Further results on the existence of solutions for generalized fractional quadratic functional integral equations
Mohammed S. Abdo
Abstract
This paper discusses some existence results for at least one continuous solution for generalized fractional quadratic functional integral equations. Some results on nonlinear functional analysis including Schauder fixed point theorem are applied to establish the existence result for proposed equations. We improve and extend the literature by incorporated some well-known and commonly cited results as special cases in this topic. Further, we prove the existence of maximal and minimal solutions for these equations.
Topics & Concepts
MathematicsFixed-point theoremQuadratic equationNonlinear systemIntegral equationApplied mathematicsFractional calculusFunctional equationMathematical analysisPartial differential equationPhysicsQuantum mechanicsGeometryNonlinear Differential Equations AnalysisFixed Point Theorems AnalysisFractional Differential Equations Solutions