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Edge detection using the Prewitt operator with fractional order telegraph partial differential equations (PreFOTPDE)
Detecting edges in image processing is an important process in image analysis or enhancement. Many methods detected edge information based on the...
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A new decomposition transform method for solving nonlinear fractional logistic differential equation
In this paper, we focus on solving nonlinear fractional logistic differential equation within the Caputo–Fabrizio fractional derivative operator....
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Numerical solution of distributed-order fractional Korteweg-de Vries equation via fractional Zigzag rising diagonal functions
The goal of this article is to develop a spectral collocation method for solving a distributed-order fractional Korteweg-de Vries equation using...
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Fractional-order Chelyshkov wavelet method for solving variable-order fractional differential equations and an application in variable-order fractional relaxation system
We give an efficient numerical approach to solve variable-order fractional differential equations (VO-FDEs) by applying fractional-order generalized...
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Analytic Solutions of Fractional Differential Equation Associated with the k-Symbol Tremblay Differential Operator
A generalization of Tremblay differential operator is obtained in terms of the...
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Strong 1.5 order scheme for fractional Langevin equation based on spectral approximation of white noise
A full-discrete scheme is presented for a Langevin equation involving Caputo fractional derivative and additive white noise. Based on a spectral...
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Medical image segmentation model based on caputo fractional differential
Medical image segmentation technology, as a key work of modern medical such as intelligent medical diagnosis, has attracted a lot of attention....
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A high-order numerical scheme for multidimensional convection-diffusion-reaction equation with time-fractional derivative
This paper considers a high-order numerical method for a computed solution of multidimensional convection-diffusion-reaction equation with...
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A fast algorithm for multi-term time-space fractional diffusion equation with fractional boundary condition
In this paper, the multi-term time-space fractional diffusion equation with fractional boundary conditions is considered. The fractional derivative...
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Event-based delayed impulsive control for fractional-order dynamic systems with application to synchronization of fractional-order neural networks
In this paper, delayed impulsive control for fractional-order dynamic systems via event-triggering mechanism (ETM) is investigated, in which the...
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A second-order finite difference scheme for the multi-dimensional nonlinear time-fractional Schrödinger equation
This paper is concerned with a linearized second-order finite difference scheme for solving the nonlinear time-fractional Schrödinger equation in d ( d ...
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Order-Dependent Sampling Control of Uncertain Fractional-Order Neural Networks System
The asymptotic stability of the fractional-order neural networks system with uncertainty by sampled-data controller is addressed in the article....
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Fractional-order rumor propagation model with memory effect
The harm of online rumor cannot be ignored, and the research on its spreading mechanism is the core issue of rumor governance. People’s judgment on...
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A numerical approach based on Pell polynomial for solving stochastic fractional differential equations
In this article, Pell operational matrix method is discussed to solve the stochastic fractional differential equation. For that purpose, the Pell...
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Efficient high-order exponential time differencing methods for nonlinear fractional differential models
Exponential integrators, due to their robust stability properties, have been considered as reliable schemes for numerical solutions of stiff systems....
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A fast second-order predictor-corrector method for a nonlinear time-fractional Benjamin-Bona-Mahony-Burgers equation
A second-order predictor-corrector method of Nguyen and Jang (Fract. Calc. Appl. Anal. 20 (2), 447–476,
2017 ) is generalised to graded meshes to solve... -
Multi-focus image fusion using residual removal and fractional order differentiation focus measure
Multi-focus image fusion is a technique that merges partially focused images to create a totally focused image. However, most existing focus measures...
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Gradient Optimization in Reconstruction of the Diffusion Coefficient in a Time Fractional Integro-Differential Equation of Pollution in Porous Media
An optimization Lagrange multiplier adjoint equation approach for an inverse problem of estimating a space-dependent diffusion coefficient in a...
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A novel method to approximate fractional differential equations based on the theory of functional connections
In this paper, we propose a new method of using the theory of functional connections (TFC) to approximate the solution of fractional differential...
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A mixed virtual element method for the time-fractional fourth-order subdiffusion equation
We propose and analyze a mixed virtual element method for time-fractional fourth-order subdiffusion equation involving the Caputo fractional...
