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By various given hypotheses, exciting results are established in the setting of an extended <jats:italic>b<\/jats:italic>\u2212metric space. Thereafter, by making consequent use of the fixed point technique, short and simple proofs are obtained for solutions of a fractional differential equation, a system of fractional differential equations and a two\u2010dimensional linear Fredholm integral equation.<\/jats:p>","DOI":"10.1155\/2021\/5730853","type":"journal-article","created":{"date-parts":[[2021,2,24]],"date-time":"2021-02-24T01:20:24Z","timestamp":1614129624000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":24,"title":["Solutions of Fractional Differential Type Equations by Fixed Point Techniques for Multivalued Contractions"],"prefix":"10.1155","volume":"2021","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-8724-9367","authenticated-orcid":false,"given":"Hasanen A.","family":"Hammad","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-4606-7211","authenticated-orcid":false,"given":"Hassen","family":"Aydi","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-9320-9433","authenticated-orcid":false,"given":"Manuel","family":"De la Sen","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","published-online":{"date-parts":[[2021,2,23]]},"reference":[{"key":"e_1_2_11_1_2","article-title":"Theory and applications of fractional differential equations","volume":"204","author":"Kilbas A. 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