Approximate solution of linear and nonlinear fractional differential equations under \(m\)-point local and nonlocal boundary conditions
type: Item
instance of: scholarly article
title: Approximate solution of linear and nonlinear fractional differential equations under \(m\)-point local and nonlocal boundary conditions
zbMATH Open document ID: 1419.34087
author: Hammad Khalil
author: Rahmat Ali Khan
author: D. Baleanu
author: S. H. Saker
published in: Advances in Difference Equations
publication date: 2018-11-29T00:00:00Z
Mathematics Subject Classification ID: 34B10
Mathematics Subject Classification ID: 34A08
zbMATH DE Number: 6986840
zbMATH Keywords: Bernstein polynomials
zbMATH Keywords: operational matrices
zbMATH Keywords: \(m\)-point boundary conditions
zbMATH Keywords: fractional differential equations
MaRDI profile type: Publication
full work available at URL: s13662-016-0910-7
OpenAlex ID: W2468142134
Wikidata QID: Q59462288
cites work: Q3006513
cites work: Q5699297
cites work: Finite-time stability analysis of fractional order time-delay systems: Gronwall's approach
cites work: Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
cites work: Advances in Fractional Calculus
cites work: Q5302855
cites work: Solvability of a three-point nonlinear boundary value problem for a second order ordinary differential equation
cites work: Q5505262
cites work: Existence of positive solutions for a fourth-order three-point boundary value problem
cites work: Q4585407
cites work: Q4039908
cites work: A Jacobi-Gauss collocation method for solving nonlinear Lane-Emden type equations
cites work: Q4023645
cites work: Efficient Chebyshev spectral methods for solving multi-term fractional orders differential equations
cites work: A quadrature tau method for fractional differential equations with variable coefficients
cites work: A new operational matrix for solving fractional-order differential equations
cites work: A Chebyshev spectral method based on operational matrix for initial and boundary value problems of fractional order
cites work: An extension of the spectral tau method for numerical solution of multi-order fractional differential equations with convergence analysis
cites work: Tau approximate solution of fractional partial differential equations
cites work: A pseudo-spectral scheme for the approximate solution of a family of fractional differential equations
cites work: On the convergence of spline collocation methods for solving fractional differential equations
cites work: A shifted Legendre spectral method for fractional-order multi-point boundary value problems
cites work: The use of Jacobi polynomials in the numerical solution of coupled system of fractional differential equations
cites work: A new method based on Legendre polynomials for solutions of the fractional two-dimensional heat conduction equation
cites work: New operational matrix of integrations and coupled system of Fredholm integral equations
cites work: A new method based on legendre polynomials for solution of system of fractional order partial differential equations
cites work: Approximation of solution of time fractional order three-dimensional heat conduction problems with Jacobi polynomials
cites work: Some new operational matrices and its application to fractional order Poisson equations with integral type boundary constrains
cites work: A method based on the Jacobi tau approximation for solving multi-term time-space fractional partial differential equations
cites work: Numerical simulation for two-dimensional variable-order fractional nonlinear cable equation
cites work: A space-time Legendre spectral tau method for the two-sided space-time Caputo fractional diffusion-wave equation
cites work: A fractional-order Jacobi tau method for a class of time-fractional PDEs with variable coefficients
cites work: A numerical method for solving boundary value problems for fractional differential equations
cites work: The Legendre wavelet method for solving fractional differential equations
cites work: Numerical solution of the heat equation with nonlocal boundary conditions
cites work: A method of solution for the one-dimensional heat equation subject to nonlocal conditions
cites work: The one-dimensional heat equation subject to a boundary integral specification
cites work: Explictt two-level finite-difference methods for the two-dimensional diffusion equation
cites work: Q3087370
cites work: Optimization, conditioning and accuracy of radial basis function method for partial differential equations with nonlocal boundary conditions -- a case of two-dimensional Poisson equation
cites work: Operational matrices of Bernstein polynomials and their applications
cites work: On the derivatives of Bernstein polynomials: an application for the solution of high even-order differential equations
cites work: Integrals of Bernstein polynomials: an application for the solution of high even-order differential equations
cites work: The dual basis functions for the Bernstein polynomials
cites work: Legendre-Bernstein basis transformations
cites work: On the stability of polynomial transformations between Taylor, Bernstein and Hermite forms
cites work: Numerical solution of fractional partial differential equations with variable coefficients using generalized fractional-order Legendre functions
cites work: Q5585020
cites work: Q5514046
cites work: Quasilinearization and invariant imbedding. With applications to chemical engineering and adaptive control
cites work: Iterative methods for a fourth order boundary value problem
cites work: Bernstein collocation method for solving nonlinear differential equations
cites work: Modified quasilinearization technique for the solution of boundary-value problems for ordinary differential equations
cites work: Quasilinearization approach to nonlinear problems in physics with application to nonlinear ODEs
DOI: 10.1186/S13662-016-0910-7
Recommended article: Toward the approximate solution for fractional order nonlinear mixed derivative and nonlocal boundary value problems
Recommended article: Approximate analytical solutions of nonlocal fractional boundary value problems
Recommended article: Q5091600
Recommended article: A new approach to approximate solutions for a class of nonlinear multi-term fractional differential equations with integral boundary conditions

Approximate solution of linear and nonlinear fractional differential equations under \(m\)-point local and nonlocal boundary conditions (Recommended article)
Recommended article: Q3384960
Similarity Score: 0.9282666
Recommender Run: Recommender Run 2

Approximate solution of linear and nonlinear fractional differential equations under \(m\)-point local and nonlocal boundary conditions (Recommended article)
Recommended article: Approximate solutions of nonlinear fractional equations
Similarity Score: 0.922243
Recommender Run: Recommender Run 2

Approximate solution of linear and nonlinear fractional differential equations under \(m\)-point local and nonlocal boundary conditions (Recommended article)
Recommended article: Approximate solutions for non-linear iterative fractional differential equations
Similarity Score: 0.92167616
Recommender Run: Recommender Run 2

Approximate solution of linear and nonlinear fractional differential equations under \(m\)-point local and nonlocal boundary conditions (Recommended article)
Recommended article: APPROXIMATIONS OF SOLUTIONS FOR A NONLOCAL FRACTIONAL INTEGRO-DIFFERENTIAL EQUATION WITH DEVIATED ARGUMENT
Similarity Score: 0.9216237
Recommender Run: Recommender Run 2

Approximate solution of linear and nonlinear fractional differential equations under \(m\)-point local and nonlocal boundary conditions (Recommended article)
Recommended article: Q5079656
Similarity Score: 0.9209557
Recommender Run: Recommender Run 2

Approximate solution of linear and nonlinear fractional differential equations under \(m\)-point local and nonlocal boundary conditions (Recommended article)
Recommended article: Nonlinear fractional differential equations with $m$-point integral boundary conditions
Similarity Score: 0.92030555
Recommender Run: Recommender Run 2