On Fractional Order Hybrid Differential Equations
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Date
2014
Journal Title
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Volume Title
Publisher
Hindawi Publishing Corporation
Open Access Color
GOLD
Green Open Access
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Top 10%
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Abstract
We develop the theory of fractional hybrid differential equations with linear and nonlinear perturbations involving the Caputo fractional derivative of order 0 < alpha < 1. Using some fixed point theorems we prove the existence of mild solutions for two types of hybrid equations. Examples are given to illustrate the obtained results.
Description
Herzallah, Mohamed/0000-0003-3514-3709
ORCID
Keywords
Financial economics, Fractional Differential Equations, Economics, Theory and Applications of Fractional Differential Equations, Mathematical analysis, Quantum mechanics, Differential equation, Numerical Methods for Singularly Perturbed Problems, QA1-939, FOS: Mathematics, Functional Differential Equations, Anomalous Diffusion Modeling and Analysis, Order (exchange), Numerical Analysis, Applied Mathematics, Physics, Fractional calculus, Applied mathematics, Algorithm, Fractional Derivatives, Modeling and Simulation, Derivative (finance), Physical Sciences, Nonlinear system, Fractional Calculus, Mathematics, Finance, Neutral functional-differential equations, Functional-differential equations with fractional derivatives
Fields of Science
01 natural sciences, 0101 mathematics
Citation
Baleanu, Dimitru; Herzallah, Mohamed A. E., "On Fractional Order Hybrid Differential Equations", Abstract and Applied Analysis, (2014).
WoS Q
Scopus Q
Q3
OpenCitations Citation Count
44
Source
Abstract and Applied Analysis
Volume
2014
Issue
Start Page
1
End Page
7
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CrossRef : 4
Scopus : 69
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Mendeley Readers : 8
SCOPUS™ Citations
73
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Web of Science™ Citations
61
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2
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