A new technique for solving Sobolev type fractional multi-order evolution equations
Analysis of PDEs
2021-02-23 v1 Dynamical Systems
Abstract
A strong inspiration for studying Sobolev type fractional evolution equations comes from the fact that have been verified to be useful tools in the modeling of many physical processes. We introduce a novel technique for solving Sobolev type fractional evolution equations with multi-orders in a Banach space. We propose a new Mittag-Leffler type function which is generated by linear bounded operators and investigate their properties which are productive for checking the candidate solutions for multi-term fractional differential equations. Furthermore, we propose an exact analytical representation of solutions for multi-dimensional fractional-order dynamical systems with nonpermutable and permutable matrices.
Cite
@article{arxiv.2102.10318,
title = {A new technique for solving Sobolev type fractional multi-order evolution equations},
author = {Nazim I. Mahmudov and Arzu Ahmadova and Ismail T. Huseynov},
journal= {arXiv preprint arXiv:2102.10318},
year = {2021}
}