Application of Fixed Point Theorem to Solvability for Non-Linear Fractional Hadamard Functional Integral Equations
Vijai Kumar Pathak, Lakshmi Narayan Mishra
Abstract
In the present paper, our main work aims to discover the existence result of the fractional order non-linear Hadamard functional integral equations on [1,a] by employing the theory of measure of non-compactness together with the fixed point theory in Banach space. An example is presented to see the validity and practicability of our existence result.
Topics & Concepts
Hadamard transformMathematicsFixed-point theoremHadamard three-lines theoremBanach spaceCompact spaceFixed pointFractional calculusMeasure (data warehouse)Integral equationMathematical analysisApplied mathematicsOrder (exchange)Pure mathematicsHadamard productComputer scienceEconomicsFinanceDatabaseNonlinear Differential Equations AnalysisFractional Differential Equations SolutionsFixed Point Theorems Analysis