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Hybrid fixed point theorem for abstract measure Integro-differential equation
International Journal of Statistics and Applied Mathematics · 2018 · Vol. 3(1) · pp. 101–106
Abstract
In this paper, an existence theorem for an abstract measure integro-differential equation is proved via a nonlinear alternative of Leray-Schauder type. An existence result is also proved for extremal solutions for Caratheodory as well as discontinuous cases of the nonlinearities involved in the equations, an example is also proved to illustrate the hypothesis and abstract theory developed in this paper.
Nonlinear Differential Equations AnalysisDifferential Equations and Numerical MethodsFractional Differential Equations SolutionsMathematicsFixed-point theoremMeasure (data warehouse)Nonlinear systemDifferential equationMathematical analysisSchauder fixed point theoremType (biology)Integro-differential equationPicard–Lindelöf theorem
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