01015nam a22002057a 4500952013000000999001700130040003600147082001300183100002700196245008500223260003500308300003900343500014800382500004100530500004300571502005900614546001200673650011700685942000700802  00104071aRIUbRIUd2025-08-20eRiphah International Universityl0o510 FAYp102951r2025-08-20 00:00:00t1w2025-08-20yTH  c57804d57804  cRiphah International University  a510bFAY  aFayyaz Un Nisa (57899)  aNumerical analysis of fractional population model using legendre neural network   aIslamabadb(Unpublished)c2025  axii, 56 p.b: ill. c; 30 cm.e+CD  aSubmitted in partial fulfillment of the requirements for the degree of Master of Philosophy in Mathematics to the Department of Basic Sciences.  aIncludes bibliographical references.  aThesis supervisor: Dr. Muhammad Yaqoob  aThesis (M.Phil)--Riphah International University, 2025  aEnglish  aMathematicsvSupport vector machine vLegendre neural blockvProbability density vHomotopy vOptimalvDBSvFEAS  cTH