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 …

The Gaussian function has been employed in a vast number of practical and theoretical
applications since it was proposed. Likewise, Gaussian function and its ordinary derivatives …

Image denoising is an important task in image processing. The interest in using a fractional
mask window operator based on fractional calculus has grown for image denoising. This …

In this paper, we have studied some theoretical properties concerning the Caputo-Fabrizio
fractional operators. Also we obtained expressions for the fractional integral and derivative …

Background. In a pathological examination of pancreaticoduodenectomy for pancreatic
head adenocarcinoma, a resection margin without cancer cells in 1 mm is recognized as R0; …

In this paper, Landsat image enhancement based on the fractional and integral differential
methods is compared. Enhancement techniques used in remote sensing are based on the …

In recent years, the research on image processing based on fractional calculus has attracted
much attention. In this work, we proposed a new way to construct an image edge detection …

Reducing noise from images is an essential structure of the image processing study. Noises
can arise with images through achievement on diffusion. The existence of noise can delay …

Recently, the combined fractional operator (CFO) is introduced and discussed in Baleanu et
al.[1] in real domain. In this paper, we extend CFO to the complex domain and study its …

The present paper focuses on the enhancement of magnetic resonance imaging (MRI)
images of the brain tumor using the Gr ü ̈u nwald Letnikov (GL) fractional differential mask …