2021/02/20 by Nazım I. Mahmudov, Mahmudov, Nazim I., Arzu Ahmadova +3 · 1 citation
Engineering · Mathematics · #26A33 #34A08 #34A12 #34A37 #34G20 #35R11 #35R12 #Analysis of PDEs (math.AP) #Differential Equations and Numerical Methods #Dynamical Systems (math.DS) #FOS: Mathematics #Fractional Differential Equations Solutions #Nonlinear Differential Equations Analysis #Numerical methods in engineering
paper · pdf · doi:10.48550/arxiv.2102.10318
openalex publication_date 2021/02/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
A strong inspiration for studying Sobolev type fractional evolution equations\ncomes from the fact that have been verified to be useful tools in the modeling\nof many physical processes. We introduce a novel technique for solving Sobolev\ntype fractional evolution equations with multi-orders in a Banach space. We\npropose a new Mittag-Leffler type function which is generated by linear bounded\noperators and investigate their properties which are productive for checking\nthe candidate solutions for multi-term fractional differential equations.\nFurthermore, we propose an exact analytical representation of solutions for\nmulti-dimensional fractional-order dynamical systems with nonpermutable and\npermutable matrices.\n