Existence Results for a Class of $\psi$-Hilfer Fractional Hybrid Differential Equations

This study investigates the existence and uniform local attractiveness of solutions for a class of fractional $\psi$-Hilfer hybrid differential equations within Banach algebras. Utilizing advanced hybrid fixed-point theory, we derive results that not only establish conditions for the existence of solutions but also demonstrate their uniform local attractiveness. Our findings offer valuable insights into the behavior of these fractional differential equations and provide a solid theoretical foundation for future research and applications in this field.

Authors

Institutions

Publication Details

Journal
Turkish Journal of Mathematics and Computer Science
Published
2024-12-24
DOI
https://doi.org/10.47000/tjmcs.1491105
Citations
1
Primary Topic
Nonlinear Differential Equations Analysis
Type
article
Field-Weighted Citation Impact
0.97
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
article

Existence Results for a Class of $\psi$-Hilfer Fractional Hybrid Differential Equations

Khalid Hilal, Hamid Lmou, Ahmed Kajounı, Ayoub Louakar
1 citations
Turkish Journal of Mathematics and Computer Science
Nonlinear Differential Equations Analysis
0.97
article

Existence Results for a Class of $\psi$-Hilfer Fractional Hybrid Differential Equations

Khalid Hilal, Hamid Lmou, Ahmed Kajounı, Ayoub Louakar
article en
1 citations

Abstract

This study investigates the existence and uniform local attractiveness of solutions for a class of fractional $\psi$-Hilfer hybrid differential equations within Banach algebras. Utilizing advanced hybrid fixed-point theory, we derive results that not only establish conditions for the existence of solutions but also demonstrate their uniform local attractiveness. Our findings offer valuable insights into the behavior of these fractional differential equations and provide a solid theoretical foundation for future research and applications in this field.

Turkish Journal of Mathematics and Computer ScienceVol. 16(2)
Université Sultan Moulay Slimane (MA)
Openalex Percentile: Top 21%
Nonlinear Differential Equations Analysis
0.97
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.