The exact iterative solution of fractional differential equation with nonlocal boundary value conditions
type: Item
instance of: scholarly article
title: The exact iterative solution of fractional differential equation with nonlocal boundary value conditions
zbMATH Open document ID: 1398.34021
DOI: 10.1155/2018/8346398
author: Jinxiu Mao
author: Zengqin Zhao
author: Chenguang Wang
published in: Journal of Function Spaces
publication date: 2018-09-06T00:00:00Z
review text: Summary: We deal with a singular nonlocal fractional differential equation with Riemann-Stieltjes integral conditions. The exact iterative solution is established under the iterative technique. The iterative sequences have been proved to converge uniformly to the exact solution, and estimation of the approximation error and the convergence rate have been derived. An example is also given to demonstrate the results.
Mathematics Subject Classification ID: 34A08
Mathematics Subject Classification ID: 34B10
Mathematics Subject Classification ID: 34A45
Mathematics Subject Classification ID: 34B16
zbMATH DE Number: 6933360
zbMATH Keywords: singular nonlocal fractional differential equation
zbMATH Keywords: Riemann-Stieltjes integral conditions
zbMATH Keywords: iterative technique
Wikidata QID: Q115243933
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2018/8346398
OpenAlex ID: W2886499617
cites work: Q4233638
cites work: Q3141902
cites work: Q5699297
cites work: The spectral analysis for a singular fractional differential equation with a signed measure
cites work: Positive solution for singular fractional differential equations involving derivatives
cites work: On a sign-changing solution for some fractional differential equations
cites work: On the existence of positive solutions and negative solutions of singular fractional differential equations via global bifurcation techniques
cites work: On the existence of solutions for impulsive fractional differential equations
cites work: Existence and multiplicity of nontrivial solutions for a class of semilinear fractional Schrödinger equations
cites work: Variational structure and multiple solutions for a fractional advection-dispersion equation
cites work: Nontrivial solutions for a fractional advection dispersion equation in anomalous diffusion
cites work: Existence and uniqueness of solutions to a fractional difference equation with nonlocal conditions
cites work: Positive solutions of nonlocal boundary value problems involving integral conditions
cites work: The existence and uniqueness of positive solutions for integral boundary value problems
cites work: On existence and uniqueness of positive solutions for integral boundary boundary value problems
cites work: POSITIVE SOLUTIONS OF NONLOCAL BOUNDARY VALUE PROBLEMS: A UNIFIED APPROACH
cites work: Some nonlocal elliptic problem involving positive parameter
cites work: Positive solutions for a class of fractional 3-point boundary value problems at resonance
cites work: Iterative technique for third-order differential equation with three-point nonlinear boundary value conditions
cites work: Existence and uniqueness of solutions for multi-point boundary value problems for fractional differential equations
cites work: Uniqueness of solution for boundary value problems for fractional differential equations
description: scientific article; zbMATH DE number 6933360