Analysis and numerical solution of the generalized proportional fractional Cauchy problem

Autor:	Abdellatif Ben Makhlouf, A. M. Nagy, Dumitru Baleanu, Djalal Boucenna
Rok vydání:	2021
Předmět:	Cauchy problem Numerical Analysis Picard–Lindelöf theorem Applied Mathematics Numerical technique Cauchy distribution 010103 numerical & computational mathematics Derivative 01 natural sciences 010101 applied mathematics Computational Mathematics Convergence (routing) Applied mathematics 0101 mathematics Mathematics
Zdroj:	Applied Numerical Mathematics. 167:173-186
ISSN:	0168-9274
Popis:	In this paper, we explore the existence and uniqueness theorem for a problem of the fractional Cauchy form, with dependence on the generalized proportional Caputo derivative. Furthermore, a new numerical technique is presented based on a decomposition formula for the generalized proportional Caputo derivative. Convergence analysis of the proposed technique is proved. Finally, numerical results are obtained to confirm the validity of the proposed method.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::45cb56add0589313f65daeed8617cc72 https://doi.org/10.1016/j.apnum.2021.04.015 Zobrazit plný text záznamu Full Text from ScienceDirect