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STABILITY IN VOLTERRA INTEGRAL EQUATIONS OF FRACTIONAL ORDER WITH CONTROL VARIABLE

Authors
Nasertayoob, PayamVaezpour, S. MansourSaadati, RezaPark, Choonkil
Issue Date
Aug-2015
Publisher
EUDOXUS PRESS, LLC
Keywords
Volterra integral equation; Integral equation of fractional order; Measure of noncompactness; Stability; Control variable
Citation
JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, v.19, no.2, pp.346 - 358
Indexed
SCIE
SCOPUS
Journal Title
JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS
Volume
19
Number
2
Start Page
346
End Page
358
URI
https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/143402
ISSN
1521-1398
Abstract
In this paper, we study the stability of solutions of a nonlinear functional integral equation of fractional order with control variable. The equation is considered in the Banach space of real functions defined, continuous and bounded on an unbounded interval. Existence of a control variable provides the extension of some previous results obtains in other studies. We will also include an example in order to indicate the validity of the assumptions.
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