with memory effect that is defined in the form of convolution with power kernel. Due to the shortcomings of power law distribution, some derivatives with other kernels are proposed, including Caputo-Fabrizio derivative, Atangana-Baleanu derivative and so...
Most disordered dielectrics especially solid dielectrics show non-Debye laws, and many empirical approximation models are proposed to describe these anomalous relaxation processes. Fractional calculus approach is a popular approach to analyze the anomalous relaxation processes and has been intensively studied in various dielectric materials. Howeve...
The great achievements of deep learning can be attributed to its tremendous power of feature representation, where the representation ability comes from the nonlinear activation function and the large number of network nodes. However, deep neural networks suffer from serious issues such as slow convergence, and dropout is an outstanding method to i...
Most previous studies on stochastic resonance (SR) have focused on models without boundaries. However, the dynamics of the confined systems are affected by space limitations, which exert unique effects on the reaction, diffusion, and SR behavior of systems. Some subsequent studies have discussed the SR-like phenomena in the 2D confined spaces in th...
Cylindrical electromagnetic waves propagation in inhomogeneous and nonlinear media is of great interest for theory and application, and is an extremely complicated problem which can be described by the cylindrical nonlinear Maxwell equations. In this paper, we propose a method to exactly solve the cylindrical Maxwell equations in various types of i...
Fractional Fourier Transform (FRFT) is regarded as an effective method for detection of Linear Frequency Modulation (LFM) signals in recent years. However, the performance of FRFT detection will deteriorate sharply in the weak noise scene. An alternative solution is the use of bistable system, which can generate stochastic resonance (SR), and is re...
That is, you know the FT of a function f(x), how about the FT of g(f(x)), g(.) is a function of f(x). I think this can help us solve nonlinear ODEs or PDEs.