Mixed Poisson-Gaussian noise reduction using a time-space fractional differential equations

FG Bahador, P Mokhtary, M Lakestani - Information Sciences, 2023 - Elsevier
Images are frequently corrupted by various sorts of mixed or unrecognized noise, including
mixed Poisson-Gaussian noise, rather than just a single kind of noise. In this work, we …

[HTML][HTML] A numerical technique for variable fractional functional boundary value problems

X Li, B Wu - Applied Mathematics Letters, 2015 - Elsevier
This paper is concerned with an efficient numerical method for solving variable fractional
functional boundary value problems. The method is based on the reproducing kernel …

Enhanced shifted Jacobi operational matrices of derivatives: spectral algorithm for solving multiterm variable-order fractional differential equations

HM Ahmed - Boundary Value Problems, 2023 - Springer
This paper presents a new way to solve numerically multiterm variable-order fractional
differential equations (MTVOFDEs) with initial conditions by using a class of modified shifted …

Optimality conditions of singular controls for systems with Caputo fractional derivatives.

SS Yusubov, EN Mahmudov - Journal of Industrial & …, 2023 - search.ebscohost.com
In this paper, we consider an optimal control problem in which a dynamical system is
controlled by a nonlinear Caputo fractional state equation. The problem is investigated in the …

Design of variable fractional delay FIR filter using the high-order derivative sampling method

J Sun, Y Wang, Y Shen, S Lu - Digital Signal Processing, 2022 - Elsevier
In this study, a design algorithm for a variable fractional delay finite impulse response (FIR)
filter based on piecewise osculating interpolation (POI) is proposed. The proposed algorithm …

Applications of new smart algorithm based on kernel method for variable fractional functional boundary value problems

H Rasekhinezhad, S Abbasbandy… - International Journal of …, 2024 - Springer
This paper studies the variable fractional functional boundary value problems (VFF–BVPs)
by considering Caputo fractional derivative. We use the reproducing kernel method (RKM) …

A complex exponential structure for low-complexity variable fractional delay FIR filters

R Zhao, DB Tay - Circuits, Systems, and Signal Processing, 2023 - Springer
Variable fractional delay (VFD) filters generally require significantly greater computational
resources for implementation than static filters. The motivation of this work is therefore to …

Matrix-based algorithms for the optimal design of variable fractional delay FIR filters

R Zhao, X Hong - IEEE Transactions on Circuits and Systems I …, 2019 - ieeexplore.ieee.org
This paper investigates the weighted least squares (WLS) and minimax design problems for
variable fractional delay (VFD) FIR filters. For the WLS design, the general case of …

Numerical solution of variable-order fractional differential equations using Bernoulli polynomials

S Nemati, PM Lima, DFM Torres - Fractal and Fractional, 2021 - mdpi.com
We introduce a new numerical method, based on Bernoulli polynomials, for solving
multiterm variable-order fractional differential equations. The variable-order fractional …

Least lp-norm design of complex exponential structure variable fractional delay FIR filters

R Zhao - Signal Processing, 2024 - Elsevier
Most of variable fractional delay (VFD) filters adopt the well-known Farrow structure that
assumes an algebraic polynomial approximation to the varying impulse response. The …