| Autor: |
Alshbeel, Abdallah, Azmi, Amirah, Alomari, A. K. |
| Předmět: |
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| Zdroj: |
Results in Nonlinear Analysis; 2023, Vol. 6 Issue 4, p157-176, 20p |
| Abstrakt: |
Fractional derivative gives important tools to fit the real data with mathematical models because of the fractional parameters. This article introduces an algorithm for the approximation of solutions to linear and nonlinear fuzzy fractional initial value problems, specifically those involving the Caputo-Katugampola (CK) derivative, a generalized fractional derivative. The CK fractional derivative, characterized by two parameters, extends the capabilities of Caputo and Caputo-Hadamard fractional derivatives. The Optimal Homotopy Asymptotic Method (OHAM) is employed as an approximate analytic technique, offering multiple convergent control parameters to fine-tune solution convergence and accuracy. The article also addresses the representation of environmental uncertainty within the solution using Zadeh's fuzzy theory extension principle. This algorithm not only introduces the fuzzy fractional differential with the CK derivative but also provides a convergent analytic solution with minimal residual error. This contribution aims to support researchers in refining mathematical models to better align with real-world data. Three examples are considered to demonstrate the efficiency of the algorithm with several figures and tables. [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
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