Solving of stochastic Voltaire integral equations by fuzzy artificial neural network method

Subject Areas : Statistics

Hadi Abtahi ¹ ( Department of Mathematics, Faculty of Science, Central Tehran Branch, Islamic Azad University, Tehran, IranDepartment of Mathematics, Faculty of Science, Central Tehran Branch, Islamic Azad University, Tehran, Iran )
Hamid Reza Rahimi ² ( Department of Mathematics, Faculty of Science, Central Tehran Branch, Islamic Azad University, Tehran, Iran )
Maryam mosleh ³ ( Department of Mathematics, Firoozkooh Branch, Islamic Azad University, Firoozkooh, Iran )

Received: 2020-09-08 Accepted : 2020-10-06 Published : 2021-09-23

Keywords: معادلات انتگرال ولترای تصادفی. معادله انتگرال, شبکه عصبی مصنوعی فازی,

Abstract :

Voltaire integral equations as the output of problems in basic sciences and engineering have a special application in advancing the solution of complex problems. One of the most widely used types, which consists of a random process under external motion, is the equations of random Volta integral. Solving this type of equation has always been a challenge for researchers. On the other hand, with the development of artificial intelligence and the presentation of fuzzy artificial neural network method as a model inspired by the process of thinking and analysis in the human brain, advanced models of algorithms have been designed. Some of these learning algorithms have been used in fuzzy artificial neural networks to solve equations. In this paper, using this method and designing a learning algorithm, the random equations of random Voltaire type is investigated. The method presented in this article, in addition to being more accurate than the previous methods, posseses more speed for solving problem. This topic provides an acceptable level of confidence for researchers when dealing with such issues.

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