Existence, uniqueness, continuous dependence and Ulam stability of mild solutions for an iterative fractional differential equation

DOI10.4067/S0719-06462022000100083zbMath1485.34196WikidataQ114021953 ScholiaQ114021953MaRDI QIDQ5074468

Abdelouaheb Ardjouni, Abderrahim Guerfi

Publication date: 9 May 2022

Published in: Cubo (Temuco) (Search for Journal in Brave)

Full work available at URL: https://revistas.ufro.cl/ojs/index.php/cubo/article/view/2957

zbMATH Keywords

existenceuniquenessfixed point theoremcontinuous dependenceUlam stabilityiterative fractional differential equations

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Almost and pseudo-almost periodic solutions to functional-differential equations (34K14) Neutral functional-differential equations (34K40) Singular nonlinear integral equations (45G05) Functional-differential equations with fractional derivatives (34K37)

Related Items (1)

Existence and uniqueness results for generalized Caputo iterative fractional boundary value problems

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Recent history of fractional calculus
• The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• The problem of the initial conditions and their physical meaning in linear differential equations of fractional order.
• Efficient solution of multi-term fractional differential equations using P(EC)\(^m\)E methods
• Bounded positive solutions of an iterative three-point boundary-value problem with integral boundary condtions
• Existence results for fractional order functional differential equations with infinite delay
• Periodic solutions of an iterative functional differential equation with variable coefficients
• Ulam stability and data dependence for fractional differential equations with Caputo derivative
• GENERALIZED FRACTIONAL ORDER BLOCH EQUATION WITH EXTENDED DELAY
• Uniqueness and Stability Results for Caputo Fractional Volterra-Fredholm Integro-Differential Equations

This page was built for publication: Existence, uniqueness, continuous dependence and Ulam stability of mild solutions for an iterative fractional differential equation