Solvability and stability of nonlinear hybrid ∆-difference equations of fractional-order-Reference-Cited by-同舟云学术

Solvability and stability of nonlinear hybrid ∆-difference equations of fractional-order

Published:2021-08-20 Issue:0 Volume:0 Page:
ISSN:2191-0294
Container-title:International Journal of Nonlinear Sciences and Numerical Simulation
language:en
Short-container-title:

Author:

Alzabut Jehad¹²^ORCID,George Maria Selvam A.³^ORCID,Vignesh Dhakshinamoorthy³^ORCID,Gholami Yousef⁴^ORCID

Affiliation:

1. Department of Mathematics and General Sciences , Prince Sultan University , Riyadh 11586 , Saudi Arabia

2. Department of Industrial Engineering , OSTİM Technical University , Ankara 06374 , Turkey

3. Department of Mathematics , Sacred Heart College (Autonomous) , Tirupattur 635601 , Tamil Nadu , India

4. Department of Applied Mathematics , Sahand University of Technology , P. O. Box: 51335-1996 , Tabriz , Iran

Abstract

Abstract In this paper, we study a type of nonlinear hybrid Δ-difference equations of fractional-order. The main objective is to establish some stability criteria including the Ulam–Hyers stability, generalized Ulam–Hyers stability together with the Mittag-Leffler–Ulam–Hyers stability for the addressed problem. Prior to the stabilization processes, solvability criteria for the existence and uniqueness of solutions are considered. For this purpose, a hybrid fixed point theorem for triple operators and the Banach contraction mapping principle are applied, respectively. For the sake of illustrating the practical impact of the proposed theoretical criteria, we finish the paper with particular examples.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,General Physics and Astronomy,Mechanics of Materials,Engineering (miscellaneous),Modeling and Simulation,Computational Mechanics,Statistical and Nonlinear Physics

Link

https://www.degruyter.com/document/doi/10.1515/ijnsns-2021-0005/pdf

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