Description

• Title:
  On the $S$-asymptotically $\omega$-periodic mild solutions for multi-term time fractional measure differential equations
• Creator:
  Gou, Haide
• Description:
  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.
• Object availability:
  free access
• Rights: https://creativecommons.org/licenses/by-nd/4.0 ;
  Prawa autorskie (c) 2023 Haide Gou
• Date:
  2023.12.31
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 62, No 2 (December 2023); 569 - 590;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/47714/37290 ;https://apcz.umk.pl/TMNA/article/view/47714/37291
• Subject:
  Regulated functions;
  Henstock-Lebesgue-Stieltjes integral;
  fractional calculus;
  semigroup theory;
  multi-term time-fractional;
  fixed point theory;
  Primary: 26A33, 34G20, 34K37, 39A99, 46G99
• Identifier: https://apcz.umk.pl/TMNA/article/view/47714
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other