On $ \mathcal{A B C} $ coupled Langevin fractional differential equations constrained by Perov's fixed point in generalized Banach spaces-Reference-Cited by-同舟云学术

On $ \mathcal{A B C} $ coupled Langevin fractional differential equations constrained by Perov's fixed point in generalized Banach spaces

Published:2023 Issue:5 Volume:8 Page:12109-12132
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Boutiara Abdelatif¹,Matar Mohammed M.²,Alzabut Jehad³⁴,Samei Mohammad Esmael⁵,Khan Hasib³⁶

Affiliation:

1. Laboratory of Mathematics and Applied Sciences, University of Ghardaia, BP 455, Ghardaia, Algéria

2. Department of Mathematics, Al-Azhar University-Gaza, State of Palestine

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

4. Department of Industrial Engineering, OSTİM Technical University, 06374 Ankara, Türkiye

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

6. Department of Mathematics, Shaheed Benazir Bhutto University, Sheringal, PO 18000 Dir Upper, Khyber Pakhtunkhwa, Pakistan

Abstract

<abstract><p>Nonlinear differential equations are widely used in everyday scientific and engineering dynamics. Problems involving differential equations of fractional order with initial and phase changes are often employed. Using a novel norm that is comfortable for fractional and non-singular differential equations containing Atangana-Baleanu-Caputo fractional derivatives, we examined a new class of initial values issues in this study. The Perov fixed point theorems that are utilized in generalized Banach spaces form the foundation for the new findings. Examples of the numerical analysis are provided in order to safeguard and effectively present the key findings.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

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