Latha Maheswari, M and Nandhini, R (2025) Solvability of nonlocal boundary value problems for fractional delay integro-differential equations by using fixed-point technique. Solvability of nonlocal boundary value problems for fractional delay integro-differential equations by using fixed-point technique, 19: 208. pp. 1-23.

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Abstract

In this work, we investigate a class of fractional delay integro-differential equations
of Caputo type subject to integral boundary conditions. Using the Burton-Kirk fixed
point theorem, we establish sufficient conditions ensuring the existence of solutions,
while uniqueness is verified via the Banach contraction principle. The framework
involves fractional-order derivatives with delays and aRiemann-Liouville type integral
term under nonlocal boundary constraints. To demonstrate the applicability of our
results, a concrete example is provided, supported by numerical analysis and graphical
representations for enhanced understanding.

Item Type: Article
Uncontrolled Keywords: Fractional differential equations · Boundary value problem · Integro-differential equations · Nonlocal condition
Divisions: PSG College of Arts and Science > Department of Mathematics
Depositing User: Dr. B Sivakumar
Date Deposited: 29 Nov 2025 06:25
Last Modified: 29 Nov 2025 06:25
URI: https://ir.psgcas.ac.in/id/eprint/2542

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