Existence Results for a Class of Fractional Differential Equations With Periodic Boundary Value Conditions and With Delay
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Date
2013
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Publisher
Hindawi Ltd
Open Access Color
GOLD
Green Open Access
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Abstract
We discuss the existence and uniqueness of solution for two types of fractional order ordinary and delay differential equations. Fixed point theorems are the main tool used here to establish the existence and uniqueness results. First we use Banach contraction principle to prove the uniqueness of solution and then Krasnoselskii's fixed point theorem to show the existence of the solution under certain conditions in a Banach space.
Description
Babakhani, Azizollah/0000-0002-5342-1322
ORCID
Keywords
Artificial intelligence, Class (philosophy), Theory and Applications of Fractional Differential Equations, Existence Results, Contraction mapping, Mathematical analysis, Differential equation, Banach fixed-point theorem, Numerical Integration Methods for Differential Equations, QA1-939, FOS: Mathematics, Fixed-point theorem, Functional Differential Equations, Boundary value problem, Anomalous Diffusion Modeling and Analysis, C0-semigroup, Numerical Analysis, Banach space, Applied Mathematics, Contraction principle, Fixed point, Computer science, Initial value problem, Picard–Lindelöf theorem, Modeling and Simulation, Physical Sciences, Uniqueness, Mathematics, Ordinary differential equation, Nonlinear boundary value problems for ordinary differential equations, Fractional ordinary differential equations, Boundary value problems for functional-differential equations, Applications of operator theory to differential and integral equations, fixed point theorems, Functional-differential equations with fractional derivatives
Fields of Science
01 natural sciences, 0101 mathematics
Citation
Baleanu, Dimitru; Karami, Hadi; Babakhani, Azizollah, "Existence Results for a Class of Fractional Differential Equations with Periodic Boundary Value Conditions and with Delay", Abstract and Applied Analysis, (2013).
WoS Q
Scopus Q
Q3
OpenCitations Citation Count
5
Source
Abstract and Applied Analysis
Volume
2013
Issue
Start Page
1
End Page
8
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CrossRef : 3
Scopus : 4
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