Perona-Malik model with diffusion coefficient depending on fractional gradient via Caputo-Fabrizio derivative

DOI10.1155/2020/7624829zbMath1474.94023OpenAlexW3046780829MaRDI QIDQ2198058

Gustavo Asumu Mboro Nchama, Mariano Rodriguez Ricard, Angela Leon Mecias

Publication date: 8 September 2020

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2020/7624829

Mathematics Subject Classification ID

Image processing (compression, reconstruction, etc.) in information and communication theory (94A08) Fractional partial differential equations (35R11) PDEs in connection with information and communication (35Q94)

Cites Work

• Unnamed Item
• Unnamed Item
• Adaptive fourth-order partial differential equation filter for image denoising
• Well-posedness for a class of fourth order diffusions for image processing
• A class of fourth-order telegraph-diffusion equations for image restoration
• Fully fractional anisotropic diffusion for image denoising
• Fractional differentiation for edge detection
• Applied functional analysis. Functional analysis, Sobolev spaces and elliptic differential equations
• Finite difference and Legendre spectral method for a time-fractional diffusion-convection equation for image restoration
• An anomalous diffusion model based on a new general fractional operator with the Mittag-Leffler function of Wiman type
• Image denoising based on adaptive fractional order with improved PM model
• High-order anisotropic diffusion operators in spaces of variable exponents and application to image inpainting and restoration problems
• Two enhanced fourth order diffusion models for image denoising
• Sinogram restoration for low-dosed \(X\)-ray computed tomography using fractional-order Perona-Malik diffusion
• Similarities in a fifth-order evolution equation with and with no singular kernel
• A comparative study for fractional chemical kinetics and carbon dioxide CO\(_2\) absorbed into phenyl glycidyl ether problems
• Numerical solutions of nonlinear fractional model arising in the appearance of the strip patterns in two-dimensional systems
• A modified analytical approach with existence and uniqueness for fractional Cauchy reaction-diffusion equations
• A new fractional modelling and control strategy for the outbreak of dengue fever
• A computational method to price with transaction costs under the nonlinear Black-Scholes model
• Low-dosed X-ray computed tomography imaging by regularized fully spatial fractional-order Perona-Malik diffusion
• External fractional-order gradient vector Perona-Malik diffusion for sinogram restoration of low-dosed X-ray computed tomography
• Image edge detection using fractional calculus with feature and contrast enhancement
• A novel solution for pressure drop in singly connected microchannels of arbitrary cross-section
• Fourth-order partial differential equations for noise removal
• Image Selective Smoothing and Edge Detection by Nonlinear Diffusion
• Image Selective Smoothing and Edge Detection by Nonlinear Diffusion. II
• A new Rabotnov fractional‐exponential function‐based fractional derivative for diffusion equation under external force
• A new fractional model and optimal control of a tumor-immune surveillance with non-singular derivative operator
• Solitary solutions for time-fractional nonlinear dispersive PDEs in the sense of conformable fractional derivative
• A new and efficient numerical method for the fractional modeling and optimal control of diabetes and tuberculosis co-existence