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

doi:10.1016/S0252-9602(11)60266-X

摘要/Abstract

摘要：

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.

关键词: Fractional calculus, Pseudo solution, boundary value problem, Pettis integrals

Abstract:

Key words: Fractional calculus, Pseudo solution, boundary value problem, Pettis integrals

中图分类号:

26A33

Hussein A.H.Salem . FRACTIONAL ORDER BOUNDARY |VALUE PROBLEM WITH INTEGRAL BOUNDARY CONDITIONS INVOLVING PETTIS INTEGRAL[J]. 数学物理学报(英文版), 2011, 31(2): 661-672.

Hussein A.H.Salem . FRACTIONAL ORDER BOUNDARY |VALUE PROBLEM WITH INTEGRAL BOUNDARY CONDITIONS INVOLVING PETTIS INTEGRAL[J]. Acta mathematica scientia,Series B, 2011, 31(2): 661-672.

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

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

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