Enhanced Optimal Homotopy Asymptotic Multiple Parameters Method For Solving Fuzzy Fractional Differential Equations

Alshbeel, Abdallah Eshbeel Abdallah (2025) Enhanced Optimal Homotopy Asymptotic Multiple Parameters Method For Solving Fuzzy Fractional Differential Equations. PhD thesis, Universiti Sains Malaysia.

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Abstract

This thesis addresses these challenges by applying and extending the Optimal Homotopy Asymptotic Method (OHAM) to solve both linear and nonlinear FFDEs. The main contribution is the development of a generalized OHAM framework that incorporates advanced forms of fractional derivatives, specifically the Caputo-Katugampola (CK) derivative with two parameters and theAtangana–Baleanu–Caputo (ABC) derivative with Mittag–Leffler (ML) kernels involving three parameters.

Item Type: Thesis (PhD)
Subjects: Q Science > QA Mathematics > QA1-939 Mathematics
Divisions: Pusat Pengajian Sains Matematik (School of Mathematical Sciences) > Thesis
Depositing User: Mr Aizat Asmawi Abdul Rahim
Date Deposited: 21 May 2026 03:42
Last Modified: 21 May 2026 03:42
URI: http://eprints.usm.my/id/eprint/64257

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