Kumari, Panda SumatiAlqahtani, ObaidKarapinar, ErdalMathematics2024-07-052024-07-0520182073-899410.3390/sym101206912-s2.0-85058986007https://doi.org/10.3390/sym10120691https://hdl.handle.net/20.500.14411/2799KARAPINAR, ERDAL/0000-0002-6798-3254; Panda, Sumati Kumari/0000-0002-0220-8222In this article, we prove some fixed-point theorems in b-dislocated metric space. Thereafter, we propose a simple and efficient solution for a non-linear integral equation and non-linear fractional differential equations of Caputo type by using the technique of fixed point.eninfo:eu-repo/semantics/openAccessfixed pointb-dislocated metric space (simply b-dislocated metric space)F-contractionnon-linear fractional differential equations of Caputo typeArticleQ2Q21012WOS:00045472510002916