Open AccessExistence and Ulam stability for fractional differential equations of mixed Caputo-Riemann derivatives
Author(s) -
Shayma Adil Murad,
AUTHOR_ID,
Zanyar A. Ameen
Publication year - 2022
Publication title -
aims mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.329
H-Index - 15
ISSN - 2473-6988
DOI - 10.3934/math.2022357
Subject(s) - mathematics , uniqueness , banach space , fixed point theorem , fractional calculus , stability (learning theory) , pure mathematics , mathematical analysis , differential equation , computer science , machine learning
In this paper, we study the existence, uniqueness, and stability theorems of solutions for a differential equation of mixed Caputo-Riemann fractional derivatives with integral initial conditions in a Banach space. Our analysis is based on an application of the Shauder fixed point theorem with Ulam-Hyers and Ulam-Hyers-Rassias theorems. A couple of examples are presented to illustrate the obtained results.