The present manuscript aims at raising awareness of the endless possibilities of fractional
calculus applied not only to system identification and control engineering, but also into …

Fractional calculus is an abstract idea exploring interpretations of differentiation having non-
integer order. For a very long time, it was considered as a topic of mere theoretical interest …

Based on a new definition for derivative and integral of fractional-order, several fractional
masks have been presented for the use of image denoising. In each method, the process …

This work deals with a higher order numerical approximation for analyzing a class of multi-
term time fractional partial integro-differential equations involving Volterra integral operators …

This paper presents a new fractional filter and an algorithm for retinal blood vessel
segmentation. The proposed fractional filter is designed with the help of a weighted …

Insufficient blood flow within the retinal vessels is believed to be the root cause of several
optical problems, including partial vision loss and blindness. The appearance and growth of …

For a class of tempered fractional integro-differential equation of the Caputo type, a
comparative study of three numerical schemes is presented in this paper. The schemes …

In this paper, we utilize a time‐fractional anisotropic diffusion equation for image denoising.
Theoretical results are provided thanks to Schauder fixed‐point theorem. A discretization …

This paper proposes a generalized fractional differential (GFD) mask which incorporates
various fractional-order kernels such as power-law kernel, exponentional kernel, and Mittag …

Time-space Jacobi pseudospectral method is constructed to approximate the numerical
solutions of the fractional Volterra integro-differential and parabolic Volterra integro …