Li, ChenkuanSrivastava, RekhaGardiner, Kyle2021-11-012021-11-0120212021Li, 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/math9212733https://doi.org/10.3390/math9212733http://hdl.handle.net/1828/13483In 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.enHadamard-type fractional integralLeray-Schauder's alternativeBabenko's approachmultivariate Mittag-Leffler functionArticleDepartment of Mathematics and Statistics