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Functional Numerical Methods: Applications to Abstract Fractional Calculus pp 41–57Cite as

Equations for Banach Space Valued Functions in Fractional Vector Calculi

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Part of the book series: Studies in Systems, Decision and Control ((SSDC,volume 130))

Abstract

The aim of this chapter is to solve equations on Banach space using iterative methods under generalized conditions. The differentiability of the operator involved is not assumed and its domain is not necessarily convex. Several applications are suggested including Banach space valued functions of abstract fractional calculus, where all integrals are of Bochner-type. It follows [5].

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Author information

Authors and Affiliations

  1. Department of Mathematical Sciences, University of Memphis, Memphis, TN, USA

    George A. Anastassiou

  2. Department of Mathematical Sciences, Cameron University, Lawton, OK, USA

    Ioannis K. Argyros

Authors
  1. George A. Anastassiou
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  2. Ioannis K. Argyros
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Correspondence to George A. Anastassiou .

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Anastassiou, G.A., Argyros, I.K. (2018). Equations for Banach Space Valued Functions in Fractional Vector Calculi. In: Functional Numerical Methods: Applications to Abstract Fractional Calculus. Studies in Systems, Decision and Control, vol 130. Springer, Cham. https://doi.org/10.1007/978-3-319-69526-6_3

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  • DOI: https://doi.org/10.1007/978-3-319-69526-6_3

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-69525-9

  • Online ISBN: 978-3-319-69526-6

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