Fractional complex transforms for fractional differential equations

RW Ibrahim - Advances in Difference Equations, 2012 - Springer
The fractional complex transform is employed to convert fractional differential equations
analytically in the sense of the Srivastava-Owa fractional operator and its generalization in …

[HTML][HTML] A novel pixel's fractional mean-based image enhancement algorithm for better image splicing detection

HA Jalab, MA Alqarni, RW Ibrahim… - Journal of King Saud …, 2022 - Elsevier
Image manipulation has become widely accessible to the masses over the past years due to
the sophisticated image editing tools which are readily-available and easy to use. As a …

Texture enhancement for medical images based on fractional differential masks

HA Jalab, RW Ibrahim - Discrete dynamics in nature and …, 2013 - Wiley Online Library
Texture enhancement for medical images is the most important technique in medical image
diagnosis. This paper introduces a texture enhancement technique for medical images by …

A new construction of a fractional derivative mask for image edge analysis based on Riemann-Liouville fractional derivative

P Amoako-Yirenkyi, JK Appati, IK Dontwi - Advances in Difference …, 2016 - Springer
We present a new way of constructing a fractional-based convolution mask with an
application to image edge analysis. The mask was constructed based on the Riemann …

Fractional boundary value problem in complex domain

A Yadav, T Mathur, S Agarwal, B Yadav - Journal of Mathematical Analysis …, 2023 - Elsevier
Fractional calculus of complex order in complex domain has emerged as a brand-new area
of study. Over the past few years, fractional boundary value problems (FBVP) in real …

Fractional differential texture descriptors based on the Machado entropy for image splicing detection

RW Ibrahim, Z Moghaddasi, HA Jalab, RM Noor - Entropy, 2015 - mdpi.com
Image splicing is a common operation in image forgery. Different techniques of image
splicing detection have been utilized to regain people's trust. This study introduces a texture …

Texture Enhancement Based on the Savitzky‐Golay Fractional Differential Operator

HA Jalab, RW Ibrahim - Mathematical Problems in Engineering, 2013 - Wiley Online Library
Texture enhancement for digital images is the most important technique in image
processing. The purpose of this paper is to design a texture enhancement technique using …

Boundary fractional differential equation in a complex domain

RW Ibrahim, JM Jahangiri - Boundary Value Problems, 2014 - Springer
We discuss univalent solutions of boundary fractional differential equations in a complex
domain. The fractional operators are taken in the sense of the Srivastava-Owa calculus in …

Denoising algorithm based on generalized fractional integral operator with two parameters

HA Jalab, RW Ibrahim - Discrete Dynamics in Nature and …, 2012 - Wiley Online Library
In this paper, a novel digital image denoising algorithm called generalized fractional integral
filter is introduced based on the generalized Srivastava‐Owa fractional integral operator …

Certain new class of analytic functions defined by using a fractional derivative and Mittag-Leffler functions

MF Khan, S Khan, S Hussain, M Darus, K Matarneh - Axioms, 2022 - mdpi.com
Fractional calculus has a number of applications in the field of science, specially in
mathematics. In this paper, we discuss some applications of fractional differential operators …