Applications of Structural Nabla Derivatives on Time Scales to Dynamic Equations-Reference-Cited by-同舟云学术

Applications of Structural Nabla Derivatives on Time Scales to Dynamic Equations

Published:2024-05-29 Issue:11 Volume:12 Page:1688
ISSN:2227-7390
Container-title:Mathematics
language:en
Short-container-title:Mathematics

Author:

Cherif Amin Benaissa¹,Bendouma Bouharket²^ORCID,Zennir Khaled³⁴^ORCID,Georgiev Svetlin G.⁵,Bouhali Keltoum³,Radwan Taha⁶⁷^ORCID

Affiliation:

1. 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

2. Ibn Khaldoun, Tiaret University, Zaâroura, P.O. Box 78, Tiaret 14000, Algeria

3. Department of Mathematics, College of Science, Qassim University, Buraydah 51452, Saudi Arabia

4. Department of Mathematics, University 20 Août 1955, Skikda 21000, Algeria

5. Department of Mathematics, Sorbonne University, 75005 Paris, France

6. Department of Management Information Systems, College of Business and Economics, Qassim University, Buraydah 51452, Saudi Arabia

7. Department of Mathematics and Statistics, Faculty of Management Technology and Information Systems, Port Said University, Port Said 42511, Egypt

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.

Publisher

MDPI AG

Link

https://www.mdpi.com/2227-7390/12/11/1688/pdf

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