Existence results of Atangana-Baleanu fractional integro-differential inclusions of Sobolev type
V. Vijayaraj, C. Ravichandran, Panumart Sawangtong, Kottakkaran Sooppy Nisar
Abstract
In this article, we scrutinise the study of the existence of Sobolev type Atangana-Baleanu fractional integro-differential inclusions in Banach space. The results are gained by using Martelli’s fixed point theorem and ρ-resolvent operators. An example is given for theoretical result.
Topics & Concepts
MathematicsSobolev spaceResolventType (biology)Banach spaceMathematical analysisFixed-point theoremDifferential inclusionFixed pointDifferential (mechanical device)Pure mathematicsEngineeringEcologyAerospace engineeringBiologyFractional Differential Equations SolutionsNumerical methods in engineeringNonlinear Differential Equations Analysis