A research paper titled “Solving fuzzy Riccati differential equations with Trapezoidal fuzzy functions by Homotopy perturbation method” by Dr. Mahasin Thabet Younis, Dr. Zeina Talal Yassin, and Prof. Waleed Mohammed Fathi Al-Hayani was published in the journal “Statistics, Optimization and Information Computing” on September 6, 2026 (Scopus Q2).<\/p>\n
This study innovatively combines the homology perturbation method (HPM) with trapezoidal fuzzy functions to solve nonlinear Riccati differential equations under uncertainty. By analyzing fuzzy equations into \u03b1-truncation systems and solving coupled \u0394truncation problems using HPM, this approach preserves the trapezoidal fuzzy structures while ensuring computational efficiency and accuracy. The stability of the fuzzy Riccati differential equation was also investigated, and good, highly efficient results were obtained in converging the values \u200b\u200bof \u03b1. This convergence was proven both theoretically and numerically. The numerical results confirm the speed and accuracy of the convergence, where the Hea polynomials and accelerated Adomian polynomials were used. This framework expands the application of HPM to include complex uncertainty modeling, providing a powerful tool for control theory and engineering systems with trapezoidal fuzzy coefficients.<\/p>\n","protected":false},"excerpt":{"rendered":"
A research paper titled “Solving fuzzy Riccati differential equations with Trapezoidal fuzzy functions by Homotopy perturbation method” by Dr. Mahasin Thabet Younis, Dr. Zeina Talal Yassin, and Prof. Waleed Mohammed Fathi Al-Hayani was published in the journal “Statistics, Optimization and Information Computing” on September 6, 2026 (Scopus Q2). This study innovatively combines the homology perturbation method (HPM) with trapezoidal fuzzy functions to solve nonlinear Riccati differential equations under uncertainty. By analyzing fuzzy equations into \u03b1-truncation systems and solving coupled \u0394truncation problems using HPM, this approach preserves the trapezoidal fuzzy structures while ensuring computational efficiency and accuracy. The stability of the fuzzy [Read More]<\/a><\/p>\n","protected":false},"author":24,"featured_media":43342,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[3],"tags":[],"class_list":["post-43341","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-news"],"_links":{"self":[{"href":"https:\/\/uomosul.edu.iq\/en\/computerscience\/wp-json\/wp\/v2\/posts\/43341","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/uomosul.edu.iq\/en\/computerscience\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/uomosul.edu.iq\/en\/computerscience\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/uomosul.edu.iq\/en\/computerscience\/wp-json\/wp\/v2\/users\/24"}],"replies":[{"embeddable":true,"href":"https:\/\/uomosul.edu.iq\/en\/computerscience\/wp-json\/wp\/v2\/comments?post=43341"}],"version-history":[{"count":1,"href":"https:\/\/uomosul.edu.iq\/en\/computerscience\/wp-json\/wp\/v2\/posts\/43341\/revisions"}],"predecessor-version":[{"id":43343,"href":"https:\/\/uomosul.edu.iq\/en\/computerscience\/wp-json\/wp\/v2\/posts\/43341\/revisions\/43343"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/uomosul.edu.iq\/en\/computerscience\/wp-json\/wp\/v2\/media\/43342"}],"wp:attachment":[{"href":"https:\/\/uomosul.edu.iq\/en\/computerscience\/wp-json\/wp\/v2\/media?parent=43341"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/uomosul.edu.iq\/en\/computerscience\/wp-json\/wp\/v2\/categories?post=43341"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/uomosul.edu.iq\/en\/computerscience\/wp-json\/wp\/v2\/tags?post=43341"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}