Opis

• Tytuł:
  On the $S$-asymptotically $\omega$-periodic mild solutions for multi-term time fractional measure differential equations
• Twórca:
  Gou, Haide
• Opis:
  In this paper, based on regulated functions and fixed point theorem, a class of nonlocal problem of multi-term time-fractional measure differential equations involving nonlocal conditions in Banach spaces. Firstly, we introduce the concept of $S$-asymptotically $\omega$-periodic mild solution, on the premise of by utilizing $(\beta,\gamma_k)$-resolvent family and measure functional (Henstock-Lebesgue-Stieltjes integral), the existence of $S$ -asymptotically $\omega$ periodic mild solutions for the mentioned system are obtained. Finally, as the application of abstract results, the existence $S$-asymptotically $\omega$-periodic mild solution for a classes of measure driven differential equation are discussed.
• Dostępność obiektu:
  Dostęp otwarty
• Prawa: https://creativecommons.org/licenses/by-nd/4.0 ;
  Prawa autorskie (c) 2023 Haide Gou
• Data:
  2023.12.31
• Typ:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Język:
  angielski
• Źródło:
  Topological Methods in Nonlinear Analysis; Vol 62, No 2 (December 2023); 569 - 590;
  1230-3429
• Wydawca:
  Nicolaus Copernicus University in Toruń
• Relacja: https://apcz.umk.pl/TMNA/article/view/47714/37290 ;https://apcz.umk.pl/TMNA/article/view/47714/37291
• Temat i słowa kluczowe:
  Regulated functions;
  Henstock-Lebesgue-Stieltjes integral;
  fractional calculus;
  semigroup theory;
  multi-term time-fractional;
  fixed point theory;
  Primary: 26A33, 34G20, 34K37, 39A99, 46G99
• Identyfikator: https://apcz.umk.pl/TMNA/article/view/47714
• Dostawca danych:
  Akademicka Platforma Czasopism
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