Solvability of functional-integral equations (fractional order) using measure of noncompactness
Reza Arab, Hemant Kumar Nashine, Nguyen Huu Can, Trần Thanh Bình
Abstract
Abstract We investigate the solutions of functional-integral equation of fractional order in the setting of a measure of noncompactness on real-valued bounded and continuous Banach space. We introduce a new μ -set contraction operator and derive generalized Darbo fixed point results using an arbitrary measure of noncompactness in Banach spaces. An illustration is given in support of the solution of a functional-integral equation of fractional order.
Topics & Concepts
MathematicsMeasure (data warehouse)Banach spaceIntegral equationMathematical analysisOrdinary differential equationBounded functionFixed-point theoremOrder (exchange)Functional analysisPartial differential equationC0-semigroupApplied mathematicsDifferential equationComputer scienceFinanceChemistryEconomicsGeneDatabaseBiochemistryFixed Point Theorems AnalysisNonlinear Differential Equations AnalysisFractional Differential Equations Solutions