Uniqueness of Iterative Positive Solution to Nonlinear Fractional Differential Equations with Negatively Perturbed Term-Reference-Cited by-同舟云学术

Uniqueness of Iterative Positive Solution to Nonlinear Fractional Differential Equations with Negatively Perturbed Term

Published:2020-04-07 Issue: Volume:2020 Page:1-6
ISSN:2314-8896
Container-title:Journal of Function Spaces
language:en
Short-container-title:Journal of Function Spaces

Author:

Tan Jingjing¹^ORCID,Li Meixia¹²^ORCID,Pan Aixia¹

Affiliation:

1. School of Mathematics and Information Science, Weifang University, Weifang, Shandong 261061, China

2. College of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao, Shandong 266590, China

Abstract

We prove that there are unique positive solutions for a new kind of fractional differential equation with a negatively perturbed term boundary value problem. Our methods rely on an iterative algorithm which requires constructing an iterative scheme to approximate the solution. This allows us to calculate the estimation of the convergence rate and the approximation error.

Funder

Doctoral Research Foundation of Weifang University

Publisher

Hindawi Limited

Subject

Analysis

Link

http://downloads.hindawi.com/journals/jfs/2020/5747425.pdf

Reference28 articles.

1. A two-grid characteristic finite volume element method for semilinear advection-dominated diffusion equations

2. Nonlocal fractional order differential equations with changing-sign singular perturbation

3. A sufficient and necessary condition of existence of blow-up radial solutions for a k-Hessian equation with a nonlinear operator

4. A two-grid MMOC finite element method for nonlinear variable-order time-fractional mobile/immobile advection–diffusion equations

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