On the Solutions of a Class of Discrete PWC Systems Modeled with Caputo-Type Delta Fractional Difference Equations

Autor:	Marius-F. Danca, Jagan Mohan Jonnalagadda
Jazyk:	angličtina
Rok vydání:	2023
Předmět:	Caputo-type delta fractional difference Cellina’s theorem discrete PWC system discrete fractional PWC systems Thermodynamics QC310.15-319 Mathematics QA1-939 Analysis QA299.6-433
Zdroj:	Fractal and Fractional, Vol 7, Iss 4, p 304 (2023)
Druh dokumentu:	article
ISSN:	2504-3110 60286792
DOI:	10.3390/fractalfract7040304
Popis:	In this paper, it is shown that a class of discrete Piece Wise Continuous (PWC) systems with Caputo-type delta fractional difference may not have solutions. To overcome this obstacle, the discontinuous problem is restarted as a continuous fractional problem. First, the single-valued PWC problem is transformed into a set-valued one via Filippov’s theory, after which Cellina’s theorem allows the restart of the problem into a single-valued continuous one. A numerical example is proposed and analyzed.
Databáze:	Directory of Open Access Journals
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