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

Kyle Gardiner¹  Chenkuan Li¹  Rekha Srivastava² 

[1] Department of Mathematics and Computer Science, Brandon University, Brandon, MB R7A 6A9, Canada;Department of Mathematics and Statistics, University of Victoria, Victoria, BC V8W 3R4, Canada;

关键词: Hadamard-type fractional integral;    Leray-Schauder’s alternative;    Babenko’s approach;    multivariate Mittag-Leffler function;   

DOI  :  10.3390/math9212733

来源: DOAJ

【 摘 要 】

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.

【 授权许可】

Unknown