On the Controllability of Fractional Functional Integro-Differential Systems With an Infinite Delay in Banach Spaces
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Date
2013
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Springeropen
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GOLD
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Abstract
In this manuscript, we study the sufficient conditions for controllability for fractional functional integro-differential systems involving the Caputo fractional derivative of order alpha is an element of(0, 1] in Banach spaces. Our main approach is based on fractional calculus, the properties of characteristic solution operators, Monch's fixed point theorem via measures of noncompactness. Particularly, these results are under some weakly compactness conditions. An example is presented in the end to show the applications of the obtained abstract results.
Description
Ravichandran, Chokkalingam/0000-0003-0214-1280
Keywords
Controllability, Caputo Fractional Derivative, Measures Of Noncompactness, Fixed Point Theorem, Controllability, Fractional Differential Equations, Economics, Compact space, Theory and Applications of Fractional Differential Equations, Mathematical analysis, Biochemistry, Gene, Engineering, Differential equation, FOS: Mathematics, Fixed-point theorem, Anomalous Diffusion Modeling and Analysis, C0-semigroup, Order (exchange), Algebra and Number Theory, Banach space, Functional analysis, Applied Mathematics, Fractional calculus, Pure mathematics, Fixed point, Applied mathematics, Fractional Derivatives, Chemistry, Control and Systems Engineering, Modeling and Simulation, Physical Sciences, Analysis and Control of Distributed Parameter Systems, Fractional Calculus, Analysis, Mathematics, Ordinary differential equation, Finance, Control problems for functional-differential equations, fixed point theorem, controllability, Measures of noncompactness and condensing mappings, \(K\)-set contractions, etc., Integro-ordinary differential equations, Fixed-point theorems, measures of noncompactness, Caputo fractional derivative, Functional-differential equations with fractional derivatives
Fields of Science
01 natural sciences, 0103 physical sciences, 0101 mathematics
Citation
Baleanu, Dimitru; Ravichandran, Chokkalingam, "On The Controllability of Fractional Functional Integro-Differential Systems With an İnfinite Delay in Banach Spaces", Advances In Difference Equations, (2013).
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Q1
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OpenCitations Citation Count
21
Source
Advances in Difference Equations
Volume
2013
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CrossRef : 2
Scopus : 48
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