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A K-Dimensional System of Fractional Neutral Functional Differential Equations With Bounded Delay

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Date

2014

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Hindawi Ltd

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GOLD

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Abstract

In 2010, Agarwal et al. studied the existence of a one-dimensional fractional neutral functional differential equation. In this paper, we study an initial value problem for a class of k-dimensional systems of fractional neutral functional differential equations by using Krasnoselskii's fixed point theorem. In fact, our main result generalizes their main result in a sense..

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Keywords

Numerical Analysis, Artificial intelligence, Class (philosophy), Fractional Differential Equations, Applied Mathematics, Discrete mathematics, Theory and Applications of Fractional Differential Equations, Computer science, Algorithm, Fractional Derivatives, Numerical Methods for Singularly Perturbed Problems, Modeling and Simulation, Physical Sciences, QA1-939, FOS: Mathematics, Fractional Calculus, Finite Difference Schemes, Functional Differential Equations, Mathematics, Anomalous Diffusion Modeling and Analysis, Neutral functional-differential equations, Functional-differential equations with fractional derivatives

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Fields of Science

01 natural sciences, 0101 mathematics

Citation

Baleanu, Dimitru; Nazemi, Sayyedeh Zahra; Rezapour, Shahram, "A k-Dimensional System of Fractional Neutral Functional Differential Equations with Bounded Delay", Abstract and Applied Analysis, (2014).

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Q3
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OpenCitations Citation Count
2

Source

Abstract and Applied Analysis

Volume

2014

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1

End Page

6
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Scopus : 4

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Mendeley Readers : 2

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4

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3

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1

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0.4530942

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