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The reference data set for the design of the BLM-NN algorithm for different examples of FDEs are generated by using the exact solutions. To obtain the numerical solutions, multiple operations based on training, validation, and testing on the reference data set are carried out by the design scheme for various orders of FDEs. The approximate solutions by the BLM-NN algorithm are compared with analytical solutions and performance based on mean square error (MSE), error histogram (EH), regression, and curve fitting. This further validates the accuracy, robustness, and efficiency of the proposed algorithm.<\/jats:p>","DOI":"10.1155\/2022\/2710576","type":"journal-article","created":{"date-parts":[[2022,1,20]],"date-time":"2022-01-20T05:50:08Z","timestamp":1642657808000},"page":"1-16","source":"Crossref","is-referenced-by-count":38,"title":["Application of Intelligent Paradigm through Neural Networks for Numerical Solution of Multiorder Fractional Differential Equations"],"prefix":"10.1155","volume":"2022","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-8680-723X","authenticated-orcid":true,"given":"Naveed Ahmad","family":"Khan","sequence":"first","affiliation":[{"name":"Department of Mathematics, Abdul Wali Khan University, Mardan, KP, Pakistan"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-4750-8384","authenticated-orcid":true,"given":"Osamah","family":"Ibrahim Khalaf","sequence":"additional","affiliation":[{"name":"Al-Nahrain Nanorenewable Energy Research Center, Al-Nahrain University, Baghdad 10001, Iraq"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-4606-7222","authenticated-orcid":true,"given":"Carlos","family":"Andr\u00e9s Tavera Romero","sequence":"additional","affiliation":[{"name":"COMBA R&D Laboratory, Faculty of Engineering, Universidad Santiago de Cali, 76001 Cali, Colombia"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-4040-6211","authenticated-orcid":true,"given":"Muhammad","family":"Sulaiman","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Abdul Wali Khan University, Mardan, KP, Pakistan"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-9512-7191","authenticated-orcid":true,"given":"Maharani A.","family":"Bakar","sequence":"additional","affiliation":[{"name":"Special Interest Group Modelling and Data Analytics, Faculty of Ocean Engineering Technology and Informatics, Universiti Malaysia Terengganu, Kuala Nerus, Terengganu 21300, Malaysia"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"311","reference":[{"key":"1","doi-asserted-by":"publisher","DOI":"10.1122\/1.549887"},{"key":"2","volume-title":"Fractional Differential Equations: An Introduction to Fractional Derivatives, Fractional Differential Equations, to Methods of Their Solution and Some of Their Applications","author":"I. 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