Solvability of a ϱ-Hilfer Fractional Snap Dynamic System on Unbounded Domains-Reference-Cited by-同舟云学术

Solvability of a ϱ-Hilfer Fractional Snap Dynamic System on Unbounded Domains

Published:2023-08-07 Issue:8 Volume:7 Page:607
ISSN:2504-3110
Container-title:Fractal and Fractional
language:en
Short-container-title:Fractal Fract

Author:

Thabet Sabri T. M.¹^ORCID,Vivas-Cortez Miguel²^ORCID,Kedim Imed³^ORCID,Samei Mohammad Esmael⁴^ORCID,Ayari M. Iadh⁵⁶

Affiliation:

1. Department of Mathematics, Radfan University College, University of Lahej, Lahej 73560, Yemen

2. Faculty of Exact and Natural Sciences, School of Physical Sciences and Mathematics, Pontifical Catholic University of Ecuador, Av. 12 de Octubre 1076 y Roca, Quito 170143, Ecuador

3. Department of Mathematics, College of Science and Humanities in Al-Kharj, Prince Sattam Bin Abdulaziz University, Al-Kharj 11942, Saudi Arabia

4. Department of Mathematics, Faculty of Basic Science, Bu-Ali Sina University, Hamedan 65178-38695, Iran

5. Department of Math and Sciences, Community College of Qatar, Doha 7344, Qatar

6. Institut National Des Sciences Applique’e et de Technologie, Carthage University, Tunis 1054, Tunisia

Abstract

This paper is devoted to studying the ϱ-Hilfer fractional snap dynamic system under the ϱ-Riemann–Liouville fractional integral conditions on unbounded domains [a,∞),a≥0, for the first time. The results concerning the existence and uniqueness, along with the Ulam–Hyers, Ulam–Hyers–Rassias, and semi-Ulam–Hyers–Rassias stabilities, are established in an appropriate special Banach space according to fractional calculus, fixed point theory, and nonlinear analysis. At the end, a numerical example is presented for the interpretation of the main results.

Funder

RESULTADOS CUALITATIVOS DE ECUACIONES DIFERENCIALES FRACCIONARIAS LOCALES Y DESIGUALDADES INTEGRALES Cod

Prince Sattam bin Abdulaziz University

Publisher

MDPI AG

Subject

Statistics and Probability,Statistical and Nonlinear Physics,Analysis

Link

https://www.mdpi.com/2504-3110/7/8/607/pdf

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