A Solution for Volterra Fractional Integral Equations by Hybrid Contractions

Badr Alqahtani, Hassen Aydi, Erdal Karapınar and Vladimir Rakočević
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Badr Alqahtani: Department of Mathematics, King Saud University, Riyadh 11451, Saudi Arabia
Hassen Aydi: Institut Supérieur d’Informatique et des Techniques de Communication, Université de Sousse, H. Sousse 4000, Tunisia
Erdal Karapınar: China Medical University Hospital, China Medical University, Taichung 40402, Taiwan
Vladimir Rakočević: Faculty of Sciences and Mathematics, University of Niš, Višegradska 33, 18000 Niš, Serbia

Mathematics, 2019, vol. 7, issue 8, 1-10

Abstract: In this manuscript, we propose a solution for Volterra type fractional integral equations by using a hybrid type contraction that unifies both nonlinear and linear type inequalities in the context of metric spaces. Besides this main goal, we also aim to combine and merge several existing fixed point theorems that were formulated by linear and nonlinear contractions.

Keywords: contraction; hybrid contractions; volterra fractional integral equations; fixed point (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
References: View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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