Existence, uniqueness, and Hyers-Ulam stability of abstract neutral differential equation containing state-dependent fractional integrable impulses
Volume 34, Issue 2, pp 99--115
https://dx.doi.org/10.22436/jmcs.034.02.01
Publication Date: February 28, 2024
Submission Date: October 02, 2023
Revision Date: December 11, 2023
Accteptance Date: December 19, 2023
Authors
B. Pervaiz
- Department of Mathematics, University of Peshawar, 25000, Pakistan.
A. Zada
- Department of Mathematics, University of Peshawar, 25000, Pakistan.
I.-L. Popa
- Department of Computing, Mathematics and Electronics, ``1 Decembrie 1918'' University of Alba Iulia, Alba Iulia, 510 0 09, Romania.
- Romania and Faculty of Mathematics and Computer Science, Transilvania University of Brasov, Iuliu Maniu Street 50, 500091 Brasov, Romania.
A. Kallekh
- Faculty of Science and Arts, Mohail Asser, King Khalid University, Saudi Arabia.
Abstract
This article focuses on the existence, uniqueness as well as regularity of solution of abstract neutral differential equation containing state-dependent
fractional integrable impulses. Furthermore, we also examine Hyers-Ulam stability using the properties of analytic semigroup, abstract Gronwall lemma and fixed point technique. An example is presented at the end.
Share and Cite
ISRP Style
B. Pervaiz, A. Zada, I.-L. Popa, A. Kallekh, Existence, uniqueness, and Hyers-Ulam stability of abstract neutral differential equation containing state-dependent fractional integrable impulses, Journal of Mathematics and Computer Science, 34 (2024), no. 2, 99--115
AMA Style
Pervaiz B., Zada A., Popa I.-L., Kallekh A., Existence, uniqueness, and Hyers-Ulam stability of abstract neutral differential equation containing state-dependent fractional integrable impulses. J Math Comput SCI-JM. (2024); 34(2):99--115
Chicago/Turabian Style
Pervaiz, B., Zada, A., Popa, I.-L., Kallekh, A.. "Existence, uniqueness, and Hyers-Ulam stability of abstract neutral differential equation containing state-dependent fractional integrable impulses." Journal of Mathematics and Computer Science, 34, no. 2 (2024): 99--115
Keywords
- Analytic semigroup
- mild solution
- impulsive differential equation
MSC
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