Implicit fractional differential equation with anti-periodic boundary condition involving Caputo-Katugampola type
Saleh S. Redhwan, Sadikali L. Shaikh, Mohammed S. Abdo
Abstract
This paper deals with a nonlinear implicit fractional differential equation with the anti-periodic boundary condition involving the Caputo-Katugampola type. The existence and uniqueness results are established by applying the fixed point theorems of Krasnoselskii and Banach. Further, by using generalized Gronwall inequality the Ulam-Hyers stability results are proved. To demonstrate the effectiveness of the main results, appropriate examples are granted.
Topics & Concepts
MathematicsUniquenessFixed-point theoremBoundary value problemGronwall's inequalityType (biology)Mathematical analysisNonlinear systemDifferential equationStability (learning theory)Banach spaceFixed pointApplied mathematicsInequalityComputer scienceBiologyPhysicsQuantum mechanicsMachine learningEcologyFractional Differential Equations SolutionsNonlinear Differential Equations AnalysisDifferential Equations and Boundary Problems