Existence and Ulam stability for fractional differential equations of mixed Caputo-Riemann derivatives
Shayma Adil Murad, Zanyar A. Ameen
Abstract
<abstract><p>In this paper, we study the existence, uniqueness, and stability theorems of solutions for a differential equation of mixed Caputo-Riemann fractional derivatives with integral initial conditions in a Banach space. Our analysis is based on an application of the Shauder fixed point theorem with Ulam-Hyers and Ulam-Hyers-Rassias theorems. A couple of examples are presented to illustrate the obtained results.</p></abstract>
Topics & Concepts
MathematicsUniquenessBanach spaceFixed-point theoremFractional calculusStability (learning theory)Pure mathematicsMathematical analysisApplied mathematicsDifferential equationComputer scienceMachine learningNonlinear Differential Equations AnalysisFractional Differential Equations SolutionsFunctional Equations Stability Results