Nonlocal Nonlinear Integrodifferential Equations of Fractional Orders
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Date
2012
Journal Title
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Volume Title
Publisher
Springer
Open Access Color
GOLD
Green Open Access
No
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No
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Top 10%
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Abstract
In this paper, Schauder fixed point theorem, Gelfand-Shilov principles combined with semigroup theory are used to prove the existence of mild and strong solutions for nonlinear fractional integrodifferential equations of Sobolev type with nonlocal conditions in Banach spaces. To illustrate our abstract results, an example is given. MSC: 35A05, 34G20, 34K05, 26A33.
Description
Keywords
Fractional Evolution Equation, Nonlocal Condition, Schauder'S Fixed Point Theorem, Uniformly Continuous Semigroup, Semigroup, Integro-Differential Equations, Theory and Applications of Fractional Differential Equations, Mathematical analysis, Quantum mechanics, Differential equation, Analytic semigroup, FOS: Mathematics, Schauder fixed point theorem, Fixed-point theorem, Biology, Anomalous Diffusion Modeling and Analysis, C0-semigroup, Algebra and Number Theory, Banach space, Ecology, Applied Mathematics, Physics, Fractional calculus, Pure mathematics, Partial differential equation, Sobolev space, Applied mathematics, Nonlocal Partial Differential Equations and Boundary Value Problems, Semilinear Differential Equations, Picard–Lindelöf theorem, Modeling and Simulation, FOS: Biological sciences, Physical Sciences, Nonlinear system, Type (biology), Analysis, Mathematics, Ordinary differential equation, nonlocal condition, Nonlinear differential equations in abstract spaces, Schauder's fixed point theorem, General theory of functional-differential equations, Fractional partial differential equations, fractional evolution equation, uniformly continuous semigroup
Fields of Science
01 natural sciences, 0101 mathematics
Citation
Debbouche, A., Baleanu, D., Agarwal, R.P. (2012). Nonlocal nonlinear integrodifferential equations of fractional orders. Boundray Value Problems. http://dx.doi.org/10.1186/1687-2770-2012-78
WoS Q
Q1
Scopus Q
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OpenCitations Citation Count
30
Source
Boundary Value Problems
Volume
2012
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CrossRef : 24
Scopus : 55
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58
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1
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