Work

Exact controllability for nonlinear Hilfer fractional Volterra-Fredholm integrodifferential equations $$(1< \varrho < 2)$$ with infinite delay based on the measure of noncompactness

Year: 2026

Type: article

Abstract: In this work, we investigate higher-order Hilfer fractional Volterra-Fredholm integrodifferential (HOHFVFI) equations of order $$1<\varrho <2$$ 1 < ϱ < 2 and type $$\delta \in [0,1]$$ δ ∈ [ 0 , 1 ] with infinite delay. We establish the existence of mild solutions in the presence of infinite delay by using the cosine family and the Laplace transform representations together with a measure of noncompactness and a fixed point argument. Then, we derive exact controllability results for the considered HOHFVFI system with infinite delay. To clarify the proposed structure, we provide an illustrative example to demonstrate the applicability of the theoretical findings.

Source: Fractional Calculus and Applied Analysis

DOI: 10.1007/s13540-026-00520-x

Authors: Marimuthu Mohan Raja, Kalyana Chakravarthy Veluvolu

Institution: Kyungpook National University

Language: English

Topic: Nonlinear Differential Equations Analysis

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $2,590

Funders: National Research Foundation, Kyungpook National University, Ministry of Education, Science and Technology