{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,9]],"date-time":"2026-01-09T14:39:48Z","timestamp":1767969588472,"version":"3.49.0"},"reference-count":35,"publisher":"MDPI AG","issue":"12","license":[{"start":{"date-parts":[[2021,12,13]],"date-time":"2021-12-13T00:00:00Z","timestamp":1639353600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100007258","name":"Fundo para o Desenvolvimento Tecnol\u00f3gico das Telecomunica\u00e7\u00f5es","doi-asserted-by":"publisher","award":["0074\/2019\/A2"],"award-info":[{"award-number":["0074\/2019\/A2"]}],"id":[{"id":"10.13039\/501100007258","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>The current study is devoted to investigating the existence and uniqueness of solutions for a new class of symmetrically coupled system of nonlinear hyperbolic partial-fractional differential equations in generalized Banach spaces in the sense of \u03c8\u2013Caputo partial fractional derivative. Our approach is based on the Krasnoselskii-type fixed point theorem in generalized Banach spaces and Perov\u2019s fixed point theorem together with the Bielecki norm, while Urs\u2019s approach was used to prove the Ulam\u2013Hyers stability of solutions of our system. Finally, some examples are provided in order to illustrate our theoretical results.<\/jats:p>","DOI":"10.3390\/sym13122412","type":"journal-article","created":{"date-parts":[[2021,12,14]],"date-time":"2021-12-14T01:22:05Z","timestamp":1639444925000},"page":"2412","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":10,"title":["A New Class of Coupled Systems of Nonlinear Hyperbolic Partial Fractional Differential Equations in Generalized Banach Spaces Involving the \u03c8\u2013Caputo Fractional Derivative"],"prefix":"10.3390","volume":"13","author":[{"given":"Zidane","family":"Baitiche","sequence":"first","affiliation":[{"name":"Laboratoire Equations Diff\u00e9rentielles, Department of Mathematics, Faculty of Exact Sciences, Fr\u00e8res Mentouri University Constantine 1, Ain El Bey Way, P.O. Box 325, Constantine 25017, Algeria"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-2830-1027","authenticated-orcid":false,"given":"Choukri","family":"Derbazi","sequence":"additional","affiliation":[{"name":"Laboratoire Equations Diff\u00e9rentielles, Department of Mathematics, Faculty of Exact Sciences, Fr\u00e8res Mentouri University Constantine 1, Ain El Bey Way, P.O. Box 325, Constantine 25017, Algeria"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Mouffak","family":"Benchohra","sequence":"additional","affiliation":[{"name":"Laboratory of Mathematics, Djillali Liabes University of Sidi-Bel-Abbes, P.O. Box 89, Sidi Bel Abbes 22000, Algeria"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yong","family":"Zhou","sequence":"additional","affiliation":[{"name":"Faculty of Information Technology, Macau University of Science and Technology, Macau 999078, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2021,12,13]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","unstructured":"Abbas, S., Benchohra, M., and N\u2019Gu\u00e9rxexkata, G.M. (2012). Developments in Mathematics. Topics in Fractional Differential Equations, Springer.","DOI":"10.1007\/978-1-4614-4036-9"},{"key":"ref_2","unstructured":"Abbas, S., Benchohra, M., and N\u2019Guerekata, G.M. (2015). Mathematics Research Developments. Advanced Fractional Differential and Integral Equations, Nova Science Publishers, Inc."},{"key":"ref_3","doi-asserted-by":"crossref","unstructured":"Abbas, S., Benchohra, M., Graef, J.R., and Henderson, J. (2018). 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