Entire and analytical solutions of certain classes of abstract degenerate fractional differential equations and their systems

TL;DR

This paper investigates entire and analytical solutions for a class of abstract degenerate multi-term fractional differential equations with Caputo derivatives, including systems, and provides illustrative examples to demonstrate the theoretical findings.

Contribution

It introduces new methods for solving degenerate multi-term fractional differential equations and analyzes systems, expanding the understanding of their solutions.

Findings

Established existence of entire solutions for the equations

Derived analytical solutions under certain conditions

Provided illustrative examples demonstrating the theoretical results

Abstract

In this paper, we are primarily concerned with the study of entire and analytical solutions of abstract degenerate (multi-term) fractional differential equations with Caputo time-fractional derivatives. We also analyze systems of such equations and furnish several illustrative examples to demonstrate usage of obtained theoretical results.