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Non-Overlapping Domain Decomposition for 1D Optimal Control Problems Governed by Time-Fractional Diffusion Equations on Coupled Domains: Optimality System and Virtual Controls.
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- Fractal & Fractional, 2024, v. 8, n. 3, p. 129, doi. 10.3390/fractalfract8030129
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- Article
Addisonian pigmentation associated with acute lymphoblastic leukemia: A rare paraneoplastic phenomenon.
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- Pediatric Dermatology, 2023, v. 40, n. 6, p. 1112, doi. 10.1111/pde.15341
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- Article
Müntz–Legendre wavelet method for solving Sturm–Liouville fractional optimal control problem with error estimates.
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- Mathematical Methods in the Applied Sciences, 2023, v. 46, n. 12, p. 12505, doi. 10.1002/mma.9192
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A modified variable‐order fractional SIR model to predict the spread of COVID‐19 in India.
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- Mathematical Methods in the Applied Sciences, 2023, v. 46, n. 7, p. 8208, doi. 10.1002/mma.7655
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- Article
Legendre wavelet method for solving variable‐order nonlinear fractional optimal control problems with variable‐order fractional Bolza cost.
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- Asian Journal of Control, 2023, v. 25, n. 3, p. 2122, doi. 10.1002/asjc.2856
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- Article
Well‐posedness, optimal control and discretization for time‐fractional parabolic equations with time‐dependent coefficients on metric graphs.
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- Asian Journal of Control, 2023, v. 25, n. 3, p. 2360, doi. 10.1002/asjc.2958
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- Article
Learning parameters of a system of variable order fractional differential equations.
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- Numerical Methods for Partial Differential Equations, 2023, v. 39, n. 3, p. 1962, doi. 10.1002/num.22796
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Difference methods for stochastic space fractional diffusion equation driven by additive space–time white noise via Wong–Zakai approximation.
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- Journal of Mathematical Chemistry, 2023, v. 61, n. 1, p. 47, doi. 10.1007/s10910-022-01408-w
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Necessary optimality conditions for two dimensional fractional optimal control problems and error estimates for the numerical approximation.
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- ZAMM -- Journal of Applied Mathematics & Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 2022, v. 102, n. 12, p. 1, doi. 10.1002/zamm.202200143
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Numerical solution of variable‐order stochastic fractional integro‐differential equation with a collocation method based on Müntz–Legendre polynomial.
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- Mathematical Methods in the Applied Sciences, 2022, v. 45, n. 13, p. 8125, doi. 10.1002/mma.8076
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- Article
Distributed optimal control problems driven by space-time fractional parabolic equations.
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- Control & Cybernetics, 2022, v. 51, n. 2, p. 191, doi. 10.2478/candc-2022-0014
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- Article
The Crank-Nicolson type compact difference schemes for a loaded time-fractional Hallaire equation.
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- Fractional Calculus & Applied Analysis, 2021, v. 24, n. 4, p. 1231, doi. 10.1515/fca-2021-0053
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- Article
Wavelet-optimized compact finite difference method for convection–diffusion equations.
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- International Journal of Nonlinear Sciences & Numerical Simulation, 2021, v. 22, n. 3/4, p. 353, doi. 10.1515/ijnsns-2018-0295
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- Article
Existence results and stability analysis for a nonlinear fractional boundary value problem on a circular ring with an attached edge : A study of fractional calculus on metric graph.
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- Networks & Heterogeneous Media, 2021, v. 16, n. 2, p. 155, doi. 10.3934/nhm.2021003
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- Article
An approach based on Haar wavelet for the approximation of fractional calculus with application to initial and boundary value problems.
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- Mathematical Methods in the Applied Sciences, 2021, v. 44, n. 4, p. 3195, doi. 10.1002/mma.6800
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Fractional optimal control problems on a star graph: Optimality system and numerical solution.
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- Mathematical Control & Related Fields, 2021, v. 11, n. 1, p. 189, doi. 10.3934/mcrf.2020033
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- Article
Legendre wavelet collocation method for fractional optimal control problems with fractional Bolza cost.
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- Numerical Methods for Partial Differential Equations, 2021, v. 37, n. 2, p. 1693, doi. 10.1002/num.22604
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- Article
Collocation method for solving nonlinear fractional optimal control problems by using Hermite scaling function with error estimates.
