Numerical methods for time-fractional evolution equations with nonsmooth data: a concise overview
Over the past few decades, there has been substantial interest in evolution equations that
involve a fractional-order derivative of order α∈(0, 1) in time, commonly known as …
involve a fractional-order derivative of order α∈(0, 1) in time, commonly known as …
Classical and fractional-order modeling of equivalent electrical circuits for supercapacitors and batteries, energy management strategies for hybrid systems and …
This work presents a state of the art review of energy storage systems and its applications
integrating an alternative technology for the electrical energy generation known as fuel cell …
integrating an alternative technology for the electrical energy generation known as fuel cell …
A stable meaningful image encryption scheme using the newly-designed 2D discrete fractional-order chaotic map and Bayesian compressive sensing
In order to safely and covertly protect the digital image information during public channel
transmission and localized storage, a stable image visually secure encryption algorithm by …
transmission and localized storage, a stable image visually secure encryption algorithm by …
Applications of fractional calculus in computer vision: a survey
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 …
integer order. For a very long time, it was considered as a topic of mere theoretical interest …
A new application of fractional Atangana–Baleanu derivatives: designing ABC-fractional masks in image processing
B Ghanbari, A Atangana - Physica A: Statistical Mechanics and its …, 2020 - Elsevier
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 …
masks have been presented for the use of image denoising. In each method, the process …
[HTML][HTML] Analytical solution of fractional differential equations by Akbari–Ganji's method
According to the various and extensive applications of fractional calculus in a range of fields,
such as engineering, biology, image processing, material science and economics …
such as engineering, biology, image processing, material science and economics …
Discrete memristor and discrete memristive systems
In this paper, we investigate the mathematical models of discrete memristors based on
Caputo fractional difference and G–L fractional difference. Specifically, the integer-order …
Caputo fractional difference and G–L fractional difference. Specifically, the integer-order …
[HTML][HTML] The plethora of exact and explicit soliton solutions of the hyperbolic local (4+ 1)-dimensional BLMP model via GERF method
In this article, some novel results to the hyperbolic local (4+ 1)-dim Boiti-Leon-Manna-
Pempinelli (BLMP) equation signifies the wave propagation over an incompressible fluid. In …
Pempinelli (BLMP) equation signifies the wave propagation over an incompressible fluid. In …
Optimized edge detection technique for brain tumor detection in MR images
Genetic algorithms (GAs) are intended to look for the optimum solution by eliminating the
gene strings with the worst fitness. Hence, this paper proposes an optimized edge detection …
gene strings with the worst fitness. Hence, this paper proposes an optimized edge detection …
Image inpainting based on fractional-order nonlinear diffusion for image reconstruction
G Sridevi, S Srinivas Kumar - Circuits, Systems, and Signal Processing, 2019 - Springer
Image inpainting, image deblurring, and noise removal are influential concepts in the field of
digital image processing. Second-order diffusion-based image restoration models suffer …
digital image processing. Second-order diffusion-based image restoration models suffer …