TY - JOUR
T1 - New results on coupled Caputo-Hadamard fractional neutral differential equations supplemented by unbounded delays
AU - Mani, Gunaseelan
AU - Lakshmi, S. R.Anantha
AU - Thabet, Sabri T.M.
AU - Kedim, Imed
AU - Vivas-Cortez, Miguel
N1 - Publisher Copyright:
©2025 All rights reserved.
PY - 2025
Y1 - 2025
N2 - This paper examines a new coupled system of nonlinear fractional differential equations involving sequential CaputoHadamard 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 (HU) and its generalized form of stability for the proposed system. The main results are illustrated through a practical example.
AB - This paper examines a new coupled system of nonlinear fractional differential equations involving sequential CaputoHadamard 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 (HU) and its generalized form of stability for the proposed system. The main results are illustrated through a practical example.
KW - Caputo-Hadamard fractional calculus
KW - Hyers-Ulam stability
KW - existence and uniqueness
KW - fixed point theorem
KW - initial value problem
UR - http://www.scopus.com/inward/record.url?scp=105003978988&partnerID=8YFLogxK
U2 - 10.22436/jmcs.039.03.05
DO - 10.22436/jmcs.039.03.05
M3 - Article
AN - SCOPUS:105003978988
SN - 2008-949X
VL - 39
SP - 361
EP - 375
JO - Journal of Mathematics and Computer Science
JF - Journal of Mathematics and Computer Science
IS - 3
ER -