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Journal of Dynamical Systems and Geometric Theories

(Since 2002)
Open Access ·Peer-reviewed·ISSN (Online): 2169-0057·ISSN (Print): 1726-037X

WoS  JIF 2026 : 0.5 (Q3)

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Half-Yearly Journal: Publishes research on dynamical systems and geometry, including Random Dynamical Systems, hyperbolic behaviour, complex geometry and Ergodic theory.

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Journal of Dynamical Systems and Geometric Theories
Open Access Article

A new problem of singular fractional differential equations

pp. 165–187Vol. 14Issue 2July 2016DOI: 10.1080/1726037X.2016.1250502XML
Received:
02 Sep 2015
Accepted:
27 Apr 2016
Published Online:
28 Oct 2016
Article type:
Article
Language:
EN
Article no.:
1726037X.2016.1250502
Pages:
165–187

Abstract

In this paper, we introduce a new class of nonlinear singular frac­tional differential equations. We axe interested in the singularity by using the contraction mapping principle and Schauder fixed point theorem. We present new results on the existence and uniqueness of solutions. Moreover, we investi­gate the Ulam-Hyers stability and the generalized Ulam-Hyers stability for this fractional equations. Some examples are provided to illustrate the application of our results.

Keywords

Caputo derivativefixed pointsingular fractional differential equationexistenceuniquenessUlam-Hyers stabilitygeneralized Ulam-Hyers stability

Subject Classifications

30C4539B7239B82

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