Keyword Index

A

  • Adjustment of hat basis functions Numerical method for solving optimal control problem of the linear differential systems with inequality constraints [Volume 4, Issue 3, 2016, Pages 230-248]
  • Analytical solution Solutions structure of integrable families of Riccati equations and their applications to the perturbed nonlinear fractional Schrodinger equation [Volume 4, Issue 4, 2016, Pages 261-275]
  • Asymptotically stable On asymptotic stability of Prabhakar fractional differential systems [Volume 4, Issue 4, 2016, Pages 276-284]

B

  • Backward differentiation formula A hybrid method with optimal stability properties for the numerical solution of stiff differential systems [Volume 4, Issue 3, 2016, Pages 217-229]
  • Bifurcation Stability analysis of a fractional order prey-predator system with nonmonotonic functional response [Volume 4, Issue 2, 2016, Pages 151-161]
  • Biorthogonal cubic Hermite spline multiwavelets Biorthogonal cubic Hermite spline multiwavelets on the interval for solving the fractional optimal control problems [Volume 4, Issue 2, 2016, Pages 99-115]
  • Boundary value problem Existence of positive solution to a class of boundary value problems of fractional differential equations [Volume 4, Issue 1, 2016, Pages 19-29]
  • Boundary value problem Numerical solution of variational problems via Haar wavelet quasilinearization technique [Volume 4, Issue 3, 2016, Pages 249-260]

C

  • Calculus of variation Numerical solution of variational problems via Haar wavelet quasilinearization technique [Volume 4, Issue 3, 2016, Pages 249-260]
  • Caputo fractional derivative Biorthogonal cubic Hermite spline multiwavelets on the interval for solving the fractional optimal control problems [Volume 4, Issue 2, 2016, Pages 99-115]
  • Classical fixed point theorem Existence of positive solution to a class of boundary value problems of fractional differential equations [Volume 4, Issue 1, 2016, Pages 19-29]
  • Collocation method Application of linear combination between cubic B-spline collocation methods with different basis for solving the KdV equation [Volume 4, Issue 3, 2016, Pages 191-204]
  • Convergence analysis An approach based on statistical spline model for Volterra-Fredholm integral equations [Volume 4, Issue 1, 2016, Pages 30-42]
  • Convergence and superconvergence Superconvergence analysis of multistep collocation method for delay functional integral equations [Volume 4, Issue 3, 2016, Pages 205-216]

D

  • Delay integral equations Superconvergence analysis of multistep collocation method for delay functional integral equations [Volume 4, Issue 3, 2016, Pages 205-216]
  • Differential systems Numerical method for solving optimal control problem of the linear differential systems with inequality constraints [Volume 4, Issue 3, 2016, Pages 230-248]
  • Dirichlet and Neumann boundary Conditions An efficient approximate method for solution of the heat equation using Laguerre-Gaussians radial functions [Volume 4, Issue 4, 2016, Pages 323-334]
  • DTM-Padé Analytical solution of MHD flow and heat transfer over a permeable nonlinearly stretching sheet in a porous medium filled by a nanofluid [Volume 4, Issue 1, 2016, Pages 70-98]
  • Dynamical behavior Stability analysis of a fractional order prey-predator system with nonmonotonic functional response [Volume 4, Issue 2, 2016, Pages 151-161]

E

  • Error analysis Solving multi-order fractional differential equations by reproducing kernel Hilbert space method [Volume 4, Issue 3, 2016, Pages 170-190]
  • Error analysis Numerical method for solving optimal control problem of the linear differential systems with inequality constraints [Volume 4, Issue 3, 2016, Pages 230-248]
  • Existence and uniqueness results Existence of positive solution to a class of boundary value problems of fractional differential equations [Volume 4, Issue 1, 2016, Pages 19-29]

