On the Theory of Fractional Calculus in the Pettis-Function Spaces

Autor:	Hussein A. H. Salem
Jazyk:	angličtina
Rok vydání:	2018
Předmět:	Mathematics QA1-939
Zdroj:	Journal of Function Spaces, Vol 2018 (2018)
Druh dokumentu:	article
ISSN:	2314-8896 2314-8888
DOI:	10.1155/2018/8746148
Popis:	Throughout this paper, we outline some aspects of fractional calculus in Banach spaces. Some examples are demonstrated. In our investigations, the integrals and the derivatives are understood as Pettis integrals and the corresponding derivatives. Our results here extended all previous contributions in this context and therefore are new. To encompass the full scope of our paper, we show that a weakly continuous solution of a fractional order integral equation, which is modeled off some fractional order boundary value problem (where the derivatives are taken in the usual definition of the Caputo fractional weak derivative), may not solve the problem.
Databáze:	Directory of Open Access Journals
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