Existence of measure pseudo-almost automorphic functions and applications to impulsive integro-differential equation

V Kavitha; Dumitru Baleanu; Soumya George; J Grayna

doi:10.1063/5.0060319

Existence of measure pseudo-almost automorphic functions and applications to impulsive integro-differential equation

Chaos. 2021 Sep;31(9):093126. doi: 10.1063/5.0060319.

Authors

V Kavitha¹, Dumitru Baleanu², Soumya George¹, J Grayna¹

Affiliations

¹ Department of Mathematics, Karunya Institute of Technology and Sciences (formerly Karunya University), Karunya Nagar, Coimbatore 641 114, Tamil Nadu, India.
² Department of Mathematics and Computer Sciences, Faculty of Arts and Sciences, Cankaya University, 06530 Ankara, Turkey and Institute of Space Sciences, Magurele-Bucharest, Romania.

PMID: 34598471
DOI: 10.1063/5.0060319

Abstract

This article's main objective is to establish the measure pseudo-almost automorphic solution of an integro-differential equation with impulses. We develop the existence results based on the Banach contraction principle mapping and Krasnoselskii and Krasnoselskii-Schaefer type fixed point theorems. Finally, some examples are given to illustrate the significance of our theoretical findings.