New View for Volterra Integral Equation | ||||
| Delta University Scientific Journal | ||||
| Volume 6, Issue 1, April 2023, Page 278-291 PDF (586.33 K) | ||||
| Document Type: Original research papers | ||||
| DOI: 10.21608/dusj.2023.291071 | ||||
 View on SCiNiTO | ||||
| Authors | ||||
I. L. EL-Kalla1; M. Nayle  2; Reda Abdo Abd-Elmoem 3; Marwa Shehata 4
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| 1Faculty of Engineering, Mansoura University, Mansoura, Egypt | ||||
| 2Faculty of Engineering, Tanta University, Tanta, Egypt | ||||
| 3Faculty of Engineering, Mansoura University, Mansoura, Egypt. | ||||
| 4Faculty of Engineering, Delta University for Science and Technology, Gamasa, Egypt | ||||
| Abstract | ||||
| In this paper, can introduce transform equations that change integral equations into differential equations that are translated on the fuzzy form (FH). using fuzzy Riemann (FR), fuzzy Aumann (FA), and fuzzy Henstock. The algorithm that could solve a Volterra-type integral equation (VIE) was applied to the earlier forms which call triangular fuzzy function to find the fuzzy solution. We present solution as fuzzy functions such that each function satisfies the initial value problem by some membership degree. Some specific examples were provided to fulfil the effectiveness approach. | ||||
| Keywords | ||||
| Volterra fuzzy integral equation. fuzzy differential equation. Triangular fuzzy number | ||||
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