An investigation on boundary controllability for Sobolev-type neutral evolution equations of fractional order in Banach space

The main focus of this paper is on the boundary controllability of fractional order Sobolev-type neutral evolution equations in Banach space. We show our key results using facts from fractional calculus, semigroup theory, and the fixed point method. Finally, we give an example to illustrate the theo...

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Published inAIMS mathematics Vol. 7; no. 7; pp. 11687 - 11707
Main Authors Ma, Yong-Ki, Kumar, Kamalendra, Patel, Rohit, Shukla, Anurag, Nisar, Kottakkaran Sooppy, Vijayakumar, Velusamy
Format Journal Article
LanguageEnglish
Published AIMS Press 01.01.2022
Subjects
boundary controllability
fixed point theorem
fractional integrodifferential system
nonlocal conditions
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Summary:The main focus of this paper is on the boundary controllability of fractional order Sobolev-type neutral evolution equations in Banach space. We show our key results using facts from fractional calculus, semigroup theory, and the fixed point method. Finally, we give an example to illustrate the theory we have established.
ISSN:2473-6988
2473-6988
DOI:10.3934/math.2022651