ON A FRACTIONAL BOUNDARY VALUE PROBLEM WITH A PERTURBATION TERM

John R. Graef; Lingju Kong; Qingkai Kong; Min Wang

doi:10.11948/2017004

2017 Volume 7 Issue 1

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John R. Graef, Lingju Kong, Qingkai Kong, Min Wang. ON A FRACTIONAL BOUNDARY VALUE PROBLEM WITH A PERTURBATION TERM[J]. Journal of Applied Analysis & Computation, 2017, 7(1): 57-66. doi: 10.11948/2017004

Citation:

John R. Graef, Lingju Kong, Qingkai Kong, Min Wang. ON A FRACTIONAL BOUNDARY VALUE PROBLEM WITH A PERTURBATION TERM[J]. Journal of Applied Analysis & Computation, 2017, 7(1): 57-66. doi: 10.11948/2017004

ON A FRACTIONAL BOUNDARY VALUE PROBLEM WITH A PERTURBATION TERM

1 Department of Mathematics, University of Tennessee at Chattanooga, Chattanooga, TN 37403, USA;
2 Department of Mathematical Sciences, Northern Illinois University, DeKalb, IL 60115, USA;
3 Equifax Inc., Alpharetta, GA 30005, USA;
4 Department of Mathematics, Rowan University, Glassboro, NJ USA 08028

Abstract

Abstract

In this paper, the authors study a nonlinear fractional boundary value problem of order α with 2 < α < 3. The associated Green's function is derived as a series of functions. Criteria for the existence and uniqueness of positive solutions are then established based on it.
- Fractional derivative /
- boundary value problem /
- Dirichlet condition
MSC: 34B15;34B27

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References

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