
T (+98) 23 352 20220
Email: international@du.ac.ir
Damghan University
University Blvd, Damghan, IR
Associate Professor of Applied Mathematics
DOI: 10.1080/00207160.2017.1343472
AUTHOR KEYWORDS: 65K10; 90C30; Distributed optimal control; finite elements method; implicit function theorem; nonmonotone Barzilai–Borwein method; viscous Burgers equation
INDEX KEYWORDS: Gradient methods; Nonlinear programming; Numerical methods; Optimal control systems; Partial differential equations, Distributed optimal control; Distributed optimal control problems; Guaranteed convergence; Implicit function theorem; Non-linear optimization problems; Nonmonotone; Spectral gradient method; Viscous Burgers equation, Finite element method
PUBLISHER: Taylor and Francis Ltd.
DOI: 10.1142/S0129183118500791
AUTHOR KEYWORDS: heat transfer; laminar channel flow; lattice Boltzmann method; nanofluid; Sinusoidal obstacle
PUBLISHER: World Scientific Publishing Co. Pte Ltd
DOI: 10.1007/s40314-016-0399-4
AUTHOR KEYWORDS: Fuzzy Hamiltonian function; Fuzzy Pontryagin maximum principle; Fuzzy variational problems
PUBLISHER: Springer Science and Business Media, LLC
DOI: 10.1007/s13370-017-0524-6
AUTHOR KEYWORDS: Fuzzy conservation law; Fuzzy Euler–Lagrange conditions; Fuzzy Noether’s theorem
PUBLISHER: Springer Verlag
DOI: 10.3934/dcdss.2018004
AUTHOR KEYWORDS: Fractional calculus; Fuzzy control systems; Fuzzy fractional Hamiltonian function; Fuzzy optimal control; Pontryagin maximum principle
PUBLISHER: American Institute of Mathematical Sciences
DOI: 10.1504/IJSCC.2018.093397
AUTHOR KEYWORDS: Interval number; Interval optimal control problem; Interval-valued function; Necessary condition; Sufficient condition
PUBLISHER: Inderscience Publishers
DOI: 10.1016/j.fss.2018.04.007
AUTHOR KEYWORDS: Fuzzy derivative and integral; Fuzzy fundamental theorem of calculus; Fuzzy Taylor formula; Zadeh's extension
INDEX KEYWORDS: Fuzzy set theory, Fundamental theorem of calculus; Fuzzy derivatives; Fuzzy function; Integral operators; Taylor expansions; Taylor formula; Zadeh's extension; Zadeh's extension principles, Calculations
PUBLISHER: Elsevier B.V.
DOI: 10.1007/s10092-017-0226-3
AUTHOR KEYWORDS: Global convergence; Nonmonotone line search; Nonmonotonicity degree; Unconstrained optimization
PUBLISHER: Springer-Verlag Italia s.r.l.
DOI: 10.1186/s13662-017-1296-x
AUTHOR KEYWORDS: Banach’s fixed point theorem; metric space; second order fuzzy dynamic equations; time scales
PUBLISHER: Springer International Publishing
DOI: 10.1007/s13370-016-0451-y
AUTHOR KEYWORDS: Barzilai–Borwein gradient method; Generalized Hukuhara differentiability; Nonmonotone line search; Truss; Unconstrained fuzzy optimization
PUBLISHER: Springer Verlag
DOI: 10.1080/02331934.2017.1287702
AUTHOR KEYWORDS: Barzilai–Borwein gradient method; global convergence; nonmonotone line search; Unconstrained optimization
PUBLISHER: Taylor and Francis Ltd.
DOI: 10.1155/2017/9317924
PUBLISHER: Hindawi Limited
DOI: 10.1109/IranianCEE.2016.7585727
AUTHOR KEYWORDS: Active contour; Segmentation; STIR MRI
INDEX KEYWORDS: Bone; Magnetic resonance imaging, Active contour method; Active contours; Active contours model; Edge information; Inhomogeneities; Local structure; STIR-sequence; Subcutaneous fat, Image segmentation
PUBLISHER: Institute of Electrical and Electronics Engineers Inc.
DOI: 10.1007/s40815-016-0165-1
AUTHOR KEYWORDS: Fuzzy matrix; Fuzzy optimization; Fuzzy-valued convex function
INDEX KEYWORDS: Functions; Optimal systems; Optimization; Variational techniques, Convex functions; Elliptic obstacle problem; Fuzzy matrix; Fuzzy optimization; Multi-objective programming problem; Parametric representations; Unconstrained optimization problems; Variational inequalities, Multiobjective optimization
PUBLISHER: Springer Berlin Heidelberg
DOI: 10.2298/AADM160311004F
AUTHOR KEYWORDS: Fuzzy dynamical systems; Fuzzy hybrid systems; Practical stability; Time scales
PUBLISHER: University of Belgrade
DOI: 10.1109/CFIS.2015.7391703
INDEX KEYWORDS: Intelligent systems, Euler-Lagrange; Fractional derivatives; Necessary optimality condition; New results; Riemann-liouville h-differentiability; Riemann-Liouville sense; Variational problems, Variational techniques
PUBLISHER: Institute of Electrical and Electronics Engineers Inc.
AUTHOR KEYWORDS: Fuzzy fractional euler–Lagrange equations; Fuzzy fractional holonomic problem; Fuzzy fractional variational problem
PUBLISHER: Udruga Matematicara Osijek
AUTHOR KEYWORDS: Fuzzy nonparametric regression; Fuzzy regression; Local linear smoothing; Tikhonov regularization
PUBLISHER: Institute of Advanced Scientific Research, Inc.
