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http://hdl.handle.net/10553/41511
Title: | Existence and uniqueness of solutions for a boundary value problem of fractional type with nonlocal integral boundary conditions in Hölder spaces | Authors: | Cabrera, I. Harjani, J. Sadarangani, K. |
UNESCO Clasification: | 12 Matemáticas | Keywords: | Fixed point Boundary value problem Fractional order Hölder spaces |
Issue Date: | 2018 | Journal: | Mediterranean Journal of Mathematics | Abstract: | In this paper, we prove the existence and uniqueness of solutions for the following fractional boundary value problem (Formula presented.), where 0 < α≤ 1 , 0 < η< 1 and λ, γ, ρ∈ R. Our solutions are placed in the space of functions satisfying the Hölder condition. Our analysis relies on a fixed point theorem in complete metric spaces. Moreover, we present some examples illustrating our results. | URI: | http://hdl.handle.net/10553/41511 | ISSN: | 1660-5446 | DOI: | 10.1007/s00009-018-1142-8 | Source: | Mediterranean Journal of Mathematics[ISSN 1660-5446],v. 15 (98) |
Appears in Collections: | Artículos |
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