Existence of Mild Solutions for Impulsive Fractional Integro-Differential Inclusions with State-Dependent Delay

Selvaraj Suganya and Mani Mallika Arjunan
Additional contact information
Selvaraj Suganya: Department of Mathematics, C. B. M. College, Kovaipudur, Coimbatore 641 042, Tamil Nadu, India
Mani Mallika Arjunan: Department of Mathematics, C. B. M. College, Kovaipudur, Coimbatore 641 042, Tamil Nadu, India

Mathematics, 2017, vol. 5, issue 1, 1-16

Abstract: In this manuscript, we implement Bohnenblust–Karlin’s fixed point theorem to demonstrate the existence of mild solutions for a class of impulsive fractional integro-differential inclusions (IFIDI) with state-dependent delay (SDD) in Banach spaces. An example is provided to illustrate the obtained abstract results.

Keywords: Fractional order differential equations; impulsive conditions; state-dependent delay (SDD); multivalued map; fixed point theorem; Banach space; semigroup theory (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2017
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
https://www.mdpi.com/2227-7390/5/1/9/pdf (application/pdf)
https://www.mdpi.com/2227-7390/5/1/9/ (text/html)

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:gam:jmathe:v:5:y:2017:i:1:p:9-:d:88738

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().