IJPAM: Volume 113, No. 3 (2017)

Title

ULAM'S STABILITIES OF FRACTIONAL
INTEGRO-DIFFERENTIAL EQUATIONS

Authors

Maher Nazmi Qarawani
Department of Mathematics
Al-Quds Open University
Salfit, West-Bank, PALESTINE

Abstract

In this paper we establish Hyers-Ulam and Hyers-Ulam-Rassias stability for fractional integrodifferential equations \begin{equation*} x^{(\alpha )}(t)=g(t,x(t))+\int\limits_{t_{0}}^{t}G(t,s,x(s))ds,\quad \alpha \in \mathbb{R},~0<\alpha \leq 1, \end{equation*}

with the initial condition $x^{(\alpha -1)}(t_{0})=x_{0}$.

History

Received: September 8, 2016
Revised: December 13, 2016
Published: March 28, 2017

AMS Classification, Key Words

AMS Subject Classification: 26A32, 34K20, 37C75.
Key Words and Phrases: Hyers-Ulam-Rassias Stability, Fractional Equations,
Integro-Differential Equations.

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How to Cite?

DOI: 10.12732/ijpam.v113i3.1 How to cite this paper?

Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2017
Volume: 113
Issue: 3
Pages: 377 - 388


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