Computation of Semi-Analytical Solutions of Fuzzy Nonlinear Integral Equations
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Date
2020
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Springer
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GOLD
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Abstract
In this article, we use a fuzzy number in its parametric form to solve a fuzzy nonlinear integral equation of the second kind in the crisp case. The main theme of this article is to find a semi-analytical solution of fuzzy nonlinear integral equations. A hybrid method of Laplace transform coupled with Adomian decomposition method is used to find the solution of the fuzzy nonlinear integral equations including fuzzy nonlinear Fredholm integral equation, fuzzy nonlinear Volterra integral equation, and fuzzy nonlinear singular integral equation of Abel type kernel. We also provide some suitable examples to better understand the proposed method.
Description
Shah, Kamal/0000-0002-8851-4844; Ullah, Aman/0000-0003-4021-3599
Keywords
Semi-Analytical Solution, Fuzzy Nonlinear Fredholm Integral Equation, Fuzzy Nonlinear Volterra Integral Equation, Fuzzy Singular Integral Equation, Fuzzy Number, Statistics and Probability, Artificial intelligence, Fuzzy nonlinear Fredholm integral equation, Fuzzy singular integral equation, Fuzzy Differential Equations and Uncertainty Modeling, Quantum mechanics, Theory and Applications of Fractional Differential Equations, Mathematical analysis, QA1-939, FOS: Mathematics, Fuzzy nonlinear Volterra integral equation, Fourier integral operator, Nonlinear Equations, Anomalous Diffusion Modeling and Analysis, Integral equation, Fuzzy number, Random Fuzzy Variables, Summation equation, Physics, Applied Mathematics, Fredholm integral equation, Integral transform, Partial differential equation, Stability of Functional Equations in Mathematical Analysis, Discrete mathematics, Volterra integral equation, Applied mathematics, Computer science, Fuzzy Differential Equations, Fuzzy logic, Daniell integral, Semilinear Differential Equations, Semi-analytical solution, Modeling and Simulation, Physical Sciences, Nonlinear system, Kernel (algebra), Fuzzy set, Adomian decomposition method, Fuzzy Stability, Mathematics, Nonlinear Systems, Singular nonlinear integral equations, fuzzy nonlinear Fredholm integral equation, Fredholm integral equations, fuzzy singular integral equation, Volterra integral equations, Numerical methods for integral equations, fuzzy nonlinear Volterra integral equation, semi-analytical solution, fuzzy number, Fuzzy real analysis, Theory of fuzzy sets, etc.
Turkish CoHE Thesis Center URL
Fields of Science
02 engineering and technology, 0202 electrical engineering, electronic engineering, information engineering
Citation
Ullah, Z...et al. (2020). "Computation of semi-analytical solutions of fuzzy nonlinear integral equations", Advances in Difference Equations, Vol. 2020, No. 1.
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Q1
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4
Source
Advances in Difference Equations
Volume
2020
Issue
1
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