Kattar Enada Bensatal†, Abdelkrim Salim‡, Mouffak Benchohra§
This paper discusses the existence of solution for integro-differential equations via resolvent operators in Banach space. Our approach is based on a new fixed point theorem with respect to Meir-Keeler condensing operators. An example is given to show the application of our result.
MSC: 45J05, 47G20, 34G20, 37C25, 54H25, 58C30, 47H10, 55M20, 47H08
Keywords: Integro-differential equation; resolvent operator; Meir-Keeler condensing operators.
DOI 10.56082/annalsarscimath.2024.1.43
†nadabensatal@gmail.com Laboratory of Mathematics, Djillali Liabes University of Sidi Bel-Abb`es, P.O. Box 89, Sidi Bel-Abb`es 22000, Algeria
‡salim.abdelkrim@yahoo.com Faculty of Technology, Hassiba Benbouali University of Chlef, P.O. Box 151 Chlef 02000, Algeria
§benchohra@yahoo.com Laboratory of Mathematics, Djillali Liabes University of Sidi Bel-Abb`es, P.O. Box 89, Sidi Bel-Abb`es 22000, Algeria
PUBLISHED in Annals Academy of Romanian Scientists Series on Mathematics and Its Application, Volume 16 no 1, 2024