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- Optimal Control - Applications & Methods, 2021, v. 42, n. 2, p. 417, doi. 10.1002/oca.2681
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- Article
An adaptive spectral graph wavelet method for PDEs on networks.
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- Advances in Computational Mathematics, 2021, v. 47, n. 1, p. 1, doi. 10.1007/s10444-020-09824-9
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A fast adaptive spectral graph wavelet method for the viscous Burgers' equation on a star‐shaped connected graph.
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- Mathematical Methods in the Applied Sciences, 2020, v. 43, n. 13, p. 7595, doi. 10.1002/mma.5907
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An Adaptive Wavelet Collocation Method for Solution of the Convection-Dominated Problem on a Sphere.
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- International Journal of Computational Methods, 2018, v. 15, n. 8, p. N.PAG, doi. 10.1142/S0219876218500809
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- Article
FOURTH-ORDER COMPACT SCHEME FOR OPTION PRICING UNDER THE MERTON’S AND KOU’S JUMP-DIFFUSION MODELS.
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- International Journal of Theoretical & Applied Finance, 2018, v. 21, n. 4, p. N.PAG, doi. 10.1142/S0219024918500279
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- Article
Multilevel approximation of the gradient operator on an adaptive spherical geodesic grid.
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- Advances in Computational Mathematics, 2015, v. 41, n. 3, p. 663, doi. 10.1007/s10444-014-9382-z
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- Article
A Dynamic Adaptive Wavelet Method for Solution of the Schrodinger Equation.
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- Journal of Multiscale Modeling, 2015, v. 6, n. 1, p. -1, doi. 10.1142/S1756973714500012
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- Article
APPROXIMATE SOLUTION OF MODIFIED CAMASSA-HOLM AND DEGASPERIS-PROCESI EQUATIONS USING WAVELET OPTIMIZED FINITE DIFFERENCE METHOD.
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- International Journal of Wavelets, Multiresolution & Information Processing, 2013, v. 11, n. 2, p. 1, doi. 10.1142/S0219691313500197
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ERROR ESTIMATES FOR LINEAR PDEs SOLVED BY WAVELET BASED TAYLOR–GALERKIN SCHEMES.
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- International Journal of Wavelets, Multiresolution & Information Processing, 2009, v. 7, n. 2, p. 143, doi. 10.1142/S0219691309002799
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ERROR ESTIMATES FOR TIME ACCURATE WAVELET BASED SCHEMES FOR HYPERBOLIC PARTIAL DIFFERENTIAL EQUATIONS.
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- International Journal of Wavelets, Multiresolution & Information Processing, 2007, v. 5, n. 4, p. 667, doi. 10.1142/S0219691307001963
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CUBIC SPLINE ADAPTIVE WAVELET SCHEME TO SOLVE SINGULARLY PERTURBED REACTION DIFFUSION PROBLEMS.
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- International Journal of Wavelets, Multiresolution & Information Processing, 2007, v. 5, n. 2, p. 317, doi. 10.1142/S021969130700177X
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TIME ACCURATE FAST THREE-STEP WAVELET-GALERKIN METHOD FOR PARTIAL DIFFERENTIAL EQUATIONS.
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- International Journal of Wavelets, Multiresolution & Information Processing, 2006, v. 4, n. 1, p. 65, doi. 10.1142/S0219691306001099
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- Article
Time accurate fast wavelet‐Taylor Galerkin method for partial differential equations.
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- Numerical Methods for Partial Differential Equations, 2006, v. 22, n. 2, p. 274
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A TIME ACCURATE PSEUDO-WAVELET SCHEME FOR TWO-DIMENSIONAL TURBULENCE.
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- International Journal of Wavelets, Multiresolution & Information Processing, 2005, v. 3, n. 4, p. 587, doi. 10.1142/S0219691305001019
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A WAVELET-TAYLOR GALERKIN METHOD FOR PARABOLIC AND HYPERBOLIC PARTIAL DIFFERENTIAL EQUATIONS.
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- International Journal of Computational Methods, 2005, v. 2, n. 1, p. 75, doi. 10.1142/S0219876205000375
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- Article