دورية أكاديمية
ON FULLY NONLINEAR EQUATIONS WITH FRACTIONAL TIME DERIVATIVE: LOCAL EXISTENCE AND UNIQUENESS, STABLE MANIFOLD
| العنوان: | ON FULLY NONLINEAR EQUATIONS WITH FRACTIONAL TIME DERIVATIVE: LOCAL EXISTENCE AND UNIQUENESS, STABLE MANIFOLD |
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| المؤلفون: | Guidetti D. |
| المساهمون: | Guidetti Davide |
| سنة النشر: | 2024 |
| المجموعة: | IRIS Università degli Studi di Bologna (CRIS - Current Research Information System) |
| مصطلحات موضوعية: | Fractional derivative, Nonlinear abstract differential equation, Stable manifold |
| الوصف: | We prove a maximal regularity result for abstract linear evolution autonomous equations with a fractional time derivative in the sense of Caputo. We employ it to show theorem of existence and unique-ness of local solutions for fully nonlinear equations and a theorem of existence of a stable manifold which is analogous to well known results in the case of a derivative of order one. We conclude with some exam-ples and applications to mixed Cauchy-Dirichlet and Cauchy-Neumann problems. |
| نوع الوثيقة: | article in journal/newspaper |
| وصف الملف: | STAMPA |
| اللغة: | English |
| العلاقة: | info:eu-repo/semantics/altIdentifier/wos/WOS:001078379600001; volume:29; issue:1-2; firstpage:69; lastpage:110; numberofpages:42; journal:ADVANCES IN DIFFERENTIAL EQUATIONS; https://hdl.handle.net/11585/959497Test; info:eu-repo/semantics/altIdentifier/scopus/2-s2.0-85173082992; https://projecteuclid.org/journals/advances-in-differential-equations/volume-29/issue-1_2f_2/On-fully-nonlinear-equations-with-fractional-time-derivative--local/10.57262/ade029-0102-69.shortTest |
| DOI: | 10.57262/ade029-0102-69 |
| DOI: | 10.57262/ade029-0102-69.short |
| الإتاحة: | https://doi.org/10.57262/ade029-0102-69Test https://hdl.handle.net/11585/959497Test |
| حقوق: | info:eu-repo/semantics/closedAccess |
| رقم الانضمام: | edsbas.674FBBA8 |
| قاعدة البيانات: | BASE |
| DOI: | 10.57262/ade029-0102-69 |
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