Scipediacontent: Scipediacontent moved page Draft content 586692514 to Manigandan et al 2026b

2026-05-21T08:25:08Z

Scipediacontent moved page Draft content 586692514 to Manigandan et al 2026b

Scipediacontent: Created page with " == Abstract ==
This paper establishes a comprehensive analysis of a coupled system of nonlinear Hadamard-type fractional differential equations subject to generalized non..."

2026-05-21T08:25:05Z

Created page with " == Abstract == <p>This paper establishes a comprehensive analysis of a coupled system of nonlinear Hadamard-type fractional differential equations subject to generalized non..."

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== Abstract ==

<p>This paper establishes a comprehensive analysis of a coupled system of nonlinear Hadamard-type fractional differential equations subject to generalized nonlocal integral boundary conditions. The distinct logarithmic kernel of the Hadamard derivative makes this framework particularly suitable for modeling scale-invariant processes and ultraslow diffusion phenomena. The existence and uniqueness of solutions are rigorously investigated using fixed point theory: Banach’s contraction principle ensures uniqueness, while the Leray-Schauder nonlinear alternative guarantees existence under more general growth conditions. Furthermore, the system is proven to be Ulam-Hyers stable, ensuring that approximate solutions remain close to exact solutions, which is crucial for the robustness of the model in practical applications. The theoretical findings are effectively validated through two detailed numerical examples, demonstrating the applicability of the established results to different classes of nonlinearities.OPEN ACCESS Received: 22/08/2025 Accepted: 03/11/2025 Published: 23/01/2026</p>

== Document ==
<pdf>Media:Draft_content_586692514-2787-document.pdf</pdf>

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Manigandan et al 2026b - Revision history

Scipediacontent: Scipediacontent moved page Draft content 586692514 to Manigandan et al 2026b

Scipediacontent: Created page with " == Abstract == This paper establishes a comprehensive analysis of a coupled system of nonlinear Hadamard-type fractional differential equations subject to generalized non..."

Scipediacontent: Created page with " == Abstract ==
This paper establishes a comprehensive analysis of a coupled system of nonlinear Hadamard-type fractional differential equations subject to generalized non..."