Keywords: 45K05; 35P20; Controllability; Nonharmonic Fourier series Riesz basis;
مقالات ISI (ترجمه نشده)
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Keywords: primary; 35A01; secondary; 35Q35; 45K05; 76D03; Viscoelastic fluid; Initial-boundary value problem; Topological approximation method; Topological degree; Measure of noncompactness; Regular Lagrangian flow;
Keywords: 35Q92; 47D06; 45K05; 47G20; 60G51; Growth-fragmentation equation; Spectral analysis; Malthus exponent; Feynman-Kac formula;
Keywords: Time- and space-fractional multidimensional diffusion-wave equation; Fundamental solution; Mellin integral transform; Mellin-Barnes integral representation; Probability density function; 26A33; 35C05; 35E05; 35L05; 45K05; 60E99;
Keywords: 35B40; 35B33; 45K05; 47G20; Blow up solution; Global solution; Fujita exponent; Nonlocal diffusion; Dispersal tails; Hair trigger effect;
Keywords: 35Q53; 35B06; 35B40; 35S30; 45K05; Nonlocal equation; Solitary solutions; Symmetry; Exponential decay;
Keywords: The classes of integro-differential equations; Completely monotonic kernel; The second order backward difference type methods; Convolution quadrature; Weighted l1 asymptotic stability; 45K05; 65D30; 34K30; 65L07; 65M12;
Keywords: 34K33; 35B40; 45K05; 74D99; Equations of viscoelasticity; Singularly oscillating external forces; Dynamical process; Uniform global attractors;
Keywords: 47G20; 45K05; 35J60; 35B65; 35D10 (60J75); The Evans-Krylov theorem; Nonlocal parabolic fully nonlinear equations; Viscosity solutions;
Keywords: 35Q92; 45K05; 35B99; Structured populations; Non-local reaction-diffusion equations; Front acceleration;
Keywords: primary; 35F16; secondary; 35B40; 35C10; 45K05; 47D06; Growth-fragmentation equation; Long-time behavior; Lack of quasi-compactness; Positive semigroups;
Keywords: 35R09; 45K05; 35J60; 35J62; 35J70; 35K59; 47G20; 35D40; 35A01; 35B51; 35B40; Nonlocal quasilinear equations; Infinity-Laplace; p-Laplace; Viscosity solutions; Well-posedness; Local limits;
Keywords: primary; 35R11; secondary; 45K05; 35C15; 47G20; Nonlocal diffusion; Riemann-Liouville derivative; Fractional Laplacian; Decay of solutions; Energy inequality; Fundamental solution;
Keywords: 65N06; 45K05; 35K55Nonlinear parabolic integro-differential equation; Initial–boundary value problem; Mixed boundary conditions; Finite difference scheme; Convergence
Keywords: Vegetation pattern formation; Functional diversity; Desertification; Ecosystem engineers; Homoclinic snaking; Spatial resonances; 05.65.+b; 87.23.Cc; 89.75.âk; 35K55; 35K57; 45K05; 92B05;
Keywords: 35B40; 35B27; 45K05; 92C55Asymptotic decay; Nonlinear homogenization; Two-scale techniques
Keywords: 35R09; 35D40; 35J60; 47G20; 45K05; 93E20Viscosity solution; Integro-PDE; Hamilton–Jacobi–Bellman equation; Dini continuity
Keywords: 45K05; 65R20; 70C20; 74B05; 74R99; 74S20; Peridynamics; Meshfree method; Consistency; Nodal-based quadratures; Classical finite differences; Navier-Cauchy equation of classical elasticity;
Keywords: 35A05; 35B40; 45C05; 45K05; 82D60; 92D25; 62G05; 62G20Growth-fragmentation; Cell division; Nonparametric estimation; Bias selection; Minimax rates of convergence; Bellman–Harris processes
Keywords: 45K05; 80A20; 93D15Heat equation with memory; Stabilization; Feedback controller; Laplace operator; Spectral decomposition
Keywords: 35R15; 45K05; 49L25; 49N70; 91A13;
Keywords: 45K05; 60J75; 35B65Non-local parabolic integro-differential equations; Lévy processes; Martingale problem
Keywords: 42A38; 45K05; 93C20; Coupled systems; Convolution kernels; Fourier series; Ingham estimates; Reachability;
Keywords: nonlinear time-fractional equations of distributed order; existence-uniqueness theorems; viscosity solutions; regularity result26A33; 45K05; 45L05; 35B40; 35B65
Keywords: Jump-diffusion processes; Fokker–Planck equation; Partial integro-differential equation; Strang–Marchuk splitting; Chang–Cooper; Convergence analysis65M12; 45K05; 60J75; 82C31; 35Q84
Keywords: 45K05; 35D40; 60H10; 60H30Path-dependent integro-differential equations; Viscosity solutions; Backward SDEs with jumps; Skorokhod topologies; Martingale problems
Convergence of a flux-splitting finite volume scheme for conservation laws driven by Lévy noise
Keywords: Conservation laws; Lévy noise; Stochastic entropy solution; Young measures; Kruzkov's entropy; Finite volume scheme; 45K05; 46S50; 49L20; 49L25; 91A23; 93E20;
Aleksandrov-Bakelman-Pucci maximum principles for a class of uniformly elliptic and parabolic integro-PDE
Keywords: 35R09; 35B50; 35D35; 45K05; 93E20; Integro-PDE; Aleksandrov-Bakelman-Pucci maximum principle;
An Lq(Lp)-theory for the time fractional evolution equations with variable coefficients
Keywords: 45D05; 45K05; 45N05; 35B65; 26A33Fractional diffusion-wave equation; Lq(Lp)Lq(Lp)-theory; LpLp-theory; Caputo fractional derivative; Variable coefficients
