On Fractional Langevin Equations with Stieltjes Integral Conditions

Binlin Zhang (), Rafia Majeed and Mehboob Alam
Additional contact information
Binlin Zhang: College of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao 266590, China
Rafia Majeed: College of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao 266590, China
Mehboob Alam: Faculty of Engineering Sciences, GIK Institute, Topi 23640, Pakistan

Mathematics, 2022, vol. 10, issue 20, 1-16

Abstract: In this paper, we focus on the study of the implicit FDE involving Stieltjes integral boundary conditions. We first exploit some sufficient conditions to guarantee the existence and uniqueness of solutions for the above problems based on the Banach contraction principle and Schaefer’s fixed point theorem. Then, we present different kinds of stability such as UHS , GUHS , UHRS , and GUHRS by employing the classical techniques. In the end, the main results are demonstrated by two examples.

Keywords: Caputo fractional derivative; green function; multi-point integral boundary conditions; Ulam–Hyers stability (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (2)

Downloads: (external link)
https://www.mdpi.com/2227-7390/10/20/3877/pdf (application/pdf)
https://www.mdpi.com/2227-7390/10/20/3877/ (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:10:y:2022:i:20:p:3877-:d:946660

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 ().