Solution of fuzzy singular integral equation with Abel’s type kernel using a novel hybrid method. (English) Zbl 1482.65232
Summary: In this paper, we are applying a novel analytical hybrid method to find the solution of a fuzzy Volterra Abel’s integral equation of the second kind. The fuzzy number is used in its parametric form under which the fuzzy Volterra Abel’s integral equation will be converted into a system of integral equations as in a crisp case. Moreover, to solve the general fuzzy Volterra integral equation with Abel’s-type kernel, and to show that the proposed method is efficient, a few accurate and simple examples are given for the demonstration of our results.
MSC:
| 65R20 | Numerical methods for integral equations |
| 45D05 | Volterra integral equations |
| 45E10 | Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) |
| 26E50 | Fuzzy real analysis |
| 44A10 | Laplace transform |
Keywords:
Laplace transform; Adomian decomposition method; fuzzy Volterra Abel’s integral equation; Laplace Adomian decomposition method; fuzzy numberReferences:
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