Found 159 Documents (Results 1–100)
An efficient computational technique for semilinear time-fractional diffusion equation. (English) Zbl 07924848
A boundary value problem with impulsive effects and Riemann-Liouville tempered fractional derivatives. (English) Zbl 07924382
Feynman-Kac formula for general diffusion equations driven by TFBM with Hurst index \(H \in (0,1)\). (English) Zbl 07901388
Tempered nonlocal integrodifferential equations with nonsmooth solution data. (English) Zbl 07901103
A fast Euler-Maruyama scheme and its strong convergence for multi-term Caputo tempered fractional stochastic differential equations. (English) Zbl 07899960
A robust numerical scheme for solving Riesz-tempered fractional reaction-diffusion equations. (English) Zbl 07890846
Infinite system of nonlinear tempered fractional order BVPs in tempered sequence spaces. (English) Zbl 07880443
On periodic solutions for implicit nonlinear Caputo tempered fractional differential problems. (English) Zbl 07863326
A numerical method for solutions of tempered fractional differential equations. (English) Zbl 07834884
Stochastic calculus for tempered fractional Brownian motion and stability for SDEs driven by TFBM. (English) Zbl 1535.60110
Some boundedness results for \(\psi\)-Riemann-Liouville and \(\psi\)-Riemann-Liouville tempered fractional integrals in \(\mathbb{R}\). (English) Zbl 07833707
Reviewer: James Adedayo Oguntuase (Abeokuta)
Nonexistence of solutions to fractional parabolic problem with general nonlinearities. (English) Zbl 1534.35436
Feynman-Kac formula for tempered fractional general diffusion equations with nonautonomous external potential. (English) Zbl 1532.60228
An anisotropic tempered fractional \(p\)-Laplacian model involving logarithmic nonlinearity. (English) Zbl 1532.35503
A second-order finite difference scheme for nonlinear tempered fractional integrodifferential equations in three dimensions. (English) Zbl 1530.65096
A preconditioned iterative method for coupled fractional partial differential equation in European option pricing. (English) Zbl 07919420
Implicit Caputo tempered fractional differential boundary value problems with infinite delay in Banach spaces. (English) Zbl 07850668
Midpoint-type inequalities via twice-differentiable functions on tempered fractional integrals. (English) Zbl 1537.26010
Symmetry and monotonicity of positive solutions for Choquard equations involving a generalized tempered fractional \(p\)-Laplacian in \(\mathbb{R}^n\). (English) Zbl 1537.35374
Nonlinear contractions and Caputo tempered impulsive implicit fractional differential equations in \(b\)-metric spaces. (English) Zbl 07804654
Numerical solutions of the integro-partial fractional diffusion heat equation involving tempered \(\psi \)-Caputo fractional derivative. (English) Zbl 1535.65125
Partial topology identification of tempered fractional-order complex networks via synchronization method. (English) Zbl 1533.34014
Stability analysis of tempered fractional nonlinear Mathieu type equation model of an ion motion with octopole-only imperfections. (English) Zbl 1532.34053
Theories of tempered fractional calculus applied to tempered fractional Langevin and Vasicek equations. (English) Zbl 1529.35558
A fast numerical solution of the nonlinear tempered fractional integrodifferential equation. (English) Zbl 07776965
Existence and regularity results for semilinear stochastic time-tempered fractional wave equations with multiplicative Gaussian noise and additive fractional Gaussian noise. (English) Zbl 1527.35112
Asymptotic behaviour of time fractional stochastic delay evolution equations with tempered fractional noise. (English) Zbl 1523.34090
Boundary value problem with tempered fractional derivatives and oscillating term. (English) Zbl 1543.34009
High-order spectral collocation method using tempered fractional Sturm-Liouville eigenproblems. (English) Zbl 1538.65412
Solvability of an infinite system of fractional differential equations with \(p\)-Laplacian operator in a new tempered sequence space. (English) Zbl 1532.34026
Solvability of an infinite system of Langevin fractional differential equations in a new tempered sequence space. (English) Zbl 1522.34023
