Asymptotically Linear Solutions for Some Linear Fractional Differential Equations
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Date
2010
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Hindawi Publishing Corporation
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GOLD
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Abstract
We establish here that under some simple restrictions on the functional coefficient a(t) the fractional differential equation 0D(t)(alpha)[tx' - x + x(0)] + a(t)x = 0, t > 0, has a solution expressible as ct + d + o(1) for t -> +infinity, where D-0(t)alpha designates the Riemann-Liouville derivative of order alpha is an element of (0, 1) and c, d is an element of R.
Description
Keywords
Numerical Analysis, Fractional Differential Equations, Time-Fractional Diffusion Equation, Applied Mathematics, Theory and Applications of Fractional Differential Equations, Computer science, Algorithm, Fractional Derivatives, Semilinear Differential Equations, Numerical Methods for Singularly Perturbed Problems, Modeling and Simulation, Physical Sciences, QA1-939, FOS: Mathematics, Functional Differential Equations, Mathematics, Anomalous Diffusion Modeling and Analysis, Linear ordinary differential equations and systems, Fractional ordinary differential equations, Asymptotic properties of solutions to ordinary differential equations
Fields of Science
01 natural sciences, 0101 mathematics
Citation
Baleanu, D., Mustafa, O.G., Agarwal, R.P. (2010). Asymptotically linear solutions for some linear fractional differential equations. Abstract and Applied Analysis. http://dx.doi.org/ 10.1155/2010/865139
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Scopus Q
Q3
OpenCitations Citation Count
10
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Abstract and Applied Analysis
Volume
2010
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CrossRef : 10
Scopus : 28
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