EXISTENCE OF SOLUTIONS FOR 2D NONLINEAR FRACTIONAL VOLTERRA INTEGRAL EQUATIONS IN BANACH SPACE

Saini, ParulCakan, UmitDeep, Amar2024-08-042024-08-0420230035-75961945-3795https://doi.org/10.1216/rmj.2023.53.1965https://hdl.handle.net/11616/101769We study the existence of solutions for 2D fractional Volterra integral equations, using Petryshyn's fixed-point theorem and measures of noncompactness in the Banach space C([0, a] x [0, b], R). Our results generalize results gained from earlier studies under some weaker conditions. We present some examples applying our results.eninfo:eu-repo/semantics/closedAccessfixed-point theoremmeasure of noncompactnessfractional integral equationEXISTENCE OF SOLUTIONS FOR 2D NONLINEAR FRACTIONAL VOLTERRA INTEGRAL EQUATIONS IN BANACH SPACEArticle5361965198110.1216/rmj.2023.53.19652-s2.0-85182347782Q2WOS:001133012400011Q2