New results on coupled Caputo-Hadamard fractional neutral differential equations supplemented by unbounded delays
Authors
G. Mani
- Department of Mathematics, Saveetha School of Engineering, Saveetha Institute of Medical and Technical Sciences, Saveetha University, Chennai, 602105, Tamilnadu, India.
A. Lakshmi S. R
- Department of Mathematics, Easwari Engineering College, 18 Bharathi Salai, Ramapuram Chennai-600089, Tamil Nadu, India.
S. T. M. Thabet
- Department of Mathematics, Saveetha School of Engineering, Saveetha Institute of Medical and Technical Sciences, Saveetha University, Chennai 602 105, Tamil Nadu, India.
- Department of Mathematics, Radfan University College, University of Lahej, Lahej, Yemen.
- Department of Mathematics, College of Science, Korea University, 145 Anam-ro, Seongbuk-gu, Seoul 02814, Republic of Korea.
I. Kedim
- Department of Mathematics, College of Science and Humanities in Al-Kharj, Prince Sattam Bin Abdulaziz University, Al-Kharj 11942, Saudi Arabia.
M. Vivas-Cortez
- Faculty of Exact and Natural Sciences, School of Physical Sciences and Mathematics, Pontifical Catholic University of Ecuador, Av. 12 de octubre 1076 y Roca, Apartado Postal 17-01-2184, Sede Quito, Ecuador.
Abstract
This paper examines a new coupled system of nonlinear fractional differential equations involving sequential Caputo-Hadamard type fractional derivatives, Hadamard integrals, and unbounded delays. Qualitative theorems such as the existence and uniqueness of solutions are derived by applying Krasnoselskii's and Banach's fixed point techniques. Furthermore, we demonstrate the Hyers-Ulam (\(\text{H}\text{U}\)) and its generalized form of stability for the proposed system. The main results are illustrated through a practical example.
Share and Cite
ISRP Style
G. Mani, A. Lakshmi S. R, S. T. M. Thabet, I. Kedim, M. Vivas-Cortez, New results on coupled Caputo-Hadamard fractional neutral differential equations supplemented by unbounded delays, Journal of Mathematics and Computer Science, 39 (2025), no. 3, 361--375
AMA Style
Mani G., Lakshmi S. R A., Thabet S. T. M., Kedim I., Vivas-Cortez M., New results on coupled Caputo-Hadamard fractional neutral differential equations supplemented by unbounded delays. J Math Comput SCI-JM. (2025); 39(3):361--375
Chicago/Turabian Style
Mani, G., Lakshmi S. R, A., Thabet, S. T. M., Kedim, I., Vivas-Cortez, M.. "New results on coupled Caputo-Hadamard fractional neutral differential equations supplemented by unbounded delays." Journal of Mathematics and Computer Science, 39, no. 3 (2025): 361--375
Keywords
- Caputo-Hadamard fractional calculus
- initial value problem
- existence and uniqueness
- Hyers-Ulam stability
- fixed point theorem
MSC
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