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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| Format: | Article |
| Language: | English |
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MDPI AG
2021-10-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/9/21/2733 |
| _version_ | 1797512105997369344 |
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| author | Chenkuan Li Rekha Srivastava Kyle Gardiner |
| author_facet | Chenkuan Li Rekha Srivastava Kyle Gardiner |
| author_sort | Chenkuan Li |
| collection | DOAJ |
| 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. |
| first_indexed | 2024-03-10T05:57:11Z |
| format | Article |
| id | doaj.art-c873dd6f913f4a29a65532f474f3cce2 |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-10T05:57:11Z |
| publishDate | 2021-10-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-c873dd6f913f4a29a65532f474f3cce22023-11-22T21:18:04ZengMDPI AGMathematics2227-73902021-10-01921273310.3390/math9212733Analytical Investigation of the Existence of Solutions for a System of Nonlinear Hadamard-Type Integro-Differential Equations Based upon the Multivariate Mittag-Leffler FunctionChenkuan Li0Rekha Srivastava1Kyle Gardiner2Department of Mathematics and Computer Science, Brandon University, Brandon, MB R7A 6A9, CanadaDepartment of Mathematics and Statistics, University of Victoria, Victoria, BC V8W 3R4, CanadaDepartment of Mathematics and Computer Science, Brandon University, Brandon, MB R7A 6A9, CanadaIn 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.https://www.mdpi.com/2227-7390/9/21/2733Hadamard-type fractional integralLeray-Schauder’s alternativeBabenko’s approachmultivariate Mittag-Leffler function |
| spellingShingle | 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 Mathematics Hadamard-type fractional integral Leray-Schauder’s alternative Babenko’s approach multivariate Mittag-Leffler function |
| 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_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_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_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 |
| topic | Hadamard-type fractional integral Leray-Schauder’s alternative Babenko’s approach multivariate Mittag-Leffler function |
| url | https://www.mdpi.com/2227-7390/9/21/2733 |
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