Fractional order differential equations with iterations of linear modification of the argument

DOI10.1186/1687-1847-2013-329zbMath1391.34019OpenAlexW2123847044WikidataQ59302149 ScholiaQ59302149MaRDI QIDQ1653151

JinRong Wang, Jian-Hua Deng

Publication date: 17 July 2018

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-1847-2013-329

zbMATH Keywords

existenceiterationsPicard operatorfractional order differential equations

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Fixed-point theorems (47H10) Fractional ordinary differential equations (34A08)

Related Items

Well-posedness of nonlinear fractional quadratic iterative differential equations

Cites Work

• Fractional order iterative functional differential equations with parameter
• Generalized anti-periodic boundary value problems of impulsive fractional differential equations
• The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
• Analytic solutions of a first order iterative functional differential equation
• Smooth solutions of a nonhomogeneous iterative functional differential equation with variable coefficients
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Fractional Dynamics and Control
• A FIXED POINT APPROACH TO THE STABILITY OF QUADRATIC FUNCTIONAL EQUATION
• On minimal periods of functional-differential equations and difference inclusions
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item