Applications of Structural Nabla Derivatives on Time Scales to Dynamic Equations

Amin Benaissa Cherif, Bouharket Bendouma, Khaled Zennir, Svetlin G. Georgiev, Keltoum Bouhali and Taha Radwan ()
Additional contact information
Amin Benaissa Cherif: Department of Mathematics, Faculty of Mathematics and Informatics, University of Science and Technology of Oran Mohamed-Boudiaf (USTOMB), El Mnaouar, BP 1505, Bir El Djir, Oran 31000, Algeria
Bouharket Bendouma: Ibn Khaldoun, Tiaret University, Zaâroura, P.O. Box 78, Tiaret 14000, Algeria
Khaled Zennir: Department of Mathematics, College of Science, Qassim University, Buraydah 51452, Saudi Arabia
Svetlin G. Georgiev: Department of Mathematics, Sorbonne University, 75005 Paris, France
Keltoum Bouhali: Department of Mathematics, College of Science, Qassim University, Buraydah 51452, Saudi Arabia
Taha Radwan: Department of Management Information Systems, College of Business and Economics, Qassim University, Buraydah 51452, Saudi Arabia

Mathematics, 2024, vol. 12, issue 11, 1-16

Abstract: We present here more general concepts of Hausdorff derivatives (structural Nabla derivatives) on a timescale. We examine structural Nabla integration on temporal scales. Using the fixed-point theorem, we establish adequate criteria for the question of existence and uniqueness of the solution to an initial value problem characterized by structural Nabla derivatives on timescales. Furthermore, some features of the new operator are proven and illustrated by using concrete examples.

Keywords: Hausdorff derivative; existence; structural and fractal derivatives; self-similarity; fractional derivatives; timescales; iterative methods (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
https://www.mdpi.com/2227-7390/12/11/1688/pdf (application/pdf)
https://www.mdpi.com/2227-7390/12/11/1688/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:12:y:2024:i:11:p:1688-:d:1404553

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().