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A new fractional derivative operator with a generalized exponential kernel
This paper is mainly concerned with introducing a new fractional derivative operator with a generalized exponential kernel. The benefit of the new...
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Solution of space–time fractional diffusion equation involving fractional Laplacian with a local radial basis function approximation
Radial basis function-based finite difference (RBF-FD) schemes generalize finite difference methods, providing flexibility in node distribution as...
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Some Integral Transform Results for Hilfer–Prabhakar Fractional Derivative and Analysis of Free-Electron Laser Equation
In this paper, Natural transforms of Prabhakar integral, Hilfer–Prabhakar (HP) fractional derivative and regularized Caputo form of HP fractional...
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A creep constitutive model based on Atangana–Baleanu fractional derivative
Atangana–Baleanu (AB) fractional derivative solves some outstanding problems in the field of fractional differentiation because of its nonsingular...
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The Fractional Derivative and Moisture Diffusivity for Moore-Gibson-Thompson Model of Rotating Magneto-Semiconducting Material
PurposeThis paper presents original research into the effects of the Moore-Gibson-Thompson (MGT) effect on the diffusion of moisture in semiconductor...
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A Hybrid Computational Scheme for Solving Local Fractional Partial Differential Equations
A new type of methodology termed the local fractional natural homotopy perturbation method (LFNHPM) with the local fractional derivative operator...
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Dynamics of an Artificial Rain Making System in the Framework of the Fractional Derivative
Water crisis arising due to less rain affects the habitat in terms of drop** of groundwater level, shortage of drinking water, increase in...
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A SIR Epedimic Model Involving Fractional Atangana Derivative
This paper aime to analyzes a fractional order SIR epidemic model with a nonlinear incidence rate. First, we prove the global existence, positivity...
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Impulsive integro-differential systems involving conformable fractional derivative in Banach space
The existence of the mild solution to the impulsive integro-differential equation with a Conformable Fractional differential operator of order
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A modified aquila optimizer with wide plant adaptability for the tuning of optimal fractional proportional–integral–derivative controller
The heuristic tuning method of fractional-order proportional–integral–derivative (FOPID) control systems lacks robustness, and its performance often...
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Complex dynamics of a Caputo derivative-based fractional-order SIR model incorporating saturated incidence and recovery
In the current study, we develop and analyze a Caputo derivative-based fractional-order SIR-type epidemic model. The exact value of the basic...
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Achieving improved stability for automatic voltage regulation with fractional-order PID plus double-derivative controller and mountain gazelle optimizer
The stability of voltage in a power system is a critical factor that impacts the system’s performance. Automatic voltage regulator system plays a...
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A novel fractional neural grey system model with discrete q-derivative
The challenge of predicting time series with limited data has evolved over time due to nonlinearity, complexity, and limited information. It can be...
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Modeling the nonlinear creep behavior of Entandrophragma cylindricum wood by a fractional derivative model
Wood, favored for its renewable nature and ease of sha**, is widely used as a structural construction material. However, once in service, wood...
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Experimental Study and Fractional Derivative Model Prediction for Dynamic Viscoelasticity of Magnetorheological Elastomers
BackgroundAs a new type of magnetic sensitivity smart material, magnetorheological elastomers (MRE) showing a good magnetorheological effect have a...
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A Computational Study of Local Fractional Helmholtz and Coupled Helmholtz Equations in Fractal Media
In this manuscript, an approximate analytical solution of the Helmholtz and coupled Helmholtz equations of fractional order is obtained using local...
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New Fractional Derivative for Fuzzy Functions and Its Applications on Time Scale
We propose a new definition of fractional derivative and fractional integral for fuzzy functions on time scales. Also, some properties of the...
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An Efficient Local Meshfree Method for Signal Smoothing by a Time–Fractional Nonlinear Diffusion Equation
The nonlinear diffusion model is considered a suitable approach to reduce the noise in signals. The time-fractional nonlinear diffusion equation has...
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Existence and Uniqueness Solutions of Fuzzy Fractional Integration-Differential Problem Under Caputo gH-Differentiability
This paper is devoted to considering the local existence and uniqueness of fuzzy fractional integration-differential problem under Caputo-type fuzzy...