Investigating a generalized Hilfer-type fractional differential equation with two-point and integral boundary conditions
Saleh S. Redhwan, Sadikali L. Shaikh, Mohammed S. Abdo, Wasfı Shatanawi, Kamaleldin Abodayeh, Mohammed A. Almalahi, Tariq A. Aljaaidi
Abstract
<abstract><p>In this paper, we investigate a nonlinear generalized fractional differential equation with two-point and integral boundary conditions in the frame of $ \kappa $-Hilfer fractional derivative. The existence and uniqueness results are obtained using Krasnoselskii and Banach's fixed point theorems. We analyze different types of stability results of the proposed problem by using some mathematical methodologies. At the end of the paper, we present a numerical example to demonstrate and validate our findings.</p></abstract>
Topics & Concepts
MathematicsUniquenessFractional calculusMathematical analysisStability (learning theory)Fixed-point theoremBoundary value problemType (biology)Nonlinear systemApplied mathematicsComputer sciencePhysicsEcologyMachine learningBiologyQuantum mechanicsFractional Differential Equations SolutionsNonlinear Differential Equations AnalysisDifferential Equations and Numerical Methods