Existence and uniqueness results for initial value problem of nonlinear fractional integro‐differential equation on an unbounded domain in a weighted Banach space
Ali Boulfoul, Brahim Tellab, Naimi Abdellouahab, Khaled Zennir
Abstract
This article is concerned with the existence and uniqueness of solutions for nonlinear fractional integro‐differential equation on an unbounded domain in a weighted Banach space. New results are showed owing to the fixed point theorems of Banach and Krasnoselskii. We illustrate our results by examples to ending our theoretical study.
Topics & Concepts
MathematicsUniquenessBanach spaceDomain (mathematical analysis)Nonlinear systemMathematical analysisInitial value problemFixed-point theoremApplied mathematicsPure mathematicsPhysicsQuantum mechanicsNonlinear Differential Equations AnalysisFractional Differential Equations SolutionsDifferential Equations and Boundary Problems