{"id":7369,"date":"2026-05-27T18:40:31","date_gmt":"2026-05-27T10:40:31","guid":{"rendered":"\/jase\/?post_type=tkuisotope&p=7369"},"modified":"2026-05-27T20:24:21","modified_gmt":"2026-05-27T12:24:21","slug":"jase-202609-32-054","status":"publish","type":"tkuisotope","link":"\/jase\/?tkuisotope=jase-202609-32-054","title":{"rendered":"Exact solutions of the conformable fractional differential systems with constant coefficients"},"content":{"rendered":"\n
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<\/i> 2026<\/a><\/p>\n<\/div>\n\n\n\n

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<\/i> Volume 32<\/a><\/p>\n<\/div>\n\n\n\n

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Yang Cai<\/i><\/a> <\/p>\n\n\n\n

Department of Mathematics, Pingxiang University, Pingxiang, China<\/p>\n<\/div>\n\n\n\n

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Received: November 25, 2025
Accepted: March 30, 2026
Publication Date: May 27, 2026<\/p>\n<\/div>\n<\/div>\n\n\n\n

\"\u4e0a\u50b3\u5716\u7247\"\n\n\n

The current response i(t) for the same fractional orders <\/p>\n<\/div>\n<\/div>\n\n\n\n

<\/i> Copyright <\/strong>The Author(s). This is an open access article distributed under the terms of the Creative Commons Attribution License (CC BY 4.0)<\/a>, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are cited.<\/p>\n\n\n\n

Download Citation:\u00a0 BibTeX <\/a>| http:\/\/dx.doi.org\/10.6180\/jase.202609_32.054<\/a>\u00a0\u00a0<\/p>\n\n\n\n

Download PDF<\/a><\/p>\n\n\n\n

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Conformable fractional calculus simplifies research and application due to its similarity with classical calculus in theory and operations. Therefore, it has gained significant attention from researchers and has accumulated rich theoretical achievements. The article establishes a comprehensive eigenvalue-based analytical system for constant coefficient flexible fractional differential systems by extending previous research work. The proposed method provides a systematic approach to eigenvalue classification, which results in four distinct eigenvalue categories and produces actual solutions for every category. The process of transforming complex eigenvalues into real solutions employs Euler\u2019s formula, whereas the method for handling repeated roots uses a systematic approach of variable substitution. The framework establishes a complete theoretical foundation that describes high-dimensional conformable systems and demonstrates its validity through practical examples.<\/p>\n\n\n\n

Keywords: Conformable Differential Systems, Constant Coefficients, Eigenvalue.<\/em><\/p>\n\n\n\n

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