ADI finite element Galerkin methods for two-dimensional tempered fractional integro-differential equations. (English) Zbl 1529.65081
Block-centered finite difference method for a tempered subdiffusion model with time-dependent coefficients. (English) Zbl 1538.65247
On the equivalence of classical Helmholtz equation and fractional Helmholtz equation with arbitrary order. (English) Zbl 1521.35185
Existence of solutions to the iterative system of nonlinear two-point tempered fractional order boundary value problems. (English) Zbl 1517.34036
Optimal error estimate of an accurate second-order scheme for Volterra integrodifferential equations with tempered multi-term kernels. (English) Zbl 07713020
Regularity of semigroups for exponentially tempered stable processes with drift. (English) Zbl 1539.47081
Galerkin finite element method for a two-dimensional tempered time-space fractional diffusion equation with application to a Bloch-Torrey equation retaining Larmor precession. (English) Zbl 1540.65372
On Caputo tempered implicit fractional differential equations in \(b\)-metric spaces. (English) Zbl 1517.34009
Existence, uniqueness and stability analysis of a tempered fractional order thermistor boundary value problems. (English) Zbl 1517.34006
Reviewer: Sotiris K. Ntouyas (Ioannina)
Solution of space-time tempered fractional diffusion-wave equation using a high-order numerical method. (English) Zbl 1505.65277
Radial symmetry of a relativistic Schrödinger tempered fractional \(p\)-Laplacian model with logarithmic nonlinearity. (English) Zbl 1505.35014
On tempered fractional calculus with respect to functions and the associated fractional differential equations. (English) Zbl 1534.26001
Analytical and numerical investigation on the tempered time-fractional operator with application to the Bloch equation and the two-layered problem. (English) Zbl 1521.65073
Global attractiveness and quasi-invariant sets of impulsive neutral stochastic functional differential equations driven by tempered fractional Brownian motion. (English) Zbl 1524.60133
Galerkin finite element approximation for semilinear stochastic time-tempered fractional wave equations with multiplicative Gaussian noise and additive fractional Gaussian noise. (English) Zbl 1524.35704
On tempered Hilfer fractional derivatives with respect to functions and the associated fractional differential equations. (English) Zbl 1507.26011
Existence of an infinite system of fractional hybrid differential equations in a tempered sequence space. (English) Zbl 1509.47110
Nontrivial equilibrium solutions and general stability for stochastic evolution equations with pantograph delay and tempered fractional noise. (English) Zbl 1500.60038
Fast BDF2 ADI methods for the multi-dimensional tempered fractional integrodifferential equation of parabolic type. (English) Zbl 1524.65385
The continuity, regularity and polynomial stability of mild solutions for stochastic 2D-Stokes equations with unbounded delay driven by tempered fractional Gaussian noise. (English) Zbl 1500.35318
Reviewer: Lucio Galeati (Lausanne)
Convergence analysis of a LDG method for time-space tempered fractional diffusion equations with weakly singular solutions. (English) Zbl 07545429
Fast difference scheme for a tempered fractional Burgers equation in porous media. (English) Zbl 1503.65186
Optimality conditions involving the Mittag-Leffler tempered fractional derivative. (English) Zbl 1497.49009
Reviewer: Alain Brillard (Riedisheim)
Two-dimensional Gegenbauer wavelets for the numerical solution of tempered fractional model of the nonlinear Klein-Gordon equation. (English) Zbl 1484.65271
Fast difference scheme for the reaction-diffusion-advection equation with exact artificial boundary conditions. (English) Zbl 1486.65113
New theories and applications of tempered fractional differential equations. (English) Zbl 1537.34017
Mittag-Leffler stability analysis of tempered fractional neural networks with short memory and variable-order. (English) Zbl 1504.34008
Reviewer: Kunquan Lan (Toronto)
Differential equations with tempered \(\Psi\)-Caputo fractional derivative. (English) Zbl 1483.34016
