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Fractional order boundary value problem with integral boundary conditions involving Pettis integral
Authors:Hussein AH Salem
Institution:a Department of Mathematics, Faculty of Sciences, Alexandria University, Egypt
b Department of Mathematics, Faculty of Sciences and Arts, Taibah University, Saudia Arabia
Abstract: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.
Keywords:Fractional calculus  Pseudo solution  boundary value problem  Pettis integrals
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