Found 384 Documents (Results 1–100)

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The efficient alternating direction implicit Galerkin method for the nonlocal diffusion-wave equation in three dimensions. (English)Zbl 1496.65162

MSC:  65M60 65M15 65M12
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Existence and optimal controls for Hilfer fractional Sobolev-type stochastic evolution equations. (English)Zbl 07595940

MSC:  26A33 35R11 93E20
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An efficient multigrid method with preconditioned smoother for two-dimensional anisotropic space-fractional diffusion equations. (English)Zbl 07595306

MSC:  65-XX 82-XX
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Time discrete abstract fractional Volterra equations via resolvent sequences. (English)Zbl 07592498

MSC:  26A33 34A12 39A12
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A new modified technique of Adomian decomposition method for fractional diffusion equations with initial-boundary conditions. (English)Zbl 07583312

MSC:  35R11 35A22 35C10
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Green function of the first boundary-value problem for the fractional diffusion-wave equation in a multidimensional rectangular domain. (English. Russian original)Zbl 1491.35436

J. Math. Sci., New York 260, No. 3, 325-334 (2022); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 167, 52-61 (2019).
MSC:  35R11 35K20 35L20
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High-order finite difference method based on linear barycentric rational interpolation for Caputo type sub-diffusion equation. (English)Zbl 07538450

MSC:  65-XX 76-XX
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A unified three-dimensional extended fractional analytical solution for air pollutants dispersion. (English)Zbl 1491.35439

MSC:  35R11 35A35
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Closed-form multi-dimensional solutions and asymptotic behaviors for subdiffusive processes with crossovers. I: Retarding case. (English)Zbl 07577274

MSC:  82-XX 45-XX
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Two linearized finite difference schemes for time fractional nonlinear diffusion-wave equations with fourth order derivative. (English)Zbl 1484.65179

MSC:  65M06 35R11 65M12
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A class of time-fractional Dirac type operators. (English)Zbl 07512485

MSC:  47G20 35R11 35R30
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The need for the fractional operators. (English)Zbl 1486.35409

MSC:  35R11 26A33
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A predictor-corrector scheme for solving the time fractional Fokker-Planck equation with uniform and non-uniform meshes. (English)Zbl 1476.35277

MSC:  35Q84 65M12 65K05
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Composition formulae for the $$k$$-fractional calculus operator with the $$S$$-function. (English)Zbl 1477.33023

MSC:  33E12 26A33
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Local existence and non-existence for a fractional reaction-diffusion equation in Lebesgue spaces. (English)Zbl 07414218

MSC:  35R11 35K57 26A33
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Resolvent positive operators and positive fractional resolvent families. (English)Zbl 1492.47041

MSC:  47B65 46B40
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Fast second-order implicit difference schemes for time distributed-order and Riesz space fractional diffusion-wave equations. (English)Zbl 07351738

MSC:  65-XX 76-XX
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Capturing multifractality of pressure fluctuations in thermoacoustic systems using fractional-order derivatives. (English)Zbl 1459.76073

MSC:  76F80 26A33
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Approximate solution of homogeneous and nonhomogeneous $$5\alpha$$ th-order space-time fractional KdV equations. (English)Zbl 07342019

MSC:  65-XX 35-XX
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Well-posedness for weak and strong solutions of non-homogeneous initial boundary value problems for fractional diffusion equations. (English)Zbl 1474.35657

MSC:  35R11 35B30 35R05
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An efficient numerical method for estimating eigenvalues and eigenfunctions of fractional Sturm-Liouville problems. (English)Zbl 07331075

MSC:  65-XX 45-XX
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Well-posedness and regularity for fractional damped wave equations. (English)Zbl 1458.35464

MSC:  35R11 35L20 26A33
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The development of higher-order numerical differential formulas of Caputo derivative and their applications (I). (English)Zbl 07308037

MSC:  65-XX 35-XX
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An approach for weighted mixed-norm estimates for parabolic equations with local and non-local time derivatives. (English)Zbl 1468.35230

MSC:  35R11 35K10 35B45
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Superconvergence analysis of FEM for 2D multi-term time fractional diffusion-wave equations with variable coefficient. (English)Zbl 1480.65345

MSC:  65N30 35R11 65N12
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MSC:  82C70
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On fractional partial differential equations of diffusion type with integral kernel. (English)Zbl 1467.35330

