Publication: Enhanced Optimal Homotopy Asymptotic Multiple Parameters Method For Solving Fuzzy Fractional Differential Equations
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Date
2025-09
Authors
Alshbeel, Abdallah Eshbeel Abdallah
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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.
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Keywords
Differential equations , Fuzzy mathematics