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The proposed method uses certain integral inequalities, Banach's Contraction Principle and Krasnoselskii's Fixed Point Theorem to identify conditions that guarantee the existence and uniqueness of the solution (for the problem under study) and that allow the deduction of Ulam-Hyers and Ulam-Hyers-Rassias stabilities.&lt;\/p&gt;&lt;\/abstract&gt;<\/jats:p>","DOI":"10.3934\/mbe.2022505","type":"journal-article","created":{"date-parts":[[2022,7,28]],"date-time":"2022-07-28T10:43:29Z","timestamp":1659005009000},"page":"10809-10825","source":"Crossref","is-referenced-by-count":10,"title":["On the solution and Ulam-Hyers-Rassias stability of a Caputo fractional boundary value problem"],"prefix":"10.3934","volume":"19","author":[{"given":"Lu\u00eds P.","family":"Castro","sequence":"first","affiliation":[]},{"given":"Anabela S.","family":"Silva","sequence":"additional","affiliation":[]}],"member":"2321","reference":[{"key":"key-10.3934\/mbe.2022505-1","doi-asserted-by":"crossref","unstructured":"K. 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