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On the PC-mild solutions of abstract fractional evolution equations with non-instantaneous impulses via the measure of noncompactness
Iran Univ Sci & Technol, Iran.
Linnaeus University, Faculty of Technology, Department of Mathematics. Iran Univ Sci & Technol, Iran. (Int Ctr Math Modeling Phys & Cognit Sci;MSI)
King Saud Univ, Saudi Arabia.
2019 (English)In: Boundary Value Problems, ISSN 1687-2762, E-ISSN 1687-2770, p. 1-23, article id 19Article in journal (Refereed) Published
Abstract [en]

In this paper, we deal with the existence results for mild solutions of abstract fractional evolution equations with non-instantaneous impulses on an unbounded interval. We also establish the existence of S-asymptotically -periodic mild solutions. The applied techniques are supported by the concept of measure of noncompactness in conjunction with the well-known Darbo-Sadovskii and Tichonov fixed-point theorems. Furthermore, an example to the fractional initial/boundary value Cauchy problem is concerned to illustrate our main results.

Place, publisher, year, edition, pages
Springer, 2019. p. 1-23, article id 19
Keywords [en]
Fractional evolution equations, Mild solutions, S-asymptotically -periodic solutions, Tichonov fixed-point theorem, Darbo-Sadovskii fixed-point theorem, Measure of noncompactness
National Category
Mathematics
Research subject
Natural Science, Mathematics
Identifiers
URN: urn:nbn:se:lnu:diva-80774DOI: 10.1186/s13661-019-1137-9ISI: 000457834600001Scopus ID: 2-s2.0-85061692935OAI: oai:DiVA.org:lnu-80774DiVA, id: diva2:1291022
Available from: 2019-02-22 Created: 2019-02-22 Last updated: 2019-08-29Bibliographically approved

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Pourhadi, Ehsan

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  • nn-NB
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  • Other locale
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