Please use this identifier to cite or link to this item: 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)
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