DOI: 10.1016/j.cam.2014.03.019
AUTHOR KEYWORDS: Caputo-type fuzzy fractional derivative; Euler-Lagrange equations; Isoperimetric problem
INDEX KEYWORDS: Equations of motion, Differentiability; Euler-Lagrange; Euler-Lagrange equations; Fractional calculus; Fractional derivatives; Fractional euler-lagrange equations; Isoperimetric problem; Variational problems, Variational techniques
PUBLISHER: Elsevier
DOI: 10.1016/j.ins.2013.07.028
DOI: 10.1007/s00500-014-1252-6
AUTHOR KEYWORDS: Fuzzy Henstock–Kurzweil delta integral; Fuzzy-number-valued functions; Hukuhara–Hilger derivative; Time scale
INDEX KEYWORDS: Calculations; Fuzzy rules; Fuzzy set theory; Fuzzy sets; Time measurement, Delta integrals; Fundamental properties; Fuzzy function; Fuzzy-number-valued functions; Time-scales, Integral equations
PUBLISHER: Springer Verlag
DOI: 10.1590/S1807-03022012000200006
AUTHOR KEYWORDS: Basis expansion; Fuzzynonlinear regression; Gaussian; MonteCarlo method; Regularization method
AUTHOR KEYWORDS: Fuzzy nonparametric regression; Fuzzy regression; Local linear smoothing; Ridge estimation
DOI: 10.1080/00207160.2012.705279
AUTHOR KEYWORDS: Approximation; Discretization; Evolutionary algorithm; Fredholm integral equation; Iterative method; Optimal control
INDEX KEYWORDS: Approximate solution; Approximation; Discretizations; Fredholm integral equations; Iterative schemes; Nonlinear Fredholm integral equation; Numerical example; Optimal controls, Control; Evolutionary algorithms; Integral equations; Numerical methods, Iterative methods
AUTHOR KEYWORDS: a-Differentiability; Fuzzy Euler-Lagrange condition; Fuzzy variational problem
AUTHOR KEYWORDS: Boundary value problems; Fuzzy differential equations; Fuzzy numbers
DOI: 10.4028/www.scientific.net/AMM.110-116.4284
AUTHOR KEYWORDS: Approximate- Analytical solution; Fredholm integral equations; Iterative methods; Numerical scheme; Optimal control problem
INDEX KEYWORDS: Analytical solutions; Fredholm integral equations; Hybrid algorithms; Numerical example; Numerical scheme; Optimal control problem; Parametrizations; Taylor expansions, Aerospace engineering; Algorithms; Control; Iterative methods; Optimal control systems; Optimization, Integral equations
AUTHOR KEYWORDS: Approximation; Nonlinear least square problem; Optimal control; Penalty method
DOI: 10.1016/j.ins.2011.06.007
AUTHOR KEYWORDS: Approximate-analytical solution; System of first-order linear FDEs; Variational iteration method
INDEX KEYWORDS: Approximate-analytical solution; Constant coefficients; Eigen-value; Exact solution; First-order; Fuzzy differential equations; Numerical experiments; Numerical solution; Variational iteration method, Differential equations; Iterative methods; Linear systems; Numerical methods, Differentiation (calculus)
DOI: 10.1016/j.jksus.2010.07.020
AUTHOR KEYWORDS: Fuzzy differential equations; Fuzzy interpolation; Fuzzy polynomials; Hybrid systems; Nyström method; Seikkala derivative
AUTHOR KEYWORDS: Fuzzy differential equations; Fuzzy numbers; Modified k-step method
DOI: 10.1016/j.jksus.2010.07.012
AUTHOR KEYWORDS: Fuzzy Approximation; Fuzzy Linear Programming; Fuzzy numbers; Fuzzy polynomials; Runge's Phenomenon
AUTHOR KEYWORDS: Generalized differentiability; Local variational iteration method; Nonlinear fuzzy differential equation
AUTHOR KEYWORDS: Approx- imation; Homotopy perturbation; Numerical method; Optimal control prblem; Volterra integral equation
AUTHOR KEYWORDS: Approximate-analytical solution; Fredholm integral equations; Iterative methods; Numerical scheme; Optimal control problem
AUTHOR KEYWORDS: Fuzzy integral equation; Successive approximation method; System of linear Fredholm integral equations of the second kind; Taylor-successive approximation method
DOI: 10.1016/j.cam.2009.06.038
AUTHOR KEYWORDS: Approximation; Discretization; Iterative methods; Nonlinear Fredholm integral equations
INDEX KEYWORDS: Approximate solution; Approximation; Discretization; Exact solution; Iterative approach; Nonlinear Fredholm integral equation; Nonlinear Fredholm integral equations; Numerical scheme, Integral equations; Iterative methods, Nonlinear equations
DOI: 10.1016/j.amc.2007.12.041
AUTHOR KEYWORDS: Linear Volterra integral equations system; Numerical method; Power series method
INDEX KEYWORDS: Integral equations; Linear equations; Numerical methods; Polynomials, Linear Volterra integral equations system; Power series method, Linear systems
DOI: 10.1007/BF02936557
AUTHOR KEYWORDS: Approximation theory; BSDE; LQ control; Nonlinearity; Stochastic control; Stochastic Riccati equation
PUBLISHER: Journal of Applied Mathemathics