{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,23]],"date-time":"2026-02-23T11:51:00Z","timestamp":1771847460846,"version":"3.50.1"},"reference-count":19,"publisher":"World Scientific Pub Co Pte Lt","issue":"04","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Wavelets Multiresolut Inf. Process."],"published-print":{"date-parts":[[2019,7]]},"abstract":"<jats:p> In this paper, we present a solution method for fractional nonlinear ordinary differential equations. We propose a method by utilizing the sine\u2013cosine wavelets (SCWs) in conjunction with quasilinearization technique. The fractional nonlinear differential equations are transformed into a system of discrete fractional differential equations by quasilinearization technique. The operational matrices of fractional order integration for SCW are derived and utilized to transform the obtained discrete system into systems of algebraic equations and the solutions of algebraic systems lead to the solution of fractional nonlinear differential equations. Convergence analysis and procedure of implementation for the proposed method are also considered. To illustrate the reliability and accuracy of the method, we tested the method on fractional nonlinear Lane\u2013Emden type equation and temperature distribution equation. <\/jats:p>","DOI":"10.1142\/s0219691319500267","type":"journal-article","created":{"date-parts":[[2019,3,4]],"date-time":"2019-03-04T04:20:12Z","timestamp":1551673212000},"page":"1950026","source":"Crossref","is-referenced-by-count":5,"title":["Sine\u2013cosine wavelets operational matrix method for fractional nonlinear differential equation"],"prefix":"10.1142","volume":"17","author":[{"given":"Umer","family":"Saeed","sequence":"first","affiliation":[{"name":"NUST Institute of Civil Engineering, School of Civil and Environmental Engineering, National University of Sciences and Technology, Islamabad, Pakistan"}]}],"member":"219","published-online":{"date-parts":[[2019,7,2]]},"reference":[{"key":"S0219691319500267BIB001","doi-asserted-by":"publisher","DOI":"10.1016\/j.cam.2007.06.010"},{"key":"S0219691319500267BIB002","volume-title":"Quasilinearization and Nonlinear Boundary-Value Problems","author":"Bellman R. 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