Fundamental solutions of the fractional diffusion and the fractional Fokker–Planck equations
Keywords: α-Stable distribution; Green function; Similarity variable; Feller operator; Scale invariant method; Fractional diffusion equations26A33; 45K05; 60J60; 60G50; 60G51; 65N06; 80-99; 42A38
On the evolution pp-Laplacian with nonlocal memory
Keywords: 35K92; 45K05; 35B99
On an application of Tikhonov's fixed point theorem to a nonlocal Cahn–Hilliard type system modeling phase separation
Keywords: 35K40; 35K86; 45K05; 47H10; 80A22Cahn–Hilliard system; Nonlocal energy; Phase separation; Singular potentials; Initial–boundary value problem; Tikhonov's fixed point theorem
Cordes–Nirenberg type estimates for nonlocal parabolic equations
Keywords: 47G20; 45K05; 35J60; 35B65; 35D10; 60J75Nonlocal parabolic equations; Cordes–Nirenberg type estimates; Integro-differential operators
Continuous dependence estimate for conservation laws with Lévy noise
Keywords: 45K05; 46S50; 49L20; 49L25; 91A23; 93E20; Conservation laws; Stochastic forcing; Lévy noise; Stochastic entropy solution; Stochastic partial differential equations; Kružkov's entropy;
Asymptotic stability of thermoelastic systems of Bresse type
Keywords: 35B40; 45K05; 47D03; 74D05; 74F05Bresse system; Gurtin–Pipkin law; Contraction semigroup; Exponential stability; Stability number
On the stability of Timoshenko systems with Gurtin–Pipkin thermal law
Keywords: 35B40; 45K05; 47D03; 74D05; 74F05Timoshenko beam; Gurtin–Pipkin law; Contraction semigroup; Exponential stability; Stability number
Strong solutions for two-dimensional nonlocal Cahn–Hilliard–Navier–Stokes systems
Keywords: 35Q30; 37L30; 45K05; 76D03; 76T99Navier–Stokes equations; Nonlocal Cahn–Hilliard equations; Strong solutions; Global attractors; Convergence to equilibrium; Łojasiewicz–Simon inequality
Regularization by 12-Laplacian and vanishing viscosity approximation of HJB equations
Keywords: 45K05; 46S50; 49L20; 49L25; 91A23; 93E20Viscosity solutions; HJB equations; Vanishing viscosity; Integro-partial differential equation; Fractional Laplacian
Confinement in nonlocal interaction equations
Keywords: 35B40; 45K05; 49K20; 92DXXNonlocal interactions; Confinement; Gradient flows; Particle approximation
Exponential Decay for a Nonlinear Viscoelastic Equation with Singular Kernels
Keywords: viscoelastic wave equation; kernel; exponential decay; memory term; singular kernel35B40; 35L20; 45K05
Self-similarity in a general aggregation–fragmentation problem. Application to fitness analysis
Keywords: 35B40; 35B45; 35P20; 35Q92; 45C05; 45K05; 45M05; 82D60; 92D25Structured populations; Fragmentation-drift equation; Cell division; Long-time asymptotic; Eigenproblem; Self-similarity
An integro-differential equation for surface ocean waves with finite depth
Keywords: primary; 45K05; secondary; 35Q35; 76B15; Surface ocean wave; Integro-differential equations;
The numerical analysis on a Volterra equation with asymptotically periodic solution
Keywords: 45K05; 65J60; 65D32Volterra integro-dierential equation; Piecewise linear kernel; Order one operational quadrature; l1l1 remainder behavior
A mathematical modeling for the lookback option with jump–diffusion using binomial tree method
Keywords: 65M12; 35R35; 45K05; 62P05; 91B28Binomial tree method; Lookback option; Jump–diffusion model; Viscosity solution
Numerical method for solving diffusion-wave phenomena
Keywords: 26A33; 33E12; 45K05; 45D05; 46F10; 26A33Convolution equations; Fractional equations of distributed order; Diffusion-wave phenomena; Tempered distributions; Approximation of tempered convolution; Laguerre polynomials
Generation, motion and thickness of transition layers for a nonlocal Allen–Cahn equation
Keywords: 35K57; 45K05; 35B25; 35R35; 53C44Reaction–diffusion equation; Nonlocal PDE; Singular perturbation; Motion by mean curvature
A priori bounds for degenerate and singular evolutionary partial integro-differential equations
Keywords: 45K05; 47G20; 35K92Integro-differential equation; Quasilinear equation; pp-Laplacian; Fractional derivative; Degenerate parabolic equation; Weak solution; Energy estimates; De Giorgi technique
Attractors for the Cahn–Hilliard equation with memory in 2D
Keywords: 35B40; 35B41; 45K05; 82C26Cahn–Hilliard equation; Memory relaxation; Global attractors
Integro-differential Burgers equation. Solvability and homogenization
Keywords: 34K25; 35B27; 45K05; Integro-differential equation; Burgers equation; Global solvability; Homogenization;
From the Ehrenfest model to time-fractional stochastic processes
Keywords: 26A33; 45K05; 60J60; 60G50; 60G15; 65N06; 80-99Ehrenfest urn model; Diffusion processes; Central drift; Difference schemes; Time-fractional derivative; Stochastic processes; Reversible processes