A New Proof of the Existence of Nonzero Weak Solutions of Impulsive Fractional Boundary Value Problems

Asma Alharbi, Rafik Guefaifia and Salah Boulaaras
Additional contact information
Asma Alharbi: Department of Mathematics, College of Sciences and Arts, ArRass, Qassim University, Buraidah 51452, Saudi Arabia
Rafik Guefaifia: Department of Mathematics, Faculty of Exact Sciences, University Tebessa 12002, Tebessa 12002, Algeria
Salah Boulaaras: Department of Mathematics, College of Sciences and Arts, ArRass, Qassim University, Buraidah 51452, Saudi Arabia

Mathematics, 2020, vol. 8, issue 5, 1-16

Abstract: The paper deals with the existence of at least two non zero weak solutions to a new class of impulsive fractional boundary value problems via Brezis and Nirenberg’s Linking Theorem. Finally, an example is presented to illustrate our results.

Keywords: weak solutions; impulsive fractional boundary value problems; Brezis and Nirenberg’s Linking Theorem (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
https://www.mdpi.com/2227-7390/8/5/856/pdf (application/pdf)
https://www.mdpi.com/2227-7390/8/5/856/ (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:8:y:2020:i:5:p:856-:d:362553

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 ().