On a new class of Ψ-Hilfer fractional differential equation involving topological degree method

This paper focuses on investigating the existence and uniqueness of solutions for a novel category of ?-Hilfer-type fractional differential equations. We employ the approach of topological degree theory for condensing maps to establish the existence of solutions. Additionally, to deal with the uniqueness, we utilize Banach?s contraction principle. To demonstrate the practical implications of our theoretical findings, we present an illustrative example.

Institutions

Publication Details

Journal
Filomat
Published
2025-01-01
DOI
https://doi.org/10.2298/fil2511769l
Primary Topic
Geochemistry and Geologic Mapping
Type
article
Field-Weighted Citation Impact
0.00
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
article

On a new class of Ψ-Hilfer fractional differential equation involving topological degree method

Filomat
Geochemistry and Geologic Mapping
article

On a new class of Ψ-Hilfer fractional differential equation involving topological degree method

article en

Abstract

This paper focuses on investigating the existence and uniqueness of solutions for a novel category of ?-Hilfer-type fractional differential equations. We employ the approach of topological degree theory for condensing maps to establish the existence of solutions. Additionally, to deal with the uniqueness, we utilize Banach?s contraction principle. To demonstrate the practical implications of our theoretical findings, we present an illustrative example.

FilomatVol. 39(11)
Université Sultan Moulay Slimane (MA)
Reduced inequalities
Openalex Percentile: Top 69%
Geochemistry and Geologic Mapping
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.

On a new class of Ψ-Hilfer fractional differential equation involving topological degree method · Filomat (2025) | TGRS Research Map | TGRS