Found 252 Documents (Results 1–100)
From Lévy walks to fractional material derivative: pointwise representation and a numerical scheme. (English) Zbl 07912597
\(\mathrm{L}1\)-FEM discretizations for two-dimensional multiterm fractional delay diffusion equations. (English) Zbl 07912572
A novel multi-frame image super-resolution model based on regularized nonlinear diffusion with Caputo time fractional derivative. (English) Zbl 07912567
Event-triggered synchronization control for fractional-order IT2 fuzzy multi-weighted complex dynamical networks with deception attacks. (English) Zbl 07900521
Finite-time adaptive event-triggered output feedback intelligent control for noninteger order nonstrict feedback systems with asymmetric time-varying pseudo-state constraints and nonsmooth input nonlinearities. (English) Zbl 1542.93358
Convolution quadrature for Hadamard fractional calculus and correction methods for the subdiffusion with singular source terms. (English) Zbl 07899929
Lattice Boltzmann model for incompressible flows through porous media with time-fractional effects. (English) Zbl 07861474
Novel passivity and dissipativity criteria for discrete-time fractional generalized delayed Cohen-Grossberg neural networks. (English) Zbl 1536.93518
Group consensus for fractional-order heterogeneous multi-agent systems under cooperation-competition networks with time delays. (English) Zbl 1536.93817
A second-order \(L2\)-\(1_\sigma\) difference scheme for the nonlinear time-space fractional Schrödinger equation. (English) Zbl 1533.65133
\(\alpha\)-robust analysis of fast and novel two-grid FEM with nonuniform \(\mathrm{L}1\) scheme for semilinear time-fractional variable coefficient diffusion equations. (English) Zbl 1533.65153
Modelling and simulations in time-fractional electrodynamics based on control engineering methods. (English) Zbl 1541.78007
Global Mittag-Leffler boundedness of nabla discrete-time fractional-order fuzzy complex-valued molecular models of mRNA and protein in regulatory mechanisms. (English) Zbl 1532.92036
Normalized fractional gradient flow for nonlinear Schrödinger/Gross-Pitaevskii equations. (English) Zbl 1532.65045
Reviewer: Denys Dutykh (Le Bourget-du-Lac)
Alternating direction implicit approach for the two-dimensional time fractional nonlinear Klein-Gordon and sine-Gordon problems. (English) Zbl 1531.65111
Filtering-based gradient joint identification algorithms for nonlinear fractional-order models with colored noises. (English) Zbl 1531.93412
Discrete Chebyshev polynomials for the numerical solution of stochastic fractional two-dimensional Sobolev equation. (English) Zbl 1531.65197
Conservation laws for systems of non-standard Birkhoffians with fractional derivatives. (English) Zbl 07793540
Caputo fractional differential variational-hemivariational inequalities involving history-dependent operators: global error bounds and convergence. (English) Zbl 07784300
Pontryagin’s maximum principle for a fractional integro-differential Lagrange problem. (English) Zbl 1530.49020
Reviewer: Alain Brillard (Riedisheim)
Quasi-uniform synchronization of fractional fuzzy discrete-time delayed neural networks via delayed feedback control design. (English) Zbl 1523.93005
Quantized iterative learning control for singular nonlinear fractional-order time-delay multi-agent systems with iteration-varying reference trajectories and switching topologies. (English) Zbl 1522.93067
Fractional-order modeling and optimal control of a new online game addiction model based on real data. (English) Zbl 1509.91029
A fractional optimal control model for a simple cash balance problem. (English) Zbl 1520.91430
Reviewer: John O’Hara (Colchester)
Chaotic oscillators with two types of semi-fractal equilibrium points: bifurcations, multistability, and fractal basins of attraction. (English) Zbl 1516.37038
Optimal error estimation of two fast structure-preserving algorithms for the Riesz fractional sine-Gordon equation. (English) Zbl 1508.65108
Novel and accurate Gegenbauer spectral tau algorithms for distributed order nonlinear time-fractional telegraph models in multi-dimensions. (English) Zbl 1508.65138
Reviewer: Marius Ghergu (Dublin)
State-of-charge estimation for lithium-ion batteries based on incommensurate fractional-order observer. (English) Zbl 1510.93302
An efficient approach to converting the damping fractal models to the traditional system. (English) Zbl 1516.70032
A novel hybrid approach for computing numerical solution of the time-fractional nonlinear one and two-dimensional partial integro-differential equation. (English) Zbl 1508.65110
Reviewer: Kanakadurga Sivakumar (Chennai)
Finiteness conditions for performance indices in generalized fractional-order systems defined based on the regularized Prabhakar derivative. (English) Zbl 1505.93246
Fractional dynamics and modulational instability in long-range Heisenberg chains. (English) Zbl 1505.82058
New discussion regarding approximate controllability for Sobolev-type fractional stochastic hemivariational inequalities of order \(r\in(1,2)\). (English) Zbl 1512.93020
A fractional-step DG-FE method for the time-dependent generalized Boussinesq equations. (English) Zbl 1500.65062
Difference methods for time discretization of spectral fractional stochastic wave equation. (English) Zbl 07609360
Global stabilization of uncertain nonlinear systems via fractional-order PID. (English) Zbl 1499.93063
On the existence of traveling fronts in the fractional-order amari neural field model. (English) Zbl 1508.92036
A generalized proportional Caputo fractional model of multi-agent linear dynamic systems via impulsive control protocol. (English) Zbl 1498.93023
On the existence and uniqueness of solutions to a nonlinear variable order time-fractional reaction-diffusion equation with delay. (English) Zbl 1496.65143
