A study on the fuzzy parabolic Volterra partial integro-differential equations

Autor:	Saeid Abbasbandy, E. Qahremani, Tofigh Allahviranloo, N. Ahmady
Rok vydání:	2021
Předmět:	Statistics and Probability 0209 industrial biotechnology 020901 industrial engineering & automation Artificial Intelligence Differential equation 0202 electrical engineering electronic engineering information engineering General Engineering Applied mathematics 020201 artificial intelligence & image processing 02 engineering and technology Fuzzy logic Mathematics
Zdroj:	Journal of Intelligent & Fuzzy Systems. 40:1639-1654
ISSN:	1875-8967 1064-1246
DOI:	10.3233/jifs-201125
Popis:	This paper is concerned with aspects of the analytical fuzzy solutions of the parabolic Volterra partial integro-differential equations under generalized Hukuhara partial differentiability and it consists of two parts. The first part of this paper deals with aspects of background knowledge in fuzzy mathematics, with emphasis on the generalized Hukuhara partial differentiability. The existence and uniqueness of the solutions of the fuzzy Volterra partial integro-differential equations by considering the type of [gH - p]-differentiability of solutions are proved in this part. The second part is concerned with the central themes of this paper, using the fuzzy Laplace transform method for solving the fuzzy parabolic Volterra partial integro-differential equations with emphasis on the type of [gH - p]-differentiability of solution. We test the effectiveness of method by solving some fuzzy Volterra partial integro-differential equations of parabolic type.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::ce1ae038204c8e9aa9e794708a82aa90 https://doi.org/10.3233/jifs-201125 Zobrazit plný text záznamu Plný text ve formátu PDF Plný text ve formátu HTML
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