On the Theory of Fractional Calculus in the Pettis-Function Spaces
Author
Source
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-05-15
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Salem, Hussein A. H.. 2018. On the Theory of Fractional Calculus in the Pettis-Function Spaces. Journal of Function Spaces،Vol. 2018, no. 2018, pp.1-13.
https://search.emarefa.net/detail/BIM-1186677
Modern Language Association (MLA)
Salem, Hussein A. H.. On the Theory of Fractional Calculus in the Pettis-Function Spaces. Journal of Function Spaces No. 2018 (2018), pp.1-13.
https://search.emarefa.net/detail/BIM-1186677
American Medical Association (AMA)
Salem, Hussein A. H.. On the Theory of Fractional Calculus in the Pettis-Function Spaces. Journal of Function Spaces. 2018. Vol. 2018, no. 2018, pp.1-13.
https://search.emarefa.net/detail/BIM-1186677
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1186677