FRACTIONAL ORDER BOUNDARY VALUE PROBLEM WITH INTEGRAL BOUNDARY CONDITIONS INVOLVING PETTIS INTEGRAL

In this article, we investigate the existence of Pseudo solutions for some fractional order boundary value problem with integral boundary conditions in the Banach space of continuous function equipped with its weak topology. The class of such problems constitute a very interesting and important clas...

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Veröffentlicht in:	Acta mathematica scientia 2011-03, Vol.31 (2), p.661-672
1. Verfasser:	Salem, Hussein A.H.
Format:	Artikel
Sprache:	eng
Schlagworte:	26A33 34G20 Banach space Banach空间 Boundary conditions boundary value problem Boundary value problems Fractional calculus Integrals Mathematical analysis Pettis integrals Pseudo solution Topology 分数阶积分弱拓扑积分值积分边界条件边值问题边界值问题连续函数
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description	In this article, we investigate the existence of Pseudo solutions for some fractional order boundary value problem with integral boundary conditions in the Banach space of continuous function equipped with its weak topology. The class of such problems constitute a very interesting and important class of problems. They include two, three, multi-point and nonlocal boundary-value problems as special cases. In our investigation, the right hand side of the above problem is assumed to be Pettis integrable function. To encompass the full scope of this article, we give an example illustrating the main result.
doi_str_mv	10.1016/S0252-9602(11)60266-X
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subjects	26A33 34G20 Banach space Banach空间 Boundary conditions boundary value problem Boundary value problems Fractional calculus Integrals Mathematical analysis Pettis integrals Pseudo solution Topology 分数阶积分弱拓扑积分值积分边界条件边值问题边界值问题连续函数
title	FRACTIONAL ORDER BOUNDARY VALUE PROBLEM WITH INTEGRAL BOUNDARY CONDITIONS INVOLVING PETTIS INTEGRAL
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