Existence, stability, and controllability of impulsive coupled Langevin \(\psi\)-Hilfer fractional problem

Volume 38, Issue 2, pp 125--159 https://dx.doi.org/10.22436/jmcs.038.02.01
Publication Date: December 09, 2024 Submission Date: July 25, 2024 Revision Date: August 28, 2024 Accteptance Date: September 03, 2024

Authors

H. N. A. Khan - Department of Mathematics, University of Peshawar, 25000, Pakistan. - Department of Basic Sciences and Humanities, CECOS University of IT and Emerging Sciences, Peshawar, Khyber Pakhtunkhwa, Pakistan. A. Zada - Department of Mathematics, University of Peshawar, 25000, Pakistan. A. Kallekh - Department of Mathematics, Faculty of Science, King Khalid University, Abha 61413, Saudi Arabia. I-L. Popa - Department of Computing, Mathematics and Electronics, Alba Iulia, 510 0 09, Romania. - Faculty of Mathematics and Computer Science, Transilvania University of Brasov, Iuliu Maniu Street 50, 500091 Brasov, Romania. J. Zhang - Engineering department, Anhui Sanlian University, China.


Abstract

This paper investigates a coupled Langevin \(\psi\)-Hilfer fractional problem in a Banach space with instantaneous impulsive conditions. By using the theory of fixed point theorems, we are able to obtain the uniqueness and existence results. We also talk about Ulam-Hyers stability and controllability in a similar way. In order to demonstrate the veracity of the acquired results, we also provide an example.


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ISRP Style

H. N. A. Khan, A. Zada, A. Kallekh, I-L. Popa, J. Zhang, Existence, stability, and controllability of impulsive coupled Langevin \(\psi\)-Hilfer fractional problem, Journal of Mathematics and Computer Science, 38 (2025), no. 2, 125--159

AMA Style

Khan H. N. A., Zada A., Kallekh A., Popa I-L., Zhang J., Existence, stability, and controllability of impulsive coupled Langevin \(\psi\)-Hilfer fractional problem. J Math Comput SCI-JM. (2025); 38(2):125--159

Chicago/Turabian Style

Khan, H. N. A., Zada, A., Kallekh, A., Popa, I-L., Zhang, J.. "Existence, stability, and controllability of impulsive coupled Langevin \(\psi\)-Hilfer fractional problem." Journal of Mathematics and Computer Science, 38, no. 2 (2025): 125--159


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