Existence results for $\varphi$-Caputo fractional semilinear evolution equations

• Datum: 2026
• Hauptverfasser: Benhadda, Walid, Mfadel, Ali El, Kassidi, Abderrazak, Elomari, M'hamed
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2026
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/9432
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

UDC 517.937, 517.98, 517.23 We study the existence of mild solutions for a new class of nonlocal fractional semilinear integrodifferential evolution equations with a nondensely defined closed linear operator involving the generalized \( \varphi \)-Caputo fractional derivative.  By applying two fixed...