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An Improved Object Detection Algorithm Based on the Hessian Matrix and Conformable Derivative
In this paper, a newfangled technique for edge detection that combines the Khalil conformable derivative and the Hessian matrix is developed and...
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Modeling Klebsiella pneumonia infections and antibiotic resistance dynamics with fractional differential equations: insights from real data in North Cyprus
This study presents an enhanced fractional-order mathematical model for analyzing the dynamics of Klebsiella pneumonia infections and antibiotic...
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Invariant set theorems for non-autonomous time-fractional systems
Though the commonly used fractional Lyapunov stability and LaSalle theorems have been beneficial in the development of the theory and applications of...
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Electroosmotic flow of two-layer fluid containing Oldroyd-B fluid with fractional derivative in a rotating microparallel channel
To simulate the mass separation or mixture for chemical or biological fluids with viscoelastic characteristics, the rotating electroosmotic flow...
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Fractional-Order SMC for the Deployment of STS
This chapter proposes a FO integral sliding mode control with the order $$0<\nu...
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The solution of the anomalous diffusion equation by a finite element method formulation based on the Caputo derivative
A finite element method formulation is developed for the solution of the anomalous diffusion equation. This equation belongs to the branch of...
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An Efficient Algorithm for Solving the Fractional Hepatitis B Treatment Model Using Generalized Bessel Polynomial
Hepatitis B is the most common serious liver infection in the world. The cause of this infection is hepatitis B virus (HBV) that attacks liver cells...
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An analytical study of Pythagorean fuzzy fractional wave equation using multivariate Pythagorean fuzzy fourier transform under generalized Hukuhara Caputo fractional differentiability
Pythagorean fuzzy fractional calculus provides a strong framework for modeling and analyzing complicated systems with uncertainty and indeterminacy....
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Higher-order tension spline-based numerical technique for time fractional reaction-diffusion wave equation with dam**
This article presents an efficient numerical technique based on tension spline for the time fractional reaction-diffusion wave equation with dam**....
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Generalized fractional-order hygro-thermo-viscoelastic wave propagation/reflection in annular spinning discs: comparisons with the classical and Lord–Shulman thermo-viscoelastic models
Propagation, reflection, and interference of the hygro-thermo-viscoelastic temperature, displacement, and stress waves are investigated here in...
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A Fractional Order Bazykin’s Predator–Prey System and its Solution
This paper addresses Bazykin’s prey predator system, which is an ecological model comprising two differential equations for prey and predator species...
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Analysis of improved fractional backstep** and lyapunov strategies for stabilization of inverted pendulum
Controlling an inverted pendulum towards an upright position is a difficult task. Backstep** control is an emerging tool for assisting this...
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A Reduced-Order Finite Difference Scheme Based on POD for Fractional Stochastic Advection–Diffusion Equation
This article introduces a new scheme for the fractional stochastic advection–diffusion equation (FSA-DE) in time where the fractional term is...
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A novel lagrange functional link neural network for solving variable-order fractional time-varying delay differential equations: a comparison with multilayer perceptron neural networks
This study introduces a novel functional link neural network and explores the associated theorems for a class of nonlinear differential equations...
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Fractional Reaction–Diffusion Model: An Efficient Computational Technique for Nonlinear Time-Fractional Schnakenberg Model
In this article, the q-homotopy analysis transform method (q-HATM) is committed to finding the solutions and analyzing the gathered results for the...
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A novel fractional-order flocking algorithm for large-scale UAV swarms
The rate of convergence is a vital factor in determining the outcome of the mission execution of unmanned aerial vehicle (UAV) swarms. However, the...
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A viscoelastic-viscoplastic mechanical model of time-dependent materials based on variable-order fractional derivative
A fractional viscoelastic-viscoplastic model is developed for time-dependent materials, by considering the reference stress in the fractional...
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Grid Method for Solving Local and Nonlocal Boundary Value Problems for a Loaded Moisture Transfer Equation with Two Fractional Differentiation Operators
This paper is devoted to the study of local and nonlocal boundary value problems for a loaded moisture transfer equation with two fractional...
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Study of the SIRI Model Utilizing the Caputo Derivative
In this article, we make qualitative studies of the SIRI model described by a fractional operator. In the investigations, the Caputo operator is...
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Parameter estimation of fractional chaotic systems based on stepwise integration and response sensitivity analysis
This paper presents a new parameter estimation approach for fractional chaotic systems based on stepwise integration and response sensitivity...
