Existence of Solutions for a Class of Caputo Fractional q-Difference Inclusion on Multifunctions by Computational Results
Mohammad Esmael Samei, GHORBAN KHALILZA DEH RANJBAR, Vahid Hedayati
Abstract
In this paper, we study a class of fractional q-differential inclusion of order 0 < q < 1 under L1-Caratheodory with convex-compact valued properties on multifunctions. By the use of existence of fixed point for closed valued contractive multifunction on a complete metric space which has been proved by Covitz and Nadler, we provide the existence of solutions for the inclusion problem via some conditions. Also, we give a couple of examples to elaborate our results and to present the obtained results by some numerical computations.
Topics & Concepts
MathematicsClass (philosophy)Inclusion (mineral)Regular polygonOrder (exchange)ComputationPure mathematicsMetric (unit)Space (punctuation)Applied mathematicsMathematical analysisGeometryAlgorithmComputer scienceArtificial intelligenceOperations managementGender studiesFinanceEconomicsOperating systemSociologyNonlinear Differential Equations AnalysisFixed Point Theorems AnalysisFractional Differential Equations Solutions