Found 4,153 Documents (Results 1–100)
Bayesian Inversion with Neural Operator (BINO) for modeling subdiffusion: forward and inverse problems. (English) Zbl 07901824
Multiplicity and concentration properties for fractional Choquard equations with exponential growth. (English) Zbl 07931693
On an initial value problem for time fractional pseudo-parabolic equation with Caputo derivative. (English) Zbl 07924844
Integro-differential equations linked to compound birth processes with infinitely divisible addends. (English) Zbl 07924811
Instantaneous blow-up for a fractional-in-time evolution equation arising in plasma theory. (English) Zbl 07924798
The study of nonlinear fractional partial differential equations via the Khalouta-Atangana-Baleanu operator. (English) Zbl 07924366
A new efficient transform mechanism with convergence analysis of the space-fractional telegraph equations. (English) Zbl 07924358
Global existence and continuous dependence on parameters of conformable pseudo-parabolic inclusion. (English) Zbl 07923027
Ulam-Hyers-Rassias Mittag-Leffler stability of \(\varpi\)-fractional partial differential equations. (English) Zbl 07917636
High-order BDF convolution quadrature for fractional evolution equations with hyper-singular source term. (English) Zbl 07915983
Linearly implicit schemes preserve the maximum bound principle and energy dissipation for the time-fractional Allen-Cahn equation. (English) Zbl 07915964
On the solution existence for collocation discretizations of time-fractional subdiffusion equations. (English) Zbl 07915944
Continuous data assimilation for the 3D and higher-dimensional Navier-Stokes equations with higher-order fractional diffusion. (English) Zbl 07915183
Analysis of a WSGD scheme for backward fractional Feynman-Kac equation with nonsmooth data. (English) Zbl 07914908
The fractional logarithmic Schrödinger operator: properties and functional spaces. (English) Zbl 07914778
An \(L_q(L_p)\)-theory for space-time non-local equations generated by Lévy processes with low intensity of small jumps. (English) Zbl 07914042
Higher order numerical approximations for non-linear time-fractional reaction-diffusion equations exhibiting weak initial singularity. (English) Zbl 07912598
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
Global well-posedness and asymptotic behavior for the Euler-alignment system with pressure. (English) Zbl 07910515
Correction of a high-order numerical method for approximating time-fractional wave equation. (English) Zbl 07909819
The Nehari manifold for a class of singular \(\psi\)-Riemann-Liouville fractional with \(p\)-Laplacian operator differential equations. (English) Zbl 07908867
Reconstructing the historical distribution of diffusion equation with poly-fractional operator in multi-dimensional space. (English) Zbl 07908355
Solutions of hyperbolic system of time fractional partial differential equations for heat propagation. (English) Zbl 07907433
Solving strongly nonlinear fractional Fredholm integral-differential equations in Caputo’s sense using the SBA method. (English) Zbl 07907360
Uniqueness and non-degeneracy of solutions for nonlinear fractional Schrödinger equation with perturbation. (English) Zbl 07906046
Meshless analysis of fractional diffusion-wave equations by generalized finite difference method. (English) Zbl 07903720
Determining coefficients for a fractional \(p\)-Laplace equation from exterior measurements. (English) Zbl 07903640
An efficient collocation technique based on operational matrix of fractional-order Lagrange polynomials for solving the space-time fractional-order partial differential equations. (English) Zbl 07901885
An innovative Vieta-Fibonacci wavelet collocation method for the numerical solution of three-component Brusselator reaction diffusion system of fractional order. (English) Zbl 07901487
Invariant Gibbs measure for a Schrödinger equation with exponential nonlinearity. (English) Zbl 07900801
Global existence and continuous dependence on parameters of bi-parabolic equation. (English) Zbl 07900268
On the analytical soliton approximations to fractional forced Korteweg-de Vries equation arising in fluids and plasmas using two novel techniques. (English) Zbl 07899350
Some applications and maximum principles for multi-term time-space fractional parabolic Monge-Ampère equation. (English) Zbl 07899342
Global smooth solution to the \(n\)-dimensional liquid crystal equations with fractional dissipation. (English) Zbl 07899339
Lie symmetry analysis of time fractional nonlinear partial differential equations in Hilfer sense. (English) Zbl 07899243
Decay results of weak solutions to the non-stationary fractional Navier-Stokes equations. (English) Zbl 07898750
Fractional diffusion limit of a linear Boltzmann model with reflective boundaries in a half-space. (English) Zbl 1542.82016
Improved image denoising through fractional anisotropic diffusion and resolution-tailored differentiation in the Fourier domain. (English) Zbl 07893184
Two-dimensional solitons in second-harmonic-generating media with fractional diffraction. (English) Zbl 07893180
The role of Allee effects for Gaussian and Lévy dispersals in an environmental niche. (English) Zbl 07893154
Reviewer: Eugene Postnikov (Kursk)
Shape and location recovery of laser excitation sources in photoacoustic imaging using topological gradient optimization. (English) Zbl 07890888
Nonlinear dynamic wave characteristics of optical soliton solutions in ion-acoustic wave. (English) Zbl 07890884
The forward self-similar solution of fractional incompressible Navier-Stokes system: the critical case. (English) Zbl 07890708
