Existence and stability of solutions of a class of hybrid fractional differential equations involving RL-operator
Soumia Ferraoun, Zoubir Dahmani
Abstract
This paper deals with a class of hybrid differential equations of fractional order that involves the Riemann-Liouville integral in its nonlinearities. We generate some sufficient conditions for the existence of at least one solution of the class of hybrid equations. Then, we study the Ulam-Hyers stability of solutions for the considered class.
Topics & Concepts
MathematicsClass (philosophy)Stability (learning theory)Operator (biology)Mathematical analysisDifferential equationOrder (exchange)Applied mathematicsFractional calculusComputer scienceArtificial intelligenceTranscription factorChemistryMachine learningEconomicsGeneBiochemistryFinanceRepressorNonlinear Differential Equations AnalysisFractional Differential Equations SolutionsFunctional Equations Stability Results