A Solution for Volterra Fractional Integral Equations by Hybrid Contractions

By Alqahtani, Aydi, Karapinar, Rakočević. Mathematics, 2019

114 citations recorded by the source corpus.

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.

Subfields: Applied Mathematics, Geometry and Topology, Modeling and Simulation

View Paper: https://www.semanticscholar.org/paper/cfc1c3044b261c9eca42eb489750f38d707325c3

Citations in the corpus

• On the solution of a boundary value problem associated with a fractional differential equation (2020, unknown): “We refer the studies 14,15 for the use of b -metric and nonlinear contractions on fractional differential and integral equations.”