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Neumann method for solving conformable fractional Volterra integral equations | ||
| Computational Methods for Differential Equations | ||
| مقاله 4، دوره 8، شماره 1، فروردین 2020، صفحه 54-68 اصل مقاله (342.94 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22034/cmde.2019.9498 | ||
| نویسندگان | ||
| Mousa Ilie1؛ Jafar Biazar* 2؛ Zainab Ayati3 | ||
| 1Department of Mathematics, Rasht Branch, Islamic Azad University, Rasht, Iran | ||
| 2Department of Applied Mathematics, Faculty of Mathematical Sciences, University of Guilan, P.O. Box. 41335-1914, Guilan, Rasht, Iran | ||
| 3Department of Engineering sciences, Faculty of Technology and Engineering East of Guilan, University of Guilan P.C.44891-Rudsar-Vajargah,Iran | ||
| چکیده | ||
| This paper deals with the solution of a class of Volterra integral equations in the sense of the conformable fractional derivative. For this goal, the well-organized Neumann method is developed and some theorems related to existence, uniqueness, and sufficient condition of convergence are presented. Some illustrative examples are provided to demonstrate the efficiency of the method in solving conformable fractional Volterra integral equations. | ||
| کلیدواژهها | ||
| Volterra integral equations؛ Conformable fractional derivative؛ Neumann method؛ Existence and uniqueness and sufficient condition of convergence | ||
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