Academic Journal

Note on the solution of random differential equations via ψ-Hilfer fractional derivative

التفاصيل البيبلوغرافية
العنوان: Note on the solution of random differential equations via ψ-Hilfer fractional derivative
المؤلفون: S. Harikrishnan, Kamal Shah, Dumitru Baleanu, K. Kanagarajan
المصدر: Advances in Difference Equations, Vol 2018, Iss 1, Pp 1-9 (2018)
بيانات النشر: SpringerOpen, 2018.
سنة النشر: 2018
المجموعة: LCC:Mathematics
مصطلحات موضوعية: Random differential equations, ψ-Hilfer fractional derivative, Existence theory, Stability analysis, Mathematics, QA1-939
الوصف: Abstract This manuscript is devoted to an investigation of the existence, uniqueness and stability of random differential equations with ψ-Hilfer fractional derivative. The concerned investigation of existence and uniqueness is obtained via the Schauder fixed point theorem and Banach contraction principle, respectively. Furthermore, for the respective solutions, some results related to different kinds of Ulam type stability including Hyers–Ulam, and generalized Hyers–Ulam, Hyers–Ulam–Rassias are obtained.
نوع الوثيقة: article
وصف الملف: electronic resource
اللغة: English
تدمد: 1687-1847
Relation: http://link.springer.com/article/10.1186/s13662-018-1678-8; https://doaj.org/toc/1687-1847
DOI: 10.1186/s13662-018-1678-8
URL الوصول: https://doaj.org/article/553176da18404e3da9f18bb752812f3f
رقم الانضمام: edsdoj.553176da18404e3da9f18bb752812f3f
قاعدة البيانات: Directory of Open Access Journals
الوصف
تدمد:16871847
DOI:10.1186/s13662-018-1678-8