Functional delay fractional equations

Functional delay fractional equations

In this paper we discuss functional delay fractional equations. A Banach fixed point theorem is applied to obtain the existence (uniqueness) theorem. We also discuss such problems when a delay argument has a form α ( t ) = αt , 0 < α < 1, by using the method of successive approximations. Some...

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Veröffentlicht in:Fractional calculus & applied analysis 2016-08, Vol.19 (4), p.1050-1058
1. Verfasser: Jankowski, Tadeusz
Format: Artikel
Sprache:eng
Schlagworte:
34K37
34K40
Abstract Harmonic Analysis
Analysis
Approximation
Banach fixed point theorem
Delay
delay fractional equations
existence of solutions
Existence theorems
Fixed points (mathematics)
Functional Analysis
Integral Transforms
Mathematical analysis
Mathematics
method of successive approximations
Operational Calculus
Short Paper
Uniqueness theorems
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Beschreibung
Zusammenfassung:In this paper we discuss functional delay fractional equations. A Banach fixed point theorem is applied to obtain the existence (uniqueness) theorem. We also discuss such problems when a delay argument has a form α ( t ) = αt , 0 < α < 1, by using the method of successive approximations. Some existence results are also formulated in this case. An example illustrates the main result.
ISSN:1311-0454
1314-2224
DOI:10.1515/fca-2016-0057