Electromagnetic field in a conducting medium modeled by the fractional Ohm’s law. (English) Zbl 1494.78007
A vertex-centred finite volume method for the 3D multi-term time and space fractional Bloch-Torrey equation with fractional Laplacian. (English) Zbl 1503.65206
Reviewer: Abdallah Bradji (Annaba)
An efficient hybrid numerical method for multi-term time fractional partial differential equations in fluid mechanics with convergence and error analysis. (English) Zbl 1502.65161
A discussion on nonlocality: from fractional derivative model to peridynamic model. (English) Zbl 1495.76103
Distributed order fractional diffusion equation with fractional Laplacian in axisymmetric cylindrical configuration. (English) Zbl 1500.35290
Stability analysis of fixed point of fractional-order coupled map lattices. (English) Zbl 1491.39006
A hybrid impulsive and sampled-data control for fractional-order delayed reaction-diffusion system of mRNA and protein in regulatory mechanisms. (English) Zbl 1490.92027
Stationary response determination of MDOF fractional nonlinear systems subjected to combined colored noise and periodic excitation. (English) Zbl 1510.70055
On a discrete composition of the fractional integral and Caputo derivative. (English) Zbl 1491.26006
Generalized Lyapunov stability and designing pseudo-state/order estimator for incommensurate variable order systems. (English) Zbl 1482.93444
Nonlinear growth and mathematical modelling of COVID-19 in some African countries with the Atangana-Baleanu fractional derivative. (English) Zbl 1478.92202
Nonstationary response statistics of fractional oscillators to evolutionary stochastic excitation. (English) Zbl 1492.74068
Fractional derivative resolution of the anomalous magnetic field diffusion through a ferromagnetic steel rod: application to eddy current testing. (English) Zbl 1481.78021
Time-fractional telegraph equation of distributed order in higher dimensions. (English) Zbl 1471.35313
High-dimensional nonlinear Ginzburg-Landau equation with fractional Laplacian: discretization and simulations. (English) Zbl 1493.65128
Anomalous diffusion and electrical impedance response: fractional operators with singular and non-singular kernels. (English) Zbl 1476.78014
To study existence of at least three weak solutions to a system of over-determined Fredholm fractional integro-differential equations. (English) Zbl 1470.45014
Duality of fractional systems. (English) Zbl 1470.26013
A modified Mikhailov stability criterion for a class of discrete-time noncommensurate fractional-order systems. (English) Zbl 1459.39041
Local generalizations of the derivatives on the real line. (English) Zbl 1467.26002
Reviewer: Andrey Zahariev (Plovdiv)
Generalization of Kramers-Krönig relations for evaluation of causality in power-law media. (English) Zbl 1457.78007
Multidimensional scaling analysis of generalized mean discrete-time fractional order controllers. (English) Zbl 1458.93114
Fractional-order models for the static and dynamic analysis of nonlocal plates. (English) Zbl 1459.74112
Quantization method and Schrödinger equation of fractional time and their weak effects on Hamiltonian: phase transitions of energy and wave functions. (English) Zbl 1452.81110
An integro quadratic spline-based scheme for solving nonlinear fractional stochastic differential equations with constant time delay. (English) Zbl 1455.65017
An investigation of nonlinear time-fractional anomalous diffusion models for simulating transport processes in heterogeneous binary media. (English) Zbl 1452.76227
An existence and uniqueness theorem for a fractional boundary value problem via new fixed point results on quasi metric spaces. (English) Zbl 1448.54025
A fourth-order dissipation-preserving algorithm with fast implementation for space fractional nonlinear damped wave equations. (English) Zbl 1448.65105
A physical interpretation of fractional-order-derivatives in a jerk system: electronic approach. (English) Zbl 1457.34073
Exploring the impact of fractional-order capacitive behavior on the hysteresis effects of perovskite solar cells: a theoretical perspective. (English) Zbl 1460.78018
Explicit solutions to fractional Stefan-like problems for Caputo and Riemann-Liouville derivatives. (English) Zbl 1450.35302
Option pricing under finite moment log stable process in a regulated market: a generalized fractional path integral formulation and Monte Carlo based simulation. (English) Zbl 1508.91547
Commutative and associative properties of the Caputo fractional derivative and its generalizing convolution operator. (English) Zbl 1451.26007
Reviewer: Kai Diethelm (Schweinfurt)
On well-posedness of the sub-diffusion equation with conformable derivative model. (English) Zbl 1450.35276
Numerical treatment of non-linear fourth-order distributed fractional sub-diffusion equation with time-delay. (English) Zbl 1452.65172
Adaptive synchronization of Julia sets generated by Mittag-Leffler function. (English) Zbl 1456.37045
Vector Lyapunov-like functions for multi-order fractional systems with multiple time-varying delays. (English) Zbl 1455.93174
Reviewer: Anatoly Martynyuk (Kyïv)
Signal propagation in electromagnetic media described by fractional-order models. (English) Zbl 1451.78013
On the properties of some operators under the perspective of fractional system theory. (English) Zbl 1468.34012
Reviewer: Stig-Olof Londen (Aalto)
Pinning synchronization of fractional and impulsive complex networks via event-triggered strategy. (English) Zbl 1457.93058
Reviewer: Tiit Riismaa (Tallinn)
A gWSGL numerical scheme for generalized fractional sub-diffusion problems. (English) Zbl 1451.65127
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