Study of implicit delay fractional differential equations under anti-periodic boundary conditions
Arshad Ali, Kamal Shah, Thabet Abdeljawad
Abstract
Abstract This research work is related to studying a class of special type delay implicit fractional order differential equations under anti-periodic boundary conditions. With the help of classical fixed point theory due to Schauder and Banach, we derive some results about the existence of at least one solution. Further, we also study some results including Hyers–Ulam, generalized Hyers–Ulam, Hyers–Ulam Rassias, and generalized Hyers–Ulam–Rassias stability. We provide some test problems for illustrating our analysis.
Topics & Concepts
MathematicsOrdinary differential equationBoundary value problemMathematical analysisFixed pointType (biology)Stability (learning theory)Banach spaceFixed-point theoremClass (philosophy)Partial differential equationApplied mathematicsDifferential equationComputer scienceBiologyEcologyMachine learningArtificial intelligenceFractional Differential Equations SolutionsNonlinear Differential Equations AnalysisNumerical methods for differential equations