Regularized fractional derivatives in Colombeau algebra | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 27، دوره 7، شماره 1، 2016، صفحه 279-287 اصل مقاله (361.77 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2015.147 | ||
| نویسندگان | ||
| Mohsen Alimohammady* 1؛ Fariba Fattahi Amirdehi2 | ||
| 1Department of Mathematics, University of Mazandaran, Babolsar, Iran | ||
| 2Department of mathematics, University of Mazandaran, babolsar, Iran | ||
| چکیده | ||
| The present study aims at indicating the existence and uniqueness result of system in extended colombeau algebra. The Caputo fractional derivative is used for solving the system of ODEs. In addition, Riesz fractional derivative of Colombeau generalized algebra is considered. The purpose of introducing Riesz fractional derivative is regularizing it in Colombeau sense. We also give a solution to a nonlinear heat equation illustrating the application of the theory. | ||
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