Existence Results for Fractional Neutral Functional Integro-Differential Evolution Equations With Infinite Delay in Banach Spaces
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Date
2013
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Springer international Publishing Ag
Open Access Color
GOLD
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Abstract
In this paper, we investigate the existence results for a class of abstract fractional neutral integro-differential evolution systems involving the Caputo derivative in Banach spaces. The main techniques rely on the fractional calculus, properties of characteristic solution operators, Monch's fixed point theorem via measures of noncompactness. Particularly, we do not assume that characteristic solution operators are compact. The application is given to illustrate the theory. The results of this article are generalization and improvement of the recent results on this issue. MSC: 26A33, 34A12, 47H08, 47H10.
Description
Ravichandran, Chokkalingam/0000-0003-0214-1280
Keywords
Caputo Fractional Derivative, Fractional Calculus, Existence, Fixed Point Theorem, Measures Of Noncompactness, Artificial intelligence, Class (philosophy), Fractional Differential Equations, Generalization, Theory and Applications of Fractional Differential Equations, Existence Results, Mathematical analysis, Biochemistry, Gene, Differential equation, Numerical Methods for Singularly Perturbed Problems, FOS: Mathematics, Fixed-point theorem, Anomalous Diffusion Modeling and Analysis, C0-semigroup, Numerical Analysis, Algebra and Number Theory, Banach space, Functional analysis, Applied Mathematics, Fractional calculus, Pure mathematics, Fixed point, Applied mathematics, Computer science, Fractional Derivatives, Chemistry, Modeling and Simulation, Physical Sciences, Finite Difference Schemes, Analysis, Mathematics, Ordinary differential equation, fixed point theorem, fractional calculus, Measures of noncompactness and condensing mappings, \(K\)-set contractions, etc., Functional-differential equations in abstract spaces, measures of noncompactness, Caputo fractional derivative, existence, Neutral functional-differential equations, Functional-differential equations with fractional derivatives
Fields of Science
01 natural sciences, 0103 physical sciences, 0101 mathematics
Citation
Ravichandran, Chokkalingam; Baleanu, Dumitru, "Existence results for fractional neutral functional integro-differential evolution equations with infinite delay in Banach spaces", Advances In Difference Equations, (2013)
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Q1
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OpenCitations Citation Count
18
Source
Advances in Difference Equations
Volume
2013
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CrossRef : 4
Scopus : 49
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