Existence of Ulam Stability for Iterative Fractional Differential Equations Based on Fractional Entropy

Existence of Ulam Stability for Iterative Fractional Differential Equations Based on Fractional Entropy

In this study, we introduce conditions for the existence of solutions for an iterative functional differential equation of fractional order. We prove that the solutions of the above class of fractional differential equations are bounded by Tsallis entropy. The method depends on the concept of Hyers-...

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Bibliographic Details
Main Authors: Rabha W. Ibrahim, Hamid A. Jalab
Format: Article
Language:English
Published: MDPI AG 2015-05-01
Series:Entropy
Subjects:
fractional calculus
fractional differential equation
entropy solution
Online Access:http://www.mdpi.com/1099-4300/17/5/3172
Description
Summary:In this study, we introduce conditions for the existence of solutions for an iterative functional differential equation of fractional order. We prove that the solutions of the above class of fractional differential equations are bounded by Tsallis entropy. The method depends on the concept of Hyers-Ulam stability. The arbitrary order is suggested in the sense of Riemann-Liouville calculus.
ISSN:1099-4300

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