Found 64 Documents (Results 1–64)
Determining of a space dependent coefficient of fractional diffusion equation with the generalized Riemann-Liouville time derivative. (English) Zbl 07896163
Shape and location recovery of laser excitation sources in photoacoustic imaging using topological gradient optimization. (English) Zbl 07890888
Inverting mechanical and variable-order parameters of the Euler-Bernoulli beam on viscoelastic foundation. (English) Zbl 1542.65104
On inverse problems for a strongly damped wave equation on compact manifolds. (English) Zbl 1537.35417
Convolution kernel determination problem for the time-fractional diffusion equation. (English) Zbl 1533.35366
Reviewer: Pu-Zhao Kow (Taipei City)
An inverse potential problem for the stochastic diffusion equation with a multiplicative white noise. (English) Zbl 1529.35570
Well-posedness and regularity results for a class of fractional Langevin diffusion equations. (English) Zbl 1537.35399
Analysis of a fractional viscoelastic Euler-Bernoulli beam and identification of its piecewise continuous polynomial order. (English) Zbl 1537.35388
Initial-boundary value problem for a multiterm time-fractional differential equation and its application to an inverse problem. (English) Zbl 1531.35368
Inverse coefficient problem for the time-fractional diffusion equation with Hilfer operator. (English) Zbl 1531.35391
Equivalence of definitions of solutions for some class of fractional diffusion equations. (English) Zbl 1530.35345
The backward problem for radially symmetric time-fractional diffusion-wave equation under Robin boundary condition. (English) Zbl 1529.35579
Topological sensitivity method for reconstruction of the spatial component in the source term of a time-fractional diffusion equation. (English) Zbl 1526.35310
An inverse problem of determining the fractional order in the TFDE using the measurement at one space-time point. (English) Zbl 1522.35588
The Cauchy problem for time-fractional linear nonlocal diffusion equations. (English) Zbl 1529.35540
Initial boundary value problem for a time fractional wave equation on a metric graph. (English) Zbl 1538.35448
Existence and uniqueness of weak solutions to a truncated system for a class of time-fractional reaction-diffusion-advection systems. (English) Zbl 1518.35652
On inverse problems for uncoupled space-time fractional operators involving time-dependent coefficients. (English) Zbl 1514.35466
Uniqueness for an inverse coefficient problem for a one-dimensional time-fractional diffusion equation with non-zero boundary conditions. (English) Zbl 1512.35677
Variable-order time-fractional diffusion equation with Mittag-Leffler kernel: regularity analysis and uniqueness of determining variable order. (English) Zbl 1510.35377
Initial-boundary value problems for multi-term time-fractional wave equations. (English) Zbl 1503.35275
Coefficient inverse problem for variable order time-fractional diffusion equations from distributed data. (English) Zbl 1498.35618
Topological sensitivity analysis method in identifying of point sources via time-fractional diffusion equation. (English) Zbl 1510.35367
Existence and uniqueness of solutions to uncertain fractional switched systems with an uncertain stock model. (English) Zbl 1498.34045
Simultaneous determination of different class of parameters for a diffusion equation from a single measurement. (English) Zbl 1491.35463
A numerical method for solving retrospective inverse problem of fractional parabolic equation. (English) Zbl 1489.65132
Recovery of advection coefficient and fractional order in a time-fractional reaction-advection-diffusion-wave equation. (English) Zbl 1490.35545
Inverse problem to identify a space-dependent diffusivity coefficient in a generalized subdiffusion equation from final data. (English) Zbl 1487.35447
Analysis of nonlinear fractional diffusion equations with a Riemann-Liouville derivative. (English) Zbl 1497.35499
A Borg-Levinson theorem for magnetic Schrödinger operators on a Riemannian manifold. (Un théorème de Borg-Levinson pour les opérateurs de Schrödinger magnétiques sur une variété Riemannienne.) (English. French summary) Zbl 1517.35255
Reviewer: Jonathan Rohleder (Stockholm)
Uniquely identifying the variable order of time-fractional partial differential equations on general multi-dimensional domains. (English) Zbl 07479289
MSC:
35R30
Direct and inverse Cauchy problems for generalized space-time fractional differential equations. (English) Zbl 1485.35404
Recovering space-dependent source for a time-space fractional diffusion wave equation by fractional Landweber method. (English) Zbl 1473.65167
The uniqueness of inverse problems for a fractional equation with a single measurement. (English) Zbl 1472.35455
Well-posedness for weak and strong solutions of non-homogeneous initial boundary value problems for fractional diffusion equations. (English) Zbl 1474.35657
Inverting the variable fractional order in a variable-order space-fractional diffusion equation with variable diffusivity: analysis and simulation. (English) Zbl 1472.34033
Reviewer: Krishnan Balachandran (Coimbatore)
Existence and regularity results for terminal value problem for nonlinear fractional wave equations. (English) Zbl 1460.35368
A fractional parabolic inverse problem involving a time-dependent magnetic potential. (English) Zbl 1467.35354
Reviewer: Giovanni S. Alberti (Genova)
On existence and regularity of a terminal value problem for the time fractional diffusion equation. (English) Zbl 1469.35233
Multidimensional Borg-Levinson inverse spectral problems. (English) Zbl 1459.35406
Ammari, Kaïs (ed.) et al., Identification and control: some challenges. Summer school, Monastir, Tunisia, June 18–20, 2019. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 757, 19-49 (2020).
Regularization of a backward problem for the inhomogeneous time-fractional wave equation. (English) Zbl 1445.35317
Inverse problems for heat equation and space-time fractional diffusion equation with one measurement. (English) Zbl 1443.35168
On a terminal value problem for pseudoparabolic equations involving Riemann-Liouville fractional derivatives. (English) Zbl 1442.35235
Inversion of the initial value for a time-fractional diffusion-wave equation by boundary data. (English) Zbl 1437.65124
Landweber iterative method for identifying the initial value problem of the time-space fractional diffusion-wave equation. (English) Zbl 07191904
MSC:
65-XX
Initial-boundary value problems for multi-term time-fractional diffusion equations with \(x \)-dependent coefficients. (English) Zbl 1431.35231
Uniqueness result for a fractional diffusion coefficient identification problem. (English) Zbl 1513.35546
Reconstruction of a time-dependent source term in a time-fractional diffusion-wave equation. (English) Zbl 1465.65089
Recovering a space-dependent source term in a time-fractional diffusion wave equation. (English) Zbl 1468.65129
Determination of the initial data in a time-fractional diffusion-wave problem by a final time data. (English) Zbl 1443.35179
MSC:
35R11
A simultaneous inversion problem for the variable-order time fractional differential equation with variable coefficient. (English) Zbl 1435.65152
Uniqueness of determining the variable fractional order in variable-order time-fractional diffusion equations. (English) Zbl 1428.35675
Reconstruction and stable recovery of source terms and coefficients appearing in diffusion equations. (English) Zbl 1427.35360
Unique recovery of lower order coefficients for hyperbolic equations from data on disjoint sets. (English) Zbl 1419.35245
Reviewer: Elena V. Tabarintseva (Chelyabinsk)
The backward problem for a time-fractional diffusion-wave equation in a bounded domain. (English) Zbl 1417.35224
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