Existence of mild solutions for nonlocal ψ −Caputo-type fractional evolution equations with nondense domain
Abstract: The main crux of this manuscript is to establish the existence and uniqueness of solutions for nonlocal fractional evolution equations involving ψ−Caputo fractional derivatives of an arbitrary order α ∈ (0, 1) with nondense domain. The mild solutions of our proposed model are constructed by employing generalized ψ−Laplace transform and some new density functions. The proofs are based on Krasnoselskii fixed point theorem and some basic techniques of ψ−fractional calculus. As application, a nontrivial example is given to illustrate our theoritical results.
- Location
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Deutsche Nationalbibliothek Frankfurt am Main
- Extent
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Online-Ressource
- Language
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Englisch
- Bibliographic citation
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Existence of mild solutions for nonlocal ψ −Caputo-type fractional evolution equations with nondense domain ; volume:9 ; number:1 ; year:2022 ; pages:272-289 ; extent:18
Nonautonomous dynamical systems ; 9, Heft 1 (2022), 272-289 (gesamt 18)
- Creator
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Mfadel, Ali El
Melliani, Said
Kassidi, Abderrazak
Elomari, M’hamed
- DOI
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10.1515/msds-2022-0157
- URN
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urn:nbn:de:101:1-2022121513070789607284
- Rights
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Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
- Last update
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15.08.2025, 7:34 AM CEST
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Associated
- Mfadel, Ali El
- Melliani, Said
- Kassidi, Abderrazak
- Elomari, M’hamed
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