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<?xml version="1.0" encoding="UTF-8"?> <!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd"> <html xmlns="http://www.w3.org/1999/xhtml"> <head> <title>KRASNOSELSKII-ZABREIKO FIXED POINT THEOREM FOR IMPLICIT 唯-CAPUTO FRACTIONAL DIFFERENTIAL EQUATIONS UNDER MIXED CONDITIONS | Borisut | Nonlinear Functional Analysis and Applications</title> <meta http-equiv="Content-Type" content="text/html; charset=utf-8" /> <meta name="description" content="KRASNOSELSKII-ZABREIKO FIXED POINT THEOREM FOR IMPLICIT 唯-CAPUTO FRACTIONAL DIFFERENTIAL EQUATIONS UNDER MIXED CONDITIONS" /> <link rel="schema.DC" href="http://purl.org/dc/elements/1.1/" /> <meta name="DC.Contributor.Sponsor" xml:lang="en" content=""/> <meta name="DC.Creator.PersonalName" content="Piyachat Borisut"/> <meta name="DC.Creator.PersonalName" content="Kamonrat Sombut"/> <meta name="DC.Creator.PersonalName" content="Konrawut Khammahawong"/> <meta name="DC.Date.created" scheme="ISO8601" content="2025-02-25"/> <meta name="DC.Date.dateSubmitted" scheme="ISO8601" content="2025-02-25"/> <meta name="DC.Date.issued" scheme="ISO8601" content="2025-02-25"/> <meta name="DC.Date.modified" scheme="ISO8601" content="2025-02-25"/> <meta name="DC.Description" xml:lang="en" content=" This paper delves into the exploration of the existence, uniqueness, and stability of solutions for 唯-Caputo fractional dierential equations subjected to mixed boundary conditions. By utilizing the Krasnoselskii-Zabreiko fixed point theorem and the Banach contraction principle, we establish the uniqueness of solutions. Furthermore, we derive the conditions for generalized Ulam-Hyers stability. Additionally, an example is included to illustrate the practical application of our findings. 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<br /> <div><p>This paper delves into the exploration of the existence, uniqueness, and stability of solutions for 唯-Caputo fractional dierential equations subjected to mixed boundary conditions. By utilizing the Krasnoselskii-Zabreiko fixed point theorem and the Banach contraction principle, we establish the uniqueness of solutions. Furthermore, we derive the conditions for generalized Ulam-Hyers stability. Additionally, an example is included to illustrate the practical application of our findings.</p></div> <br /> </div> Full Text: <a href="http://nfaa.kyungnam.ac.kr/journal-nfaa/index.php/NFAA/article/view/2071/1409" class="file" target="_parent">PDF</a> <div class="separator"></div> <h3>Refbacks</h3> <ul class="plain"> <li>There are currently no refbacks.</li> </ul> <br /><br /> <p><strong style="color: #2e2efe; font-size: 10pt;">ISSN: 1229-1595 (Print), 2466-0973 (Online)</strong></p><p><strong style="color: #2e2efe; font-size: 9pt;"><span>(51767) 7 Kyungnamdaehak-ro, Masanhappo-gu, Changwon-si, Gyeongsangnam-do, Republic of Korea</span><br /></strong></p><p>聽</p> </div> </div> </div> </div>  </body> </html>