On a New Fixed Point Theorem With an Application on a Coupled System of Fractional Differential Equations
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Date
2020
Journal Title
Journal ISSN
Volume Title
Publisher
Springer
Open Access Color
GOLD
Green Open Access
No
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Top 10%
Abstract
In this work, new theorems and results related to fixed point theory are presented. The results obtained are used for the sake of proving the existence and uniqueness of a positive solution of a coupled system of equations that involves fractional derivatives in the Riemann-Liouville settings and is subject to boundary conditions in the form of integrals.
Description
Abdeljawad, Thabet/0000-0002-8889-3768; Afshari, Hojat/0000-0003-1149-4336
Keywords
Fractional Differential Equation, Common Fixed Point, <Mml:Msub>Rho</Mml:Msub>-Admissible, Coupled System, Rho-admissible, Ρ<sub>∗</sub>-admissible, Common fixed point, Theory and Applications of Fractional Differential Equations, Mathematical analysis, Fixed Point Theorems in Metric Spaces, Differential equation, Coupled system, QA1-939, FOS: Mathematics, Schauder fixed point theorem, Fixed-point theorem, Boundary value problem, Anomalous Diffusion Modeling and Analysis, Fixed Point Theorems, Applied Mathematics, Fractional calculus, Partial differential equation, Fixed point, Applied mathematics, Fractional differential equation, Picard–Lindelöf theorem, Modeling and Simulation, Physical Sciences, Geometry and Topology, Uniqueness, ρ ∗ $\rho _{*}$ -admissible, Mathematics, Ordinary differential equation, Fractional ordinary differential equations, Positive solutions to nonlinear boundary value problems for ordinary differential equations, coupled system, Fractional derivatives and integrals, fractional differential equation, Applications of operator theory to differential and integral equations, common fixed point, \(\rho_\ast\)-admissible
Fields of Science
01 natural sciences, 0101 mathematics
Citation
Afshari, Hojjat; Jarad, Fahd; Abdeljawad, Thabet (2020). "On a new fixed point theorem with an application on a coupled system of fractional differential equations", Advances in Difference Equations, Vol. 2020, No. 1.
WoS Q
Q1
Scopus Q
OpenCitations Citation Count
6
Source
Advances in Difference Equations
Volume
2020
Issue
1
Start Page
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Citations
CrossRef : 2
Scopus : 13
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