Abstract
In this paper, we prove the existence and uniqueness of solutions for the following fractional boundary value problem
where \(0<\alpha \le 1, 0<\eta <1\) and \(\lambda ,\gamma ,\rho \in \mathbb {R}\). 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.
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Cabrera, I., Harjani, J. & Sadarangani, K. Existence and Uniqueness of Solutions for a Boundary Value Problem of Fractional Type with Nonlocal Integral Boundary Conditions in Hölder Spaces. Mediterr. J. Math. 15, 98 (2018). https://doi.org/10.1007/s00009-018-1142-8
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DOI: https://doi.org/10.1007/s00009-018-1142-8