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Homotopy Analysis Method for Solving Fuzzy Fractional Volterra-Fredholmintegro-differential Equations

Year: 2024

Type: article

Abstract: The fuzzy fractional Volterra-Fredholm integro-differential equation is introduced by using the fuzzy Caputo derivative under the generalized Hukuhara difference, and the existence and uniqueness of the solution of this equation are proved by using the fixed point theorem. The homotopy analysis method is used to study the numerical solutions of linear and nonlinear fuzzy fractional integro-differential equations. Several numerical examples are given to illustrate the effectiveness and applica-bility of the method.

Source: Academic Journal of Science and Technology

DOI: 10.54097/sy0pgm77

Author: Qin Chen

Institution: China West Normal University

Language: English

Topic: Fuzzy Systems and Optimization

Subfield: Statistics and Probability

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4401784516

FWCI:

Cites: 25

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Related to: 10