F

  • Fisher equation The comparison of optimal homotopy asymptotic method and homotopy perturbation method to solve Fisher equation [Volume 4, Issue 1, 2016, Pages 43-53]
  • Fractional differential differential equations Existence of positive solution to a class of boundary value problems of fractional differential equations [Volume 4, Issue 1, 2016, Pages 19-29]
  • Fractional order optimal control Biorthogonal cubic Hermite spline multiwavelets on the interval for solving the fractional optimal control problems [Volume 4, Issue 2, 2016, Pages 99-115]
  • Fractional Prey-predator model Stability analysis of a fractional order prey-predator system with nonmonotonic functional response [Volume 4, Issue 2, 2016, Pages 151-161]

G

  • Galerkin method Numerical solution of linear control systems using interpolation scaling functions [Volume 4, Issue 2, 2016, Pages 139-150]
  • Generalized Mittag-Leffer function On asymptotic stability of Prabhakar fractional differential systems [Volume 4, Issue 4, 2016, Pages 276-284]
  • General linear methods A hybrid method with optimal stability properties for the numerical solution of stiff differential systems [Volume 4, Issue 3, 2016, Pages 217-229]

H

  • Haar wavelet Numerical solution of variational problems via Haar wavelet quasilinearization technique [Volume 4, Issue 3, 2016, Pages 249-260]
  • Heat conduction An efficient approximate method for solution of the heat equation using Laguerre-Gaussians radial functions [Volume 4, Issue 4, 2016, Pages 323-334]
  • Hilbert space Solving multi-order fractional differential equations by reproducing kernel Hilbert space method [Volume 4, Issue 3, 2016, Pages 170-190]
  • Homotopy perturbation method The comparison of optimal homotopy asymptotic method and homotopy perturbation method to solve Fisher equation [Volume 4, Issue 1, 2016, Pages 43-53]
  • Hopf Bifurcation Threshold harvesting policy and delayed ratio-dependent functional response predator-prey model [Volume 4, Issue 1, 2016, Pages 1-18]

I

  • Inequality constraint Numerical method for solving optimal control problem of the linear differential systems with inequality constraints [Volume 4, Issue 3, 2016, Pages 230-248]
  • Interpolating scaling functions Numerical solution of linear control systems using interpolation scaling functions [Volume 4, Issue 2, 2016, Pages 139-150]

K

  • KdV equation Application of linear combination between cubic B-spline collocation methods with different basis for solving the KdV equation [Volume 4, Issue 3, 2016, Pages 191-204]

L

  • Legendre collocation method Application of high-order spectral method for the time fractional mobile/immobile equation [Volume 4, Issue 4, 2016, Pages 309-322]
  • Limit cycle Stability analysis of a fractional order prey-predator system with nonmonotonic functional response [Volume 4, Issue 2, 2016, Pages 151-161]
  • Linear control systems Numerical solution of linear control systems using interpolation scaling functions [Volume 4, Issue 2, 2016, Pages 139-150]

M

  • MHD Analytical solution of MHD flow and heat transfer over a permeable nonlinearly stretching sheet in a porous medium filled by a nanofluid [Volume 4, Issue 1, 2016, Pages 70-98]
  • Multi-Order Fractional Solving multi-order fractional differential equations by reproducing kernel Hilbert space method [Volume 4, Issue 3, 2016, Pages 170-190]
  • Multistep collocation method Superconvergence analysis of multistep collocation method for delay functional integral equations [Volume 4, Issue 3, 2016, Pages 205-216]

N

  • Nanofluid Analytical solution of MHD flow and heat transfer over a permeable nonlinearly stretching sheet in a porous medium filled by a nanofluid [Volume 4, Issue 1, 2016, Pages 70-98]
  • Numerical analysis Numerical solution of optimal control problems by using a new second kind Chebyshev wavelet [Volume 4, Issue 2, 2016, Pages 162-169]

