Abstract
In this paper, we consider the fractional boundary value problem
where D a0+ is the standard Riemann-Liouville fractional derivative. By means of fixed point theorems, sufficient conditions are obtained that guarantee the existence of solutions to the above boundary value problem. The fractional modeling is a generalization of the classical integer-order differential equations and it is a very important tool for modeling the anomalous dynamics of numerous processes involving complex systems found in many diverse fields of science and engineering.
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Supported by National Natural Sciences Foundation of China (10671012) and the Doctoral Program Foundation of Education Ministry of China (20050007011).
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Zhao, X., Ge, W. Unbounded Solutions for a Fractional Boundary Value Problems on the Infinite Interval. Acta Appl Math 109, 495–505 (2010). https://doi.org/10.1007/s10440-008-9329-9
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DOI: https://doi.org/10.1007/s10440-008-9329-9