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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dc.contributor.authorLi, Chenkuan
dc.contributor.authorSrivastava, Rekha
dc.contributor.authorGardiner, Kyle
dc.date.accessioned2021-11-01T20:01:56Z
dc.date.available2021-11-01T20:01:56Z
dc.date.copyright2021en_US
dc.date.issued2021
dc.description.abstractIn 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.en_US
dc.description.reviewstatusRevieweden_US
dc.description.scholarlevelFacultyen_US
dc.description.sponsorshipThis work is supported by the Natural Sciences and Engineering Research Council of Canada (Grant No. 2019-03907).en_US
dc.identifier.citationLi, C., Srivastava, R., & Gardiner, K. (2021). Analytical investigation of the existence of solutions for a system of nonlinear hadamard-type integro-differential equations based upon the multivariate mittag-leffler function. mathematics, 9(2733), 1-10. https://doi.org/10.3390/math9212733en_US
dc.identifier.urihttps://doi.org/10.3390/math9212733
dc.identifier.urihttp://hdl.handle.net/1828/13483
dc.language.isoenen_US
dc.publishermathematicsen_US
dc.subjectHadamard-type fractional integral
dc.subjectLeray-Schauder's alternative
dc.subjectBabenko's approach
dc.subjectmultivariate Mittag-Leffler function
dc.subject.departmentDepartment of Mathematics and Statistics
dc.titleAnalytical Investigation of the Existence of Solutions for a System of Nonlinear Hadamard-Type Integro-Differential Equations Based upon the Multivariate Mittag-Leffler Functionen_US
dc.typeArticleen_US

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