Found 88 Documents (Results 1–88)
New error bounds for Newton’s formula associated with tempered fractional integrals. (English) Zbl 07880481
A comprehensive study on Milne-type inequalities with tempered fractional integrals. (English) Zbl 1541.26042
Asymptotic behavior of weighted quadratic variation of tempered fractional Brownian motion. (English) Zbl 1537.60047
Mean value and Taylor-type results for tempered fractional derivatives. (English) Zbl 1541.26028
MSC:
26A33
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)
Novel results of Milne-type inequalities involving tempered fractional integrals. (English) Zbl 07829915
Feynman-Kac formula for tempered fractional general diffusion equations with nonautonomous external potential. (English) Zbl 1532.60228
A preconditioned iterative method for coupled fractional partial differential equation in European option pricing. (English) Zbl 07919420
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
Partial topology identification of tempered fractional-order complex networks via synchronization method. (English) Zbl 1533.34014
High-order spectral collocation method using tempered fractional Sturm-Liouville eigenproblems. (English) Zbl 1538.65412
Hermite-Hadamard-type inequalities for \(^\ast\)differentiable multiplicative \(m\)-preinvexity and \((s, m)\)-preinvexity via the multiplicative tempered fractional integrals. (English) Zbl 1538.26107
Solvability of an infinite system of Langevin fractional differential equations in a new tempered sequence space. (English) Zbl 1522.34023
Block-centered finite difference method for a tempered subdiffusion model with time-dependent coefficients. (English) Zbl 1538.65247
Optimal error estimate of an accurate second-order scheme for Volterra integrodifferential equations with tempered multi-term kernels. (English) Zbl 07713020
Characterizations of the gyrator transform via the fractional Fourier transform. (English) Zbl 1518.42010
Reviewer: Lotfi Kamoun (Monastir)
Solution of space-time tempered fractional diffusion-wave equation using a high-order numerical method. (English) Zbl 1505.65277
On tempered fractional calculus with respect to functions and the associated fractional differential equations. (English) Zbl 1534.26001
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
Tempered fractionally integrated process with stable noise as a transient anomalous diffusion model. (English) Zbl 1505.60076
Existence of solutions for an infinite system of tempered fractional order boundary value problems in the spaces of tempered sequences. (English) Zbl 1495.34126
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
Some inequalities for multiplicative tempered fractional integrals involving the \(\lambda \)-incomplete gamma functions. (English) Zbl 1485.26034
Local existence-uniqueness and monotone iterative approximation of positive solutions for \(p\)-Laplacian differential equations involving tempered fractional derivatives. (English) Zbl 1504.34017
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
Substantial, tempered, and shifted fractional derivatives: three faces of a tetrahedron. (English) Zbl 1470.26012
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
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
Discontinuous Galerkin methods and their adaptivity for the tempered fractional (convection) diffusion equations. (English) Zbl 1474.65371
A preconditioning technique for all-at-once system from the nonlinear tempered fractional diffusion equation. (English) Zbl 1435.65135
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
Fractional Fourier transformation of Schwartz test functions. (English) Zbl 1443.46025
Reviewer: P. K. Banerji (Jodhpur)
The probabilistic point of view on the generalized fractional partial differential equations. (English) Zbl 1483.35002
Efficient multistep methods for tempered fractional calculus: algorithms and simulations. (English) Zbl 07099350
Analysis and numerical approximation of tempered fractional calculus of variations problems. (English) Zbl 1425.49015
A high-order numerical algorithm for two-dimensional time-space tempered fractional diffusion-wave equation. (English) Zbl 1404.65085
Time discretization of a tempered fractional Feynman-Kac equation with measure data. (English) Zbl 1405.65141
A computationally efficient method for tempered fractional differential equations with application. (English) Zbl 1405.65092
Reviewer: Kai Diethelm (Schweinfurt)
A high order finite difference method for tempered fractional diffusion equations with applications to the CGMY model. (English) Zbl 1407.65106
A fast preconditioned penalty method for American options pricing under regime-switching tempered fractional diffusion models. (English) Zbl 1406.91484
Variational methods for Kirchhoff type problems with tempered fractional derivative. (English) Zbl 1432.34013
Solvability of an integral equation of Erdélyi-Kober type in the class of subpower functions. (English) Zbl 1470.45005
Numerical algorithms for the time-space tempered fractional Fokker-Planck equation. (English) Zbl 1422.65183
Stability and convergence of the Crank-Nicolson scheme for a class of variable-coefficient tempered fractional diffusion equations. (English) Zbl 1422.65180
Fourth-order numerical method for the space-time tempered fractional diffusion-wave equation. (English) Zbl 1375.65173
High order schemes for the tempered fractional diffusion equations. (English) Zbl 1347.65136
Reviewer: Yajuan Sun (Beijing)
Spatial dispersion of elastic waves in a bar characterized by tempered nonlocal elasticity. (English) Zbl 1381.74027
On fractional tempered stable processes and their governing differential equations. (English) Zbl 1349.60062
Tempered Hermite process. (English) Zbl 1352.60035
A quadratic integral equation in the space of functions with tempered moduli of continuity. (English) Zbl 1333.26006
Equivalence of subordinated processes with tempered \(\alpha\)-stable waiting times and fractional Fokker-Planck equations in space and time dependent fields. (English) Zbl 1327.82071
A Chebyshev pseudospectral method to solve the space-time tempered fractional diffusion equation. (English) Zbl 1302.35403
Distributions of finite order as a space of pseudoquotients. (English) Zbl 1307.46028
Reviewer: Biljana Tome Jolevska-Tuneska (Skopje)
Transient anomalous sub-diffusion on bounded domains. (English) Zbl 1266.60087
Reviewer: Anatoly N. Kochubei (Kyïv)
Large linear equation with left and right fractional derivatives in a finite interval. (English) Zbl 1299.26015
MSC:
26A33
Semilinear ordinary differential equation coupled with distributed order fractional differential equation. (English) Zbl 1194.26006
Reviewer: Juan J. Trujillo (La Laguna)
Distributional framework for solving fractional differential equations. (English) Zbl 1170.26003
Reviewer: James Adedayo Oguntuase (Abeokuta)
On the Wiener integral with respect to a sub-fractional Brownian motion on an interval. (English) Zbl 1154.60041
Fractional differential equations through Laguerre expansions in abstract spaces: error estimates. (English) Zbl 1116.65132
Reviewer: Pat Lumb (Chester)
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