Manchanda, Pammy (ed.) et al., Mathematical modelling, optimization, analytic and numerical solutions. Selected papers based on the presentations at the international conference in conjunction with 14th biennial conference of ISIAM, Guru Nanak Dev University, Amritsar, India, February 2–4, 2018. Singapore: Springer. Ind. Appl. Math., 333-349 (2020).
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Anomalous diffusion and random search in xyz-comb: exact results. (English)Zbl 1456.60277

MSC:  60K50 82C31 60J70
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Stabilization of solutions to the Cauchy problem for fractional diffusion-wave equation. (English. Russian original)Zbl 1450.35277

J. Math. Sci., New York 250, No. 5, 800-810 (2020); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 149, 84-94 (2018).
MSC:  35R11 35B40 35L05
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Augmented upwind numerical schemes for a fractional advection-dispersion equation in fractured groundwater systems. (English)Zbl 1491.65077

MSC:  65M06 35R11 76S05
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Identifying inverse source for fractional diffusion equation with Riemann-Liouville derivative. (English)Zbl 1449.35450

MSC:  35R11 35B65 26A33
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Crossover dynamics from superdiffusion to subdiffusion: models and solutions. (English)Zbl 1439.35519

MSC:  35R11 35K57 33E12
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Regularity theory for a nonlinear fractional reaction-diffusion equation. (English)Zbl 1439.35264

MSC:  35K57 35B40 35R11
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MSC:  35R11
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MSC:  82-XX
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MSC:  82-XX
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Application of fractional operators in modelling for charge carrier transport in amorphous semiconductor with multiple trapping. (English)Zbl 1457.82368

MSC:  82C70 35R11
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Superconvergence analysis of nonconforming finite element method for time-fractional nonlinear parabolic equations on anisotropic meshes. (English)Zbl 1442.65285

MSC:  65M60 65M12 35R11
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An efficient iterative approach for three-dimensional modified anomalous fractional sub-diffusion equations on a large domain. (English)Zbl 1459.65094

MSC:  65K10 26A33 35R11
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Numerical methods for time-fractional evolution equations with nonsmooth data: a concise overview. (English)Zbl 1440.65138

MSC:  65M60 35R11 65M15
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Optimum solutions of fractional order Zakharov-Kuznetsov equations. (English)Zbl 1435.35411

MSC:  35R11 35Q53
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An implicit Keller box numerical scheme for the solution of fractional subdiffusion equations. (English)Zbl 1429.65195

MSC:  65M06 35R11 65M12
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A local theory for a fractional reaction-diffusion equation. (English)Zbl 1421.35397

MSC:  35R11 35K57
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Subordination principles for the multi-dimensional space-time-fractional diffusion-wave equation. (English)Zbl 1461.35007

Theory Probab. Math. Stat. 98, 127-147 (2019) and Teor. Jmovirn. Mat. Stat. 98, 121-141 (2018).
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A hybrid analytical algorithm for nonlinear fractional wave-like equations. (English)Zbl 1423.65001

MSC:  65M99 35R11 35L05
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Optimal control of diffusion equation with fractional time derivative with nonlocal and nonsingular Mittag-Leffler kernel. (English)Zbl 1421.49004

MSC:  49J20 49K20 26A33
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Caputo-Riesz-Feller fractional wave equation: analytic and approximate solutions and their continuation. (English)Zbl 1418.35366

MSC:  35R11 35C20
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A high-order scheme to approximate the Caputo fractional derivative and its application to solve the fractional diffusion wave equation. (English)Zbl 1416.65258

MSC:  65M06 35R11
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The critical exponent(s) for the semilinear fractional diffusive equation. (English)Zbl 1414.35255

MSC:  35R11 35A01 35B33
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A fractional optimal control problem with final observation governed by wave equation. (English)Zbl 1409.35218

MSC:  35R11 49J20 35L05
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Green’s function of two-dimensional time-fractional diffusion equation using addition formula of Wright function. (English)Zbl 1408.26006

MSC:  26A33 33E12 65R10
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Invariant analysis and conservation laws for the time fractional $$(2+1)$$-dimensional Zakharov-Kuznetsov modified equal width equation using Lie group analysis. (English)Zbl 1442.35013

MSC:  35A30 35Q53
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Numerical solution of space fractional diffusion equation by the method of lines and splines. (English)Zbl 1427.65218

MSC:  65M20 35R11 65M12
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Blow-up and global existence of solutions for a time fractional diffusion equation. (English)Zbl 1427.35332

MSC:  35R11 35K55 35B44
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Effect of the nodes near boundary points on the stability analysis of sixth-order compact finite difference ADI scheme for the two-dimensional time fractional diffusion-wave equation. (English)Zbl 1416.65283

MSC:  65M06 35R11 65M12
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