Solutions of Fuzzy Fractional Abel Differential Equations using Residual Power Series Method

P. Prakash; N. Nithyadevi

doi:https://doi.org/10.14445/22315373/IJMTT-V69I3P506

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 69 | Issue 3 | Year 2023 | Article Id. IJMTT-V69I3P506 | DOI : https://doi.org/10.14445/22315373/IJMTT-V69I3P506

Solutions of Fuzzy Fractional Abel Differential Equations using Residual Power Series Method

P. Prakash, N. Nithyadevi

Received	Revised	Accepted	Published
06 Feb 2023	07 Mar 2023	20 Mar 2023	31 Mar 2023

Abstract

This paper describes the computed approach of such fuzzy fractional Abel differential equation (FFADE) according to a specific make using the extended power series (PS) formula in case of nonlinear. The methodology is based on applying representational processing to create a fractional power series solution in the form of a residual power series (RPS) with the smallest number of computations possible. The suggested approach is consistent with the initial problem difficulty, and the results are promising. The effective computational examples offered to ensure the method and explain the numerical expressions of the analytic solution to its potency, flexibility, and efficiency towards answering similar fractional equations. To demonstrate answer, visual and numerical data were provided and statistically evaluated.

Keywords

Abel initial value problems, Fuzzy, Fractional differential equations, Strongly generalized differentiability, Residual power series.

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Citation :

P. Prakash, N. Nithyadevi, "Solutions of Fuzzy Fractional Abel Differential Equations using Residual Power Series Method," International Journal of Mathematics Trends and Technology (IJMTT), vol. 69, no. 3, pp. 39-49, 2023. Crossref, https://doi.org/10.14445/22315373/IJMTT-V69I3P506