Department of Mathematics, Dr. N.G.P. Arts and Science College, Coimbatore, Tamil Nadu, India
Received: 26th Dec, 2025; Revised: 28th Feb 2026; Accepted: 29th Feb, 2026; Available Online: 30th March, 2026
Fractional differential evolution systems provide a fundamental framework for modeling processes with memory and hereditary effects in infinite-dimensional settings. Although substantial progress has been achieved in establishing existence results for nonlinear fractional systems with nonlocal boundary conditions, most available studies treat non-neutral models and restrict boundary interactions to scalar or constant-coefficient formulations. The analysis of neutral fractional evolution systems coupled with operator-valued integral–multipoint nonlocal boundary functionals remains comparatively underdeveloped, particularly in abstract Banach spaces where boundary operators interact nonlinearly with neutral dynamics. Motivated by this gap, we introduce a class of neutral nonlinear fractional evolution systems governed by the Caputo derivative of order 0<α<1, where the linear component generates a sectorial operator. The boundary condition is described by a nonlinear operator-valued functional combining integral terms and multipoint evaluations, thereby inducing a strongly coupled global interaction between interior evolution and boundary constraints. By constructing the associated fractional resolvent family, the system is reformulated as an equivalent operator equation in an appropriate function space. Existence of mild solutions is established using a measure-of-noncompactness approach together with Sadovskii's fixed-point theorem, while uniqueness is derived under generalized growth conditions without imposing restrictive global Lipschitz assumptions. The obtained results extend several known solvability criteria for non-neutral fractional systems and classical nonlocal boundary conditions. A MATLAB-based computational example is provided to illustrate the applicability of the theoretical framework and to support the uniqueness of solutions.
Index Terms: Neutral fractional evolution systems; Operator-valued nonlocal boundary functional; Mild solutions; Measure of noncompactness; Fixed-point theory
How to cite this article: Vinitha M, Umadevi P. Existence and Uniqueness of Mild Solutions for Neutral Nonlinear Fractional Evolution Systems with Integral–Multipoint Nonlocal Boundary Conditions. Int J Drug Deliv Technol. 2026;16(3): 434-444. DOI: 10.25258/ijddt.16.3.50
Source of support: Nil.
Conflict of interest: None