Successive iterations and positive extremal solutions for a Hadamard type fractional integro-differential equations on infinite domain

Ke Pei, Guotao Wang and Yanyan Sun

Applied Mathematics and Computation, 2017, vol. 312, issue C, 158-168

Abstract: A Hadamard type fractional integro-differential equation on infinite intervals is considered. By using monotone iterative technique, we not only get the existence of positive solutions, but also seek the positive minimal and maximal solutions and get two explicit monotone iterative sequences which converge to the extremal solutions. At last, to illustrative the main result, an example is also discussed.

Keywords: Nonlinear term depending on lower order derivative; Hadamard derivative; Monotone iterative; Infinite interval (search for similar items in EconPapers)
Date: 2017
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (5)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0096300317303685
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:312:y:2017:i:c:p:158-168

DOI: 10.1016/j.amc.2017.05.056

Access Statistics for this article

Applied Mathematics and Computation is currently edited by Theodore Simos

More articles in Applied Mathematics and Computation from Elsevier
Bibliographic data for series maintained by Catherine Liu ().