On the Existence and Uniqueness of Solutions for Local Fractional Differential Equations
Loading...
Date
2016
Journal Title
Journal ISSN
Volume Title
Publisher
Mdpi
Open Access Color
GOLD
Green Open Access
No
OpenAIRE Downloads
OpenAIRE Views
Publicly Funded
No
BIP! Indicators
Impulse
Top 10%
Influence
Top 10%
Popularity
Top 10%
Abstract
In this manuscript, we prove the existence and uniqueness of solutions for local fractional differential equations (LFDEs) with local fractional derivative operators (LFDOs). By using the contracting mapping theorem (CMT) and increasing and decreasing theorem (IDT), existence and uniqueness results are obtained. Some examples are presented to illustrate the validity of our results.
Description
Jafari, Hossein/0000-0001-6807-6675
ORCID
Keywords
Existence And Uniqueness Solutions, Local Fractional Differential Equations, Contracting Mapping Theorem, Local Fractional Operators, existence and uniqueness solutions; local fractional differential equations; contracting mapping theorem; local fractional operators
Fields of Science
0103 physical sciences, 0101 mathematics, 01 natural sciences
Citation
Baleanu, D...[et.al.]. (2016). On the Existence and Uniqueness of Solutions for Local Fractional Differential Equations. Entropy, 18(11). http://dx.doi.org/10.3390/e18110420
WoS Q
Q2
Scopus Q
Q2
OpenCitations Citation Count
23
Source
Entropy
Volume
18
Issue
11
Start Page
End Page
PlumX Metrics
Citations
CrossRef : 23
Scopus : 31
Captures
Mendeley Readers : 9
SCOPUS™ Citations
31
checked on Feb 24, 2026
Web of Science™ Citations
14
checked on Feb 24, 2026
Page Views
1
checked on Feb 24, 2026
Google Scholar™
