Degenerate k-regularized (C1, C2)-existence and uniqueness families

Marko KostiÄ‡

doi:10.4067/S0719-06462015000300002

Authors

Marko KostiÄ‡ Faculty of Technical Sciences, University of Novi Sad, Trg D. Obradovi´ca 6, 21125 Novi Sad, Serbia.

DOI:

https://doi.org/10.4067/S0719-06462015000300002

Keywords:

Abstract multi-term fractional differential equations, fractional calculus, Mittag-Leffler functions, degenerate differential equations, Caputo time-fractional derivatives

Abstract

In this paper, we consider various classes of degenerate k-regularized (C₁,C₂)-existence and uniqueness families. The main purpose of the paper is to report how the techniques established in a joint paper of C.-G. Li, M. Li and the author can be successfully applied in the analysis of a wide class of abstract degenerate multi-term fractional differential equations with Caputo derivatives.