Analytical Investigation of the Existence of Solutions for a System of Nonlinear Hadamard-Type Integro-Differential Equations Based upon the Multivariate Mittag-Leffler Function
Date
2021
Authors
Li, Chenkuan
Srivastava, Rekha
Gardiner, Kyle
Journal Title
Journal ISSN
Volume Title
Publisher
mathematics
Abstract
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.
Description
Keywords
Hadamard-type fractional integral, Leray-Schauder's alternative, Babenko's approach, multivariate Mittag-Leffler function
Citation
Li, 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/math9212733