There are many resources useful for processing images, most of them freely available and quite friendly to use. In spite of this abundance of tools, a study of the processing methods is still worthy of efforts. Here, we want to discuss the new possibilities arising from the use of fractional differential calculus. This calculus evolved in the research field of pure mathematics until 1920, when ...

The relation between the heat flux vector and temperature gradient is called heat conduction constitutive model. The most well known constitutive relation in heat transfer is Fourier model which is originally based on experimental observations. This model which is pure diffusive in nature considers the instantaneous flow of heat in the medium in the presence of even a small temperature gradient...

Many different types of fractional calculus have been proposed, which can be organised into some general classes operators. For a unified mathematical theory, results should proved in the most possible setting. Two important fractional-calculus operators are integrals and derivatives with respect to functions (dating back 1970s) those analytic kernels (introduced 2019). To cover both these sett...

An accurate state of charge (SOC) estimation is the basis of the Battery Management System (BMS). In this paper, a new estimation method which considers fractional calculus is proposed to estimate the lithium battery state of charge. Firstly, a modified second-order RC model based on fractional calculus theory is developed to model the lithium battery characteristics. After that, a pulse charac...

During the past three decades, the subject of fractional calculus (that is, calculus of integrals and derivatives of arbitrary order) has gained considerable popularity and importance, mainly due to its demonstrated applications in numerous diverse and widespread fields in science and engineering. For example, fractional calculus has been successfully applied to problems in system biology, phys...

The theory of fractional calculus goes back to the beginning of the theory of di erential calculus but its inherent complexity postponed the application of the associated concepts. In the last decade the progress in the areas of chaos and fractals revealed subtle relationships with the fractional calculus leading to an increasing interest in the development of the new paradigm. In the area of a...