$New discussion on nonlocal controllability for fractional evolution system of order 1 < r < 2 $1 < r < 2$$
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New discussion on nonlocal controllability for fractional evolution system of order 1 < r < 2 $1 < r < 2$

Abstract In this manuscript, we deal with the nonlocal controllability results for the fractional evolution system of 1 < r < 2 $1< r<2$ in a Banach space. The main results of this article are tested by using fractional calculations, the measure of noncompactness, cosine families, Mainar...

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Autores principales:	M. Mohan Raja, Velusamy Vijayakumar, Anurag Shukla, Kottakkaran Sooppy Nisar, Shahram Rezapour
Formato:	article
Lenguaje:	EN
Publicado:	SpringerOpen 2021
Materias:	Fractional derivative Nonlocal controllability Mild solutions Measure of noncompactness Integrodifferential system Fixed point theorem Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/db1d6c7cdcd84ead92c1191cb1674064
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spelling	oai:doaj.org-article:db1d6c7cdcd84ead92c1191cb16740642021-11-07T12:13:17ZNew discussion on nonlocal controllability for fractional evolution system of order 1 < r < 2 $1 < r < 2$10.1186/s13662-021-03630-31687-1847https://doaj.org/article/db1d6c7cdcd84ead92c1191cb16740642021-11-01T00:00:00Zhttps://doi.org/10.1186/s13662-021-03630-3https://doaj.org/toc/1687-1847Abstract In this manuscript, we deal with the nonlocal controllability results for the fractional evolution system of 1 < r < 2 $1< r<2$ in a Banach space. The main results of this article are tested by using fractional calculations, the measure of noncompactness, cosine families, Mainardi’s Wright-type function, and fixed point techniques. First, we investigate the controllability results of a mild solution for the fractional evolution system with nonlocal conditions using the Mönch fixed point theorem. Furthermore, we develop the nonlocal controllability results for fractional integrodifferential evolution system by applying the Banach fixed point theorem. Finally, an application is presented for drawing the theory of the main results.M. Mohan RajaVelusamy VijayakumarAnurag ShuklaKottakkaran Sooppy NisarShahram RezapourSpringerOpenarticleFractional derivativeNonlocal controllabilityMild solutionsMeasure of noncompactnessIntegrodifferential systemFixed point theoremMathematicsQA1-939ENAdvances in Difference Equations, Vol 2021, Iss 1, Pp 1-19 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Fractional derivative Nonlocal controllability Mild solutions Measure of noncompactness Integrodifferential system Fixed point theorem Mathematics QA1-939
spellingShingle	Fractional derivative Nonlocal controllability Mild solutions Measure of noncompactness Integrodifferential system Fixed point theorem Mathematics QA1-939 M. Mohan Raja Velusamy Vijayakumar Anurag Shukla Kottakkaran Sooppy Nisar Shahram Rezapour New discussion on nonlocal controllability for fractional evolution system of order 1 < r < 2 $1 < r < 2$
description	Abstract In this manuscript, we deal with the nonlocal controllability results for the fractional evolution system of 1 < r < 2 $1< r<2$ in a Banach space. The main results of this article are tested by using fractional calculations, the measure of noncompactness, cosine families, Mainardi’s Wright-type function, and fixed point techniques. First, we investigate the controllability results of a mild solution for the fractional evolution system with nonlocal conditions using the Mönch fixed point theorem. Furthermore, we develop the nonlocal controllability results for fractional integrodifferential evolution system by applying the Banach fixed point theorem. Finally, an application is presented for drawing the theory of the main results.
format	article
author	M. Mohan Raja Velusamy Vijayakumar Anurag Shukla Kottakkaran Sooppy Nisar Shahram Rezapour
author_facet	M. Mohan Raja Velusamy Vijayakumar Anurag Shukla Kottakkaran Sooppy Nisar Shahram Rezapour
author_sort	M. Mohan Raja
title	New discussion on nonlocal controllability for fractional evolution system of order 1 < r < 2 $1 < r < 2$
title_short	New discussion on nonlocal controllability for fractional evolution system of order 1 < r < 2 $1 < r < 2$
title_full	New discussion on nonlocal controllability for fractional evolution system of order 1 < r < 2 $1 < r < 2$
title_fullStr	New discussion on nonlocal controllability for fractional evolution system of order 1 < r < 2 $1 < r < 2$
title_full_unstemmed	New discussion on nonlocal controllability for fractional evolution system of order 1 < r < 2 $1 < r < 2$
title_sort	new discussion on nonlocal controllability for fractional evolution system of order 1 < r < 2 $1 < r < 2$
publisher	SpringerOpen
publishDate	2021
url	https://doaj.org/article/db1d6c7cdcd84ead92c1191cb1674064
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New discussion on nonlocal controllability for fractional evolution system of order 1 < r < 2 $1 < r < 2$

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