The Impulsive Coupled Langevin ψ-Caputo Fractional Problem with Slit-Strip-Generalized-Type Boundary Conditions-Reference-Cited by-同舟云学术

The Impulsive Coupled Langevin ψ-Caputo Fractional Problem with Slit-Strip-Generalized-Type Boundary Conditions

Published:2023-11-25 Issue:12 Volume:7 Page:837
ISSN:2504-3110
Container-title:Fractal and Fractional
language:en
Short-container-title:Fractal Fract

Author:

Ali Khan Haroon Niaz¹²^ORCID,Zada Akbar¹^ORCID,Popa Ioan-Lucian³⁴^ORCID,Ben Moussa Sana⁵^ORCID

Affiliation:

1. Department of Mathematics, University of Peshawar, Peshawar 25120, Khyber Pakhtunkhwa, Pakistan

2. Department of Basic Sciences and Humanities, CECOS University of IT and Emerging Sciences, Peshawar 25000, Khyber Pakhtunkhwa, Pakistan

3. Department of Computing, Mathematics and Electronics, “1 Decembrie 1918” University of Alba Iulia, 510009 Alba Iulia, Romania

4. Faculty of Mathematics and Computer Science, Transilvania University of Brasov, Iuliu Maniu Street 50, 500091 Brasov, Romania

5. Faculty of Science and Arts, Mohail Asser, King Khalid University, Abha 62529, Saudi Arabia

Abstract

In this paper, the existence of a unique solution is established for a coupled system of Langevin fractional problems of ψ-Caputo fractional derivatives with generalized slit-strip-type integral boundary conditions and impulses using the Banach contraction principle. We also find at least one solution to the aforementioned system using some assumptions and Schaefer’s fixed point theorem. After that, Ulam–Hyers stability is discussed. Finally, to provide additional support for the main results, pertinent examples are presented.

Funder

Deanship of Scientific Research at King Khalid University through the large group Research Project

Publisher

MDPI AG

Subject

Statistics and Probability,Statistical and Nonlinear Physics,Analysis

Link

https://www.mdpi.com/2504-3110/7/12/837/pdf

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