Existence of Solutions to a System of Fractional q -Difference Boundary Value Problems

Alexandru Tudorache and Rodica Luca ()
Additional contact information
Alexandru Tudorache: Department of Computer Science and Engineering, Gh. Asachi Technical University, 700050 Iasi, Romania
Rodica Luca: Department of Mathematics, Gh. Asachi Technical University, 700506 Iasi, Romania

Mathematics, 2024, vol. 12, issue 9, 1-24

Abstract: We are investigating the existence of solutions to a system of two fractional q -difference equations containing fractional q -integral terms, subject to multi-point boundary conditions that encompass q -derivatives and fractional q -derivatives of different orders. In our main results, we rely on various fixed point theorems, such as the Leray–Schauder nonlinear alternative, the Schaefer fixed point theorem, the Krasnosel’skii fixed point theorem for the sum of two operators, and the Banach contraction mapping principle. Finally, several examples are provided to illustrate our findings.

Keywords: fractional q-difference equations; coupled multi-point boundary conditions; fractional q-integrals; existence; uniqueness (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
https://www.mdpi.com/2227-7390/12/9/1335/pdf (application/pdf)
https://www.mdpi.com/2227-7390/12/9/1335/ (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:12:y:2024:i:9:p:1335-:d:1384552

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 ().