Fourth-order alternating direction implicit difference scheme to simulate the space-time Riesz tempered fractional diffusion equation. (English) Zbl 1480.65200
Local existence-uniqueness and monotone iterative approximation of positive solutions for \(p\)-Laplacian differential equations involving tempered fractional derivatives. (English) Zbl 1504.34017
A numerical algorithm for the Caputo tempered fractional advection-diffusion equation. (English) Zbl 1476.34166
Algorithm implementation and numerical analysis for the two-dimensional tempered fractional Laplacian. (English) Zbl 1530.65143
Crank-Nicolson quasi-compact schemes for one-sided normalized tempered fractional diffusion equations with drift. (Chinese. English summary) Zbl 1488.65277
Attractivity for tempered fractional differential equations on abstract space. (Chinese. English summary) Zbl 1488.34072
Standing waves of tempered fractional \(p\)-Laplace systems involving logarithmic nonlinearity. (Chinese. English summary) Zbl 1488.35580
Analysis of impulsive tempered fractional differential system via variational approach. (Chinese. English summary) Zbl 1488.34060
Radial symmetry for logarithmic Choquard equation involving a generalized tempered fractional \(p\)-Laplacian. (English) Zbl 1473.35643
Exponential behavior and upper noise excitation index of solutions to evolution equations with unbounded delay and tempered fractional Brownian motions. (English) Zbl 1470.35070
Substantial, tempered, and shifted fractional derivatives: three faces of a tetrahedron. (English) Zbl 1470.26012
An implicit-explicit preconditioned direct method for pricing options under regime-switching tempered fractional partial differential models. (English) Zbl 1476.65167
A fully discrete local discontinuous Galerkin method with the generalized numerical flux to solve the tempered fractional reaction-diffusion equation. (English) Zbl 1476.65256
On high-order schemes for tempered fractional partial differential equations. (English) Zbl 1477.65130
Efficient Hermite spectral methods for space tempered fractional diffusion equations. (English) Zbl 1468.65162
Existence-uniqueness and monotone iteration of positive solutions to nonlinear tempered fractional differential equation with \(p\)-Laplacian operator. (English) Zbl 1496.34052
Measure of noncompactness of a new space of tempered sequences and its application on fractional differential equations. (English) Zbl 1502.47067
Certain Grüss-type inequalities via tempered fractional integrals concerning another function. (English) Zbl 1503.26073
Third-order numerical schemes for one-sided normalized tempered fractional diffusion equations with drift. (Chinese. English summary) Zbl 1474.65412
Discontinuous Galerkin methods and their adaptivity for the tempered fractional (convection) diffusion equations. (English) Zbl 1474.65371
Numerical schemes for a class of tempered fractional integro-differential equations. (English) Zbl 1451.65242
Numerical approximation for fractional diffusion equation forced by a tempered fractional Gaussian noise. (English) Zbl 07229474
Tempered random attractors of a non-autonomous non-local fractional equation driven by multiplicative white noise. (English) Zbl 1444.35169
Reviewer: Raffaella Servadei (Arcavata di Rende)
Anisotropic nonlocal diffusion operators for normal and anomalous dynamics. (English) Zbl 1448.60192
Convergence analysis of a LDG method for tempered fractional convection-diffusion equations. (English) Zbl 1442.65247
A preconditioning technique for all-at-once system from the nonlinear tempered fractional diffusion equation. (English) Zbl 1435.65135
A finite-difference approximation for the one- and two-dimensional tempered fractional Laplacian. (English) Zbl 1449.35453
Local discontinuous Galerkin methods for the time tempered fractional diffusion equation. (English) Zbl 1433.65166
Second-order numerical methods for the tempered fractional diffusion equations. (English) Zbl 1487.65120
Numerical simulation of two-dimensional tempered fractional diffusion equation. (Chinese. English summary) Zbl 1449.65174
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