PulseExploreJournal ClubDebatesTrendingResearchersJournals
Instagram
HomeExploreJournal ClubTrending
Synapse
⌘+K
Synapse
February 28, 2026Fractal and FractionalOpen Access

Rational (a,p)-Quasicontractions and Fractional Delayed Nonlocal Caputo Problems via Hammerstein Operators

View Full Paper
Ask AI
Bookmark
Share

Authors

MÖMahpeyker Öztürk

Discussion

Loading...

Member takes

Overview

Establishes fixed points in Banach spaces using rational quasicontractions, indicating new solutions for nonlinear boundary value problems.

Key Points

  • This research aims to introduce rational (a,p)−quasicontractions and explore their implications in fixed-point theory and Caputo fractional problems.
  • Introduced a new class of nonlinear operators called rational (a,p)−quasicontractions.
  • Established Greguš-type fixed-point theorems for closed convex subsets of Banach spaces.
  • Transformed a Caputo fractional differential equation with delay into a Hammerstein integral equation.
  • Applied natural growth and rational Lipschitz conditions to analyze the nonlocal problems.
  • Demonstrated the existence and uniqueness of fixed points for rational (a,p)−quasicontractions.
  • Validated convergence of the Picard iteration for initial guesses in the context of these operators.
  • Showed global attractivity of positive solutions for the associated boundary value problem.

Cite This Study

Mahpeyker Öztürk (2026) studied this question.

synapsesocial.com/papers/69a287460a974eb0d3c02ce7https://doi.org/10.3390/fractalfract10030148
View Full Paper
Ask AI
Bookmark
Share