Exploration on a class of impulsive delay integro-differential systems with fractional boundary conditions

M. Latha Maheswari, R. Nandhini and Mohammad Sajid

Mathematics and Computers in Simulation (MATCOM), 2026, vol. 243, issue C, 327-338

Abstract: This study investigates the existence and uniqueness of the solution for the boundary value problem (BVP) involving integro-impulsive delay differential equations with Caputo fractional derivatives. The problem incorporates nonlocal and Riemann–Liouville integral boundary conditions. Using the Banach contraction principle, we demonstrate the existence of a unique solution for this fractional BVP. Additionally, we provided numerical examples with graphical representations to illustrate and validate the theoretical results.

Keywords: Fractional derivatives; Nonlocal condition; Boundary value problem; Integro-differential equations; Impulse condition (search for similar items in EconPapers)
Date: 2026
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:243:y:2026:i:c:p:327-338

DOI: 10.1016/j.matcom.2025.11.036

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