Global Attractivity for Fractional Order Delay Partial Integro-Differential Equations
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Date
2012
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Publisher
Springer
Open Access Color
GOLD
Green Open Access
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Abstract
Our aim in this work is to study the existence and the attractivity of solutions for a system of delay partial integro-differential equations of fractional order. We use the Schauder fixed point theorem for the existence of solutions, and we prove that all solutions are locally asymptotically stable. AMS (MOS) Subject Classifications: 26A33.
Description
Keywords
Delay Integro-Differential Equation, Left-Sided Mixed Riemann Liouville Integral Of Fractional Order, Caputo Fractional-Order Derivative, Attractivity, Solution, Fixed Point, Fractional Differential Equations, Economics, Theory and Applications of Fractional Differential Equations, Mathematical analysis, Differential equation, Health Sciences, FOS: Mathematics, Fixed-point theorem, Functional Differential Equations, Anomalous Diffusion Modeling and Analysis, Order (exchange), Algebra and Number Theory, Time-Fractional Diffusion Equation, Applied Mathematics, Public Health, Environmental and Occupational Health, Partial differential equation, Fixed point, Applied mathematics, Fractional Derivatives, Modeling and Simulation, Disease Transmission and Population Dynamics, Physical Sciences, Medicine, Analysis, Mathematics, Ordinary differential equation, Finance, attractivity, delay integro-differential equation, Attractors, solution, Fractional partial differential equations, Caputo fractional-order derivative, left-sided mixed Riemann-Liouville integral of fractional order, Integro-partial differential equations, fixed point
Fields of Science
01 natural sciences, 0101 mathematics
Citation
Abbas, Said; Baleanu, Dumitru; Benchohra, Mouffak, "Global attractivity for fractional order delay partial integro-differential equations", Advances In Difference Equations, (2012)
WoS Q
Q1
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OpenCitations Citation Count
10
Source
Advances in Difference Equations
Volume
2012
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CrossRef : 5
Scopus : 15
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Mendeley Readers : 11
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