Numerical solutions of fractional system, two-point BVPs using iterative reproducing kernel algorithm

• Datum: 2018
• Hauptverfasser: Al-Smadi, M., Altawallbeh, Z., Ateiwi, A. M., Komashinskaya, I. V., Аль-Смаді, М., Алтавабех, З., Атеіві, А. М., Комашинська, І. В.
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2018
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/1580
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

We propose an efficient computational method, namely, the iterative reproducing kernel method for the approximate solution of fractional-order systems of two-point time boundary-value problems in the Caputo sense. Two extended inner-product spaces are constructed in which the boundary conditions of...