Impulsive Fractional Differential Inclusions and Almost Periodic Waves

Gani Stamov and Ivanka Stamova
Additional contact information
Gani Stamov: Department of Mathematics, University of Texas at San Antonio, San Antonio, TX 78249, USA
Ivanka Stamova: Department of Mathematics, University of Texas at San Antonio, San Antonio, TX 78249, USA

Mathematics, 2021, vol. 9, issue 12, 1-15

Abstract: In the present paper, the concept of almost periodic waves is introduced to discontinuous impulsive fractional inclusions involving Caputo fractional derivative. New results on the existence and uniqueness are established by using the theory of operator semigroups, Hausdorff measure of noncompactness, fixed point theorems and fractional calculus techniques. Applications to a class of fractional-order impulsive gene regulatory network (GRN) models are proposed to illustrate the results.

Keywords: fractional differential inclusions; impulses; almost periodicity; fixed point; Hausdorff measure of noncompactness (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
https://www.mdpi.com/2227-7390/9/12/1413/pdf (application/pdf)
https://www.mdpi.com/2227-7390/9/12/1413/ (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:9:y:2021:i:12:p:1413-:d:577120

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 ().