O

  • Operational matrix Numerical solution of linear control systems using interpolation scaling functions [Volume 4, Issue 2, 2016, Pages 139-150]
  • Optimal control Numerical method for solving optimal control problem of the linear differential systems with inequality constraints [Volume 4, Issue 3, 2016, Pages 230-248]
  • Optimal Control Problems Numerical solution of optimal control problems by using a new second kind Chebyshev wavelet [Volume 4, Issue 2, 2016, Pages 162-169]
  • Optimal Homotopy Asymptotic method The comparison of optimal homotopy asymptotic method and homotopy perturbation method to solve Fisher equation [Volume 4, Issue 1, 2016, Pages 43-53]

P

  • Porous medium Analytical solution of MHD flow and heat transfer over a permeable nonlinearly stretching sheet in a porous medium filled by a nanofluid [Volume 4, Issue 1, 2016, Pages 70-98]
  • Positive solution‎, ‎Fixed point theorem Positive solutions for discrete fractional initial value problem [Volume 4, Issue 4, 2016, Pages 285-297]
  • Prabhakar fractional derivative On asymptotic stability of Prabhakar fractional differential systems [Volume 4, Issue 4, 2016, Pages 276-284]
  • Predator-prey model Threshold harvesting policy and delayed ratio-dependent functional response predator-prey model [Volume 4, Issue 1, 2016, Pages 1-18]
  • Prescribed temperature Analytical solution of MHD flow and heat transfer over a permeable nonlinearly stretching sheet in a porous medium filled by a nanofluid [Volume 4, Issue 1, 2016, Pages 70-98]

Q

  • Quasilinearization Numerical solution of variational problems via Haar wavelet quasilinearization technique [Volume 4, Issue 3, 2016, Pages 249-260]

R

  • Radial basis functions An efficient approximate method for solution of the heat equation using Laguerre-Gaussians radial functions [Volume 4, Issue 4, 2016, Pages 323-334]
  • RBF collocation A numerical treatment of a reaction-diffusion model of spatial pattern in the embryo [Volume 4, Issue 2, 2016, Pages 116-127]
  • Reaction-diffusion A numerical treatment of a reaction-diffusion model of spatial pattern in the embryo [Volume 4, Issue 2, 2016, Pages 116-127]
  • Reproducing kernel method Solving multi-order fractional differential equations by reproducing kernel Hilbert space method [Volume 4, Issue 3, 2016, Pages 170-190]
  • Riccati equations Solutions structure of integrable families of Riccati equations and their applications to the perturbed nonlinear fractional Schrodinger equation [Volume 4, Issue 4, 2016, Pages 261-275]
  • Riemann-Liouville fractional derivative On asymptotic stability of Prabhakar fractional differential systems [Volume 4, Issue 4, 2016, Pages 276-284]
  • Riesz space fractional derivatives On the split-step method for the solution of nonlinear Schr"{o}dinger equation with the Riesz space fractional derivative [Volume 4, Issue 1, 2016, Pages 54-69]

S

  • Schr"{o}dinger equation On the split-step method for the solution of nonlinear Schr"{o}dinger equation with the Riesz space fractional derivative [Volume 4, Issue 1, 2016, Pages 54-69]
  • Second Kind Chebyshev Wavelet Numerical solution of optimal control problems by using a new second kind Chebyshev wavelet [Volume 4, Issue 2, 2016, Pages 162-169]
  • Stability of equilibrium Stability analysis of a fractional order prey-predator system with nonmonotonic functional response [Volume 4, Issue 2, 2016, Pages 151-161]

T

U

  • Unconditional stability On the split-step method for the solution of nonlinear Schr"{o}dinger equation with the Riesz space fractional derivative [Volume 4, Issue 1, 2016, Pages 54-69]

V

  • Variable stepsize implementation A hybrid method with optimal stability properties for the numerical solution of stiff differential systems [Volume 4, Issue 3, 2016, Pages 217-229]
  • Volterra-Fredholm integral equations An approach based on statistical spline model for Volterra-Fredholm integral equations [Volume 4, Issue 1, 2016, Pages 30-42]

W

  • Wave equation‎ Polynomial and non-polynomial solutions set for wave equation with using Lie point symmetries [Volume 4, Issue 4, 2016, Pages 298-308]