On non-linear fractional order coupled pantograph differential equations under nonlocal boundary conditions. (English) Zbl 07890149
Gaussian-RBF interpolant and third-order compact discretization of 2d anomalous diffusion-convection model on a mesh-mapped non-uniform grid network. (English) Zbl 07887967
\(q\)-homotopy analysis method for time-fractional Newell-Whitehead equation and time-fractional generalized Hirota-Satsuma coupled KdV system. (English) Zbl 07887626
A novel adaptive meshless method for solving the nonlinear time fractional telegraph equations on arbitrary domains. (English) Zbl 1543.65175
A Legendre-spectral method for Hadamard fractional partial differential equations. (English) Zbl 1543.65170
A generalized Gegenbauer wavelet collocation method for solving \(p\)-type fractional neutral delay differential and delay partial differential equations. (English) Zbl 1543.65105
Stability and convergence analysis of a Crank-Nicolson Galerkin scheme for the fractional Korteweg-de Vries equation. (English) Zbl 1543.35201
Incorporation of concentration gradient of blood nutrients in erythrocyte sedimentation rate fractional model with non-zero uniform average blood velocity. (English) Zbl 07883086
Well-posedness of mild solutions for superdiffusion equations with spatial nonlocal operators. (English) Zbl 1543.35278
Multiplicity and concentration behavior of solutions to a class of fractional Kirchhoff equation involving exponential nonlinearity. (English) Zbl 1543.35276
Application of double Sumudu-generalized Laplace decomposition method and two-dimensional time-fractional coupled Burger’s equation. (English) Zbl 1543.35152
Some boundary-value problems corresponding to the model of fractional differential filtration dynamics in a fractured porous media under the condition of time non-locality. (English. Ukrainian original) Zbl 1543.35149
Cybern. Syst. Anal. 60, No. 3, 403-414 (2024); translation from Kibern. Sist. Anal. 60, No. 3, 77-89 (2024).
Existence of a unique global solution, and its decay at infinity, for the modified supercritical dissipative quasi-geostrophic equation. (English) Zbl 1543.35170
Stability analysis according to the regularity of external forces of a semi-implicit difference scheme for time fractional Navier-Stokes equations. (English) Zbl 1543.35133
A finite difference approximation for the solution of the space fractional diffusion equation. (English) Zbl 07878620
Sobolev-Lorentz spaces with an application to the inhomogeneous biharmonic NLS equation. (English) Zbl 1543.35214
Regularity results of 2D magneto-micropolar equations without kinematic dissipation. (English) Zbl 1543.35161
Midpoint splitting methods for nonlinear space fractional diffusion equations. (English) Zbl 1542.65086
Minimizers of nonlocal polyconvex energies in nonlocal hyperelasticity. (English) Zbl 07874999
Reviewer: Alain Brillard (Riedisheim)
Existence of periodic measures of fractional stochastic delay complex Ginzburg-Landau equations on \(\mathbb{R}^n\). (English) Zbl 1543.37075
Rational factorization of Hamiltonian flows in the space dual to the Lie algebra of fractional integrodifferential operators and Benney-type integrable hydrodynamic systems. (English. Ukrainian original) Zbl 1542.35314
J. Math. Sci., New York 279, No. 3, 308-329 (2024); translation from Neliniĭni Kolyvannya 26, No. 2, 179-198 (2023).
Separation method of semifixed variables together with integral bifurcation method for solving generalized time-fractional thin-film equations. (English) Zbl 07872030
Numerical insights of fractal-fractional modeling of magnetohydrodynamic Casson hybrid nanofluid with heat transfer enhancement. (English) Zbl 07872017
Extremal functions for a fractional Morrey inequality: symmetry properties and limit at infinity. (English) Zbl 1542.35018
The Brezis-Nirenberg problem for fractional \(p\)-Laplacian systems in unbounded domains. (English) Zbl 1542.35420
Gradient blow-up for dispersive and dissipative perturbations of the Burgers equation. (English) Zbl 1542.35345
Unraveling forward and backward source problems for a nonlocal integrodifferential equation: a journey through operational calculus for Dzherbashian-Nersesian operator. (English) Zbl 07869432
Impulsive fractional partial differential system and its correct equivalent integral equation. (English) Zbl 07869392
Fundamental and dipole gap solitons and their dynamics in the cubic-quintic fractional nonlinear Schrödinger model with a \(\mathcal{PT}\)-symmetric lattice. (English) Zbl 1542.35362
Regularity criteria of the 2D fractional Boussinesq equations in the supercritical case. (English) Zbl 07867885
Lie symmetry, exact solutions and conservation laws of time fractional Black-Scholes equation derived by the fractional Brownian motion. (English) Zbl 1541.35513
Ginzburg-Landau equation with fractional Laplacian on a upper-right quarter plane. (English) Zbl 1542.35365
Asymptotic stability of rarefaction wave for compressible Euler system with velocity alignment. (English) Zbl 1542.35289
Formation and propagation of fundamental and vortex soliton families in 1D and 2D dual-Lévy-index fractional nonlinear Schrödinger equations with cubic-quintic nonlinearity. (English) Zbl 07864746
Fractional multiple trapping model of time-of-flight transient photocurrents in amorphous semiconductors. (English. Russian original) Zbl 07864592
Theor. Math. Phys. 219, No. 2, 839-855 (2024); translation from Teor. Mat. Fiz. 219, No. 2, 352-371 (2024).
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