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ISSN:2164-6376 (print)
ISSN:2164-6414 (online)
Discontinuity, Nonlinearity, and Complexity

Dimitry Volchenkov (editor), Dumitru Baleanu (editor)

Dimitry Volchenkov(editor)

Mathematics & Statistics, Texas Tech University, 1108 Memorial Circle, Lubbock, TX 79409, USA

Email: dr.volchenkov@gmail.com

Dumitru Baleanu (editor)

Cankaya University, Ankara, Turkey; Institute of Space Sciences, Magurele-Bucharest, Romania

Email: dumitru.baleanu@gmail.com

New Results on Controllability Analysis for Sobolev-Type Volterra-Fredholm Functional Integro-Differential Equation in Banach Space

Discontinuity, Nonlinearity, and Complexity 13(2) (2024) 247--256 | DOI:10.5890/DNC.2024.06.003

K. Kaliraj$^{1}$, E. Thilakraj$^1$, C. Ravichandran$^2$

$^1$ Ramanujan Institute for Advanced Study in Mathematics, University of Madras, Chennai 600005, Tamil Nadu, India

$^2$ Department of Mathematics, Kongunadu Arts and Science College, Coimbatore 641029, Tamil Nadu, India

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Abstract

This manuscript analyses the controllability of a certain classes of sobolev-type Volterra-Fredholm functional Integro-Differential Equations (SVFIDE) of fractional order via Caputo fractional derivative involving finite delay with initial condition. We have empolyed the precompactness of Arzela-Ascoli theorem along with the standard fixed point method to attain the desired result. Finally, we present an example to demonstrate the validity of our result.

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