Analytical Investigation of the Existence of Solutions for a System of Nonlinear Hadamard-Type Integro-Differential Equations Based upon the Multivariate Mittag-Leffler Function

In this paper, the authors propose an investigation of the existence of solutions for a system of nonlinear Hadamard-type integro-differential equations in a Banach space. The result derived is new and based upon Babenko’s approach, Leray-Schauder’s nonlinear alternative, and the multivariate Mittag...

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Autores principales:	Chenkuan Li, Rekha Srivastava, Kyle Gardiner
Formato:	article
Lenguaje:	EN
Publicado:	MDPI AG 2021
Materias:	Hadamard-type fractional integral Leray-Schauder’s alternative Babenko’s approach multivariate Mittag-Leffler function Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/c873dd6f913f4a29a65532f474f3cce2
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spelling	oai:doaj.org-article:c873dd6f913f4a29a65532f474f3cce22021-11-11T18:17:02ZAnalytical Investigation of the Existence of Solutions for a System of Nonlinear Hadamard-Type Integro-Differential Equations Based upon the Multivariate Mittag-Leffler Function10.3390/math92127332227-7390https://doaj.org/article/c873dd6f913f4a29a65532f474f3cce22021-10-01T00:00:00Zhttps://www.mdpi.com/2227-7390/9/21/2733https://doaj.org/toc/2227-7390In this paper, the authors propose an investigation of the existence of solutions for a system of nonlinear Hadamard-type integro-differential equations in a Banach space. The result derived is new and based upon Babenko’s approach, Leray-Schauder’s nonlinear alternative, and the multivariate Mittag-Leffler function. Using an illustrative example, a demonstration of the application of the main theorem is also considered.Chenkuan LiRekha SrivastavaKyle GardinerMDPI AGarticleHadamard-type fractional integralLeray-Schauder’s alternativeBabenko’s approachmultivariate Mittag-Leffler functionMathematicsQA1-939ENMathematics, Vol 9, Iss 2733, p 2733 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Hadamard-type fractional integral Leray-Schauder’s alternative Babenko’s approach multivariate Mittag-Leffler function Mathematics QA1-939
spellingShingle	Hadamard-type fractional integral Leray-Schauder’s alternative Babenko’s approach multivariate Mittag-Leffler function Mathematics QA1-939 Chenkuan Li Rekha Srivastava Kyle Gardiner Analytical Investigation of the Existence of Solutions for a System of Nonlinear Hadamard-Type Integro-Differential Equations Based upon the Multivariate Mittag-Leffler Function
description	In this paper, the authors propose an investigation of the existence of solutions for a system of nonlinear Hadamard-type integro-differential equations in a Banach space. The result derived is new and based upon Babenko’s approach, Leray-Schauder’s nonlinear alternative, and the multivariate Mittag-Leffler function. Using an illustrative example, a demonstration of the application of the main theorem is also considered.
format	article
author	Chenkuan Li Rekha Srivastava Kyle Gardiner
author_facet	Chenkuan Li Rekha Srivastava Kyle Gardiner
author_sort	Chenkuan Li
title	Analytical Investigation of the Existence of Solutions for a System of Nonlinear Hadamard-Type Integro-Differential Equations Based upon the Multivariate Mittag-Leffler Function
title_short	Analytical Investigation of the Existence of Solutions for a System of Nonlinear Hadamard-Type Integro-Differential Equations Based upon the Multivariate Mittag-Leffler Function
title_full	Analytical Investigation of the Existence of Solutions for a System of Nonlinear Hadamard-Type Integro-Differential Equations Based upon the Multivariate Mittag-Leffler Function
title_fullStr	Analytical Investigation of the Existence of Solutions for a System of Nonlinear Hadamard-Type Integro-Differential Equations Based upon the Multivariate Mittag-Leffler Function
title_full_unstemmed	Analytical Investigation of the Existence of Solutions for a System of Nonlinear Hadamard-Type Integro-Differential Equations Based upon the Multivariate Mittag-Leffler Function
title_sort	analytical investigation of the existence of solutions for a system of nonlinear hadamard-type integro-differential equations based upon the multivariate mittag-leffler function
publisher	MDPI AG
publishDate	2021
url	https://doaj.org/article/c873dd6f913f4a29a65532f474f3cce2
work_keys_str_mv	AT chenkuanli analyticalinvestigationoftheexistenceofsolutionsforasystemofnonlinearhadamardtypeintegrodifferentialequationsbaseduponthemultivariatemittaglefflerfunction AT rekhasrivastava analyticalinvestigationoftheexistenceofsolutionsforasystemofnonlinearhadamardtypeintegrodifferentialequationsbaseduponthemultivariatemittaglefflerfunction AT kylegardiner analyticalinvestigationoftheexistenceofsolutionsforasystemofnonlinearhadamardtypeintegrodifferentialequationsbaseduponthemultivariatemittaglefflerfunction
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Analytical Investigation of the Existence of Solutions for a System of Nonlinear Hadamard-Type Integro-Differential Equations Based upon the Multivariate Mittag-Leffler Function

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