1Laboratory of Applied Mathematics,Faculty of Sciences, Badji-Mokhtar University, Annaba, Algeria
Acta mathematica Universitatis Comenianae, Tome 88 (2019) no. 1, pp. 1-12
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R. Atmania; S. Bouzitouna; R. Atmania; S. Bouzitouna. Existence and Ulam Stability Results for Two-orders Fractional Differential Equation. Acta mathematica Universitatis Comenianae, Tome 88 (2019) no. 1, pp. 1-12. http://geodesic.mathdoc.fr/item/AMUC_2019_88_1_a0/
@article{AMUC_2019_88_1_a0,
author = {R. Atmania and S. Bouzitouna and R. Atmania and S. Bouzitouna},
title = { Existence and {Ulam} {Stability} {Results} for {Two-orders} {Fractional} {Differential} {Equation}},
journal = {Acta mathematica Universitatis Comenianae},
pages = {1--12},
year = {2019},
volume = {88},
number = {1},
url = {http://geodesic.mathdoc.fr/item/AMUC_2019_88_1_a0/}
}
TY - JOUR
AU - R. Atmania
AU - S. Bouzitouna
AU - R. Atmania
AU - S. Bouzitouna
TI - Existence and Ulam Stability Results for Two-orders Fractional Differential Equation
JO - Acta mathematica Universitatis Comenianae
PY - 2019
SP - 1
EP - 12
VL - 88
IS - 1
UR - http://geodesic.mathdoc.fr/item/AMUC_2019_88_1_a0/
ID - AMUC_2019_88_1_a0
ER -
%0 Journal Article
%A R. Atmania
%A S. Bouzitouna
%A R. Atmania
%A S. Bouzitouna
%T Existence and Ulam Stability Results for Two-orders Fractional Differential Equation
%J Acta mathematica Universitatis Comenianae
%D 2019
%P 1-12
%V 88
%N 1
%U http://geodesic.mathdoc.fr/item/AMUC_2019_88_1_a0/
%F AMUC_2019_88_1_a0
In this paper, we deal with the existence of a unique solution and some Ulams type stability concepts for an initial value problem of a class of two-orders fractional di¤erential equations involving Caputos fractional derivative. We investigate two types of Ulam stability: Ulam-Hyers stability and Ulam-Hyers-Rassias stability for the considered problem of two fractional orders. We use the Banach xed point theorem and fractional calculus. Finally, we give an example to illustrate the results.
