Ibrahim, Rabha W.Baleanu, Dumitru2024-01-172025-09-182024-01-172025-09-182023Baleanu, D.; Ibrahim, Rabha W. (2023). "Optical applications of a generalized fractional integro-differential equation with periodicity", AIMS Mathematics, Vol.8, No.5, pp.11953-11972.2473-6988https://doi.org/10.3934/math.2023604https://hdl.handle.net/20.500.12416/14927Impulsive is the affinity to do something without thinking. In this effort, we model a mathematical formula types integro-differential equation (I-DE) to describe this behavior. We investigate periodic boundary value issues in Banach spaces for fractional a class of I-DEs with non -quick impulses. We provide numerous sufficient conditions of the existence of mild outcomes for I-DE utilizing the measure of non-compactness, the method of resolving domestic, and the fixed point result. Lastly, we illustrate a set of examples, which is given to demonstrate the investigations key findings. Our findings are generated some recent works in this direction.eninfo:eu-repo/semantics/openAccessFractional CalculusFractional Differential EquationFractional Integral OperatorFractionalDifferential OperatorArticle10.3934/math.20236042-s2.0-85150454185