Applying New Fixed Point Theorems on Fractional and Ordinary Differential Equations
Loading...
Date
2019
Journal Title
Journal ISSN
Volume Title
Publisher
Springer
Open Access Color
GOLD
Green Open Access
No
OpenAIRE Downloads
OpenAIRE Views
Publicly Funded
No
BIP! Indicators
Impulse
Top 1%
Influence
Top 10%
Popularity
Top 1%
Abstract
In this paper, we consider a fixed point theorem that extends and unifies several existing results in the literature. We apply the proven fixed point results on the existence of solution of ordinary boundary value problems and fractional boundary value problems with integral type boundary conditions in the frame of some Caputo type fractional operators.
Description
Keywords
Fractional Differential Equations, Ode, Generalized Alpha-H-Upsilon-Contractions, Weakly Contractive Mappings, Fractional differential equations, ODE, Fractional Differential Equations, Generalized α-h-ϑ-contractions, Theory and Applications of Fractional Differential Equations, Mathematical analysis, Fixed Point Theorems in Metric Spaces, Differential equation, QA1-939, FOS: Mathematics, Fixed-point theorem, Functional Differential Equations, Boundary value problem, Biology, Anomalous Diffusion Modeling and Analysis, Ecology, Fixed Point Theorems, Applied Mathematics, Fractional calculus, Partial differential equation, Fixed point, Applied mathematics, Computer science, Weakly contractive mappings, Fractional Derivatives, Boundary Value Problems, Modeling and Simulation, FOS: Biological sciences, Physical Sciences, Telecommunications, Geometry and Topology, Type (biology), Mathematics, Ordinary differential equation, Frame (networking), contractions, Fractional ordinary differential equations, weakly contractive mappings, Special maps on metric spaces, Fixed-point and coincidence theorems (topological aspects), fractional differential equations
Fields of Science
01 natural sciences, 0101 mathematics
Citation
Karapınar, Erdal; Abdeljawad, Thabet; Jarad, Fahd, "Applying new fixed point theorems on fractional and ordinary differential equations", Advances in Difference Equations, Vol. 2019, No. 1, (October 2019).
WoS Q
Q1
Scopus Q
OpenCitations Citation Count
74
Source
Advances in Difference Equations
Volume
2019
Issue
1
Start Page
End Page
PlumX Metrics
Citations
CrossRef : 10
Scopus : 105
Captures
Mendeley Readers : 7
Google Scholar™
