Depth image enhancement techniques can help to improve quality and facilitate computer vision tasks. Traditional image-enhancement methods, which are typically based on integer-order calculus, cannot exploit the textural information of an image, their effect is limited. To solve this problem, fractional differentiation has been introduced as innovative image-processing tool. It enables flexible...

We establish the existence and uniqueness of an attractive fractional coupled system. Such a system has applications in biological populations of cells. We confirm that the fractional system under consideration admits a global solution in the Sobolev space. The solution is shown to be unique. The technique is founded on analytic method of the fixed point theory and the fractional differential o...

In this article, three different techniques, the Fractional Perturbation Iteration Method (FPIA), Successive Differentiation (FSDM), and Novel Analytical (FNAM), have been introduced. These iterative methods are applied on types of Electrical RLC-Circuit Equations fractional-order. The fractional series approximation derived solutions can be established by using obtained coefficients. algorithm...

The model of population growth is revised in this paper. A new model is proposed based on the concept of fractional differentiation that uses the generalized Mittag-Leffler function as kernel of differentiation. The new model includes the choice of sexuality. The existence of unique solution is investigated and numerical solution is provided.

We propose and experimentally demonstrate a tunable fractional order photonic differentiator using an on-chip electrically tuned Mach-Zehnder interferometer (MZI) structure. The phase shift at the resonant frequency of the MZI varies when applying different voltages, which can implement the fractional differentiation. Due to the large 3-dB bandwidth of the MZI, the differentiator is expected to...