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Results on Atangana-Baleanu fractional semilinear neutral delay integro-differential systems in Banach space

Yong‐Ki Ma, W. Kavitha Williams, V. Vijayakumar, Kottakkaran Sooppy Nisar, Anurag Shukla

2022Journal of King Saud University - Science15 citationsDOIOpen Access PDF

Abstract

The main focus of this manuscript is centered around Atangana-Baleanu semilinear neutral fractional integro-differential equations with finite delay. The main outcomes are demonstrated using the Mönch fixed point theorem along with its results when the measure of non-compactness collaborates. Eventually, a demonstration example is proposed.

Topics & Concepts

Fixed-point theoremBanach spaceMathematicsCompact spaceSpace (punctuation)Measure (data warehouse)Mathematical analysisDifferential (mechanical device)Focus (optics)Applied mathematicsPoint (geometry)Differential equationPure mathematicsComputer sciencePhysicsGeometryThermodynamicsDatabaseOperating systemOpticsFractional Differential Equations SolutionsNonlinear Differential Equations AnalysisNumerical methods for differential equations