On the exponential ultradistribution semigroups in Banach spaces
Marko Kosti\' c, Stevan Pilipovi\' c, Daniel Velinov
TL;DR
This paper investigates exponential ultradistribution semigroups in Banach spaces, focusing on their properties and the existence and uniqueness of solutions to associated fractional relaxation equations.
Contribution
It extends previous research by establishing new results on the existence, uniqueness, and analytical solutions related to exponential ultradistribution semigroups.
Findings
Existence and uniqueness of solutions for fractional relaxation equations
Analytical solutions associated with ultradistribution semigroups
Extended theoretical framework for ultradistribution semigroups in Banach spaces
Abstract
In this paper, we continue our previous research studies of exponential ultradistribution semigroups in Banach spaces. The existence and uniqueness of analytical solutions of abstract fractional relaxation equations associated with the generators of exponential ultradistribution semigroups have been considered. Some other results are also proved.
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Taxonomy
TopicsNonlinear Differential Equations Analysis · Differential Equations and Boundary Problems · Differential Equations and Numerical Methods