Next Article in Journal / Special Issue
Letnikov vs. Marchaud: A Survey on Two Prominent Constructions of Fractional Derivatives
Previous Article in Journal
A Numerical Solution of Fractional Lienard’s Equation by Using the Residual Power Series Method
Previous Article in Special Issue
On Some New Properties of the Fundamental Solution to the Multi-Dimensional Space- and Time-Fractional Diffusion-Wave Equation
Article Menu

Export Article

Open AccessArticle
Mathematics 2018, 6(1), 2; doi:10.3390/math6010002

An Iterative Method for Solving a Class of Fractional Functional Differential Equations with “Maxima”

Department of Mathematics, Faculty of Exact Sciences, Echahide Hamma Lakhdar University, B.P. 789, El Oued 39000, Algeria
Laboratory of Applied Mathematics, Badji Mokhtar University, B.P. 12, Annaba 23000, Algeria
Author to whom correspondence should be addressed.
Received: 14 November 2017 / Revised: 16 December 2017 / Accepted: 19 December 2017 / Published: 22 December 2017
(This article belongs to the Special Issue Fractional Calculus: Theory and Applications)
View Full-Text   |   Download PDF [255 KB, uploaded 24 December 2017]


In the present work, we deal with nonlinear fractional differential equations with “maxima” and deviating arguments. The nonlinear part of the problem under consideration depends on the maximum values of the unknown function taken in time-dependent intervals. Proceeding by an iterative approach, we obtain the existence and uniqueness of the solution, in a context that does not fit within the framework of fixed point theory methods for the self-mappings, frequently used in the study of such problems. An example illustrating our main result is also given. View Full-Text
Keywords: functional differential equations; fractional calculus; iterative procedures functional differential equations; fractional calculus; iterative procedures
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

Scifeed alert for new publications

Never miss any articles matching your research from any publisher
  • Get alerts for new papers matching your research
  • Find out the new papers from selected authors
  • Updated daily for 49'000+ journals and 6000+ publishers
  • Define your Scifeed now

SciFeed Share & Cite This Article

MDPI and ACS Style

Nisse, K.; Nisse, L. An Iterative Method for Solving a Class of Fractional Functional Differential Equations with “Maxima”. Mathematics 2018, 6, 2.

Show more citation formats Show less citations formats

Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Related Articles

Article Metrics

Article Access Statistics



[Return to top]
Mathematics EISSN 2227-7390 Published by MDPI AG, Basel, Switzerland RSS E-Mail Table of Contents Alert
Back to Top