PulseExploreJournal ClubDebatesTrendingResearchersJournals
Instagram
HomeExploreJournal ClubTrending
Synapse
⌘+K
Synapse
May 16, 2026Journal of Optimization Theory and Applications0 citationsOpen Access

Fractional Differential Variational-Hemivariational Inequalities

View Full Paper
JSJ. Vanterler da C. SousaGAGabriela L. AraújoZFZakaria. Faiz

Key Points

  • The aim is to investigate the unique solvability and global stability of mild solutions for fractional differential variational-hemivariational inequalities.
  • Utilized fixed point theory and Gronwall inequality in Banach space.
  • Examined the role of semigroup operators.
  • Applied one- and two-parameter Mittag-Leffler functions.
  • Established unique solvability in the context of fractional variational-hemivariational inequalities.
  • Demonstrated Mittag-Leffler global stability for the mild solutions.
  • Provided insights into the applications of fixed point theory and innovative inequalities in mathematical modeling.

Abstract

Abstract In this present work, we will examine the unique solvability and Mittag-Leffler global stability of solution mild for a novel category of fractional differential variational-hemivariational inequalities (FDVHI) through fixed point theory and Gronwall inequality in Banach space. The results discussed involve the theory of semigroup operators and one- and two-parameter Mittag-Leffler functions.

Ask AI
Helpful
Bookmark
Share
View Full Paper

Cite This Study

Sousa et al. (2026) studied this question.

synapsesocial.com/papers/6a0809d7a487c87a6a40bba0https://doi.org/10.1007/s10957-026-03007-0
Ask AI
Helpful
Bookmark
Share
View Full Paper

Also Consider

Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context:

  1. 1Well-Posedness, Optimal Control, and Sensitivity Analysis for a Class of Differential Variational-Hemivariational Inequalities2021 · 118 citations
  2. 2Generalized Penalty and Regularization Method for Differential Variational-Hemivariational Inequalities2021 · 103 citations
  3. 3Analysis of Fractional Differential Equations2002 · 3,186 citations
  4. 4A generalization of a copula-based construction of fuzzy implications2022 · 4 citations
  5. 5Differential variational inequalities2007 · 442 citations