Geodesic
Existence and Stability Analysis of Sequential Coupled System of Hadamard-Type Fractional Differential Equations
Kragujevac Journal of Mathematics, Tome 46 (2022) no. 1, p. 85 Cet article a éte moissonné depuis la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

Voir la notice de l'article

In this paper we study existence, uniqueness and Hyers-Ulam stability for a sequential coupled system consisting of fractional differential equations of Hadamard type, subject to nonlocal Hadamard fractional integral boundary conditions. The existence of solutions is derived from Leray-Schauder's alternative, whereas the uniqueness of solution is established by Banach contraction principle. An example is also presented which illustrate our results.
Classification : 26A33, 34A08, 35B40
Keywords: Hadamard fractional derivative, sequential coupled system, fixed point theorem, Hyers-Ulam stability 
@article{KJM_2022_46_1_a6,
     author = {Akbar Zada and Mohammad Yar},
     title = {Existence and {Stability} {Analysis} of {Sequential} {Coupled} {System} of {Hadamard-Type} {Fractional} {Differential} {Equations}},
     journal = {Kragujevac Journal of Mathematics},
     pages = {85 },
     year = {2022},
     volume = {46},
     number = {1},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/KJM_2022_46_1_a6/}
}
TY  - JOUR
AU  - Akbar Zada
AU  - Mohammad Yar
TI  - Existence and Stability Analysis of Sequential Coupled System of Hadamard-Type Fractional Differential Equations
JO  - Kragujevac Journal of Mathematics
PY  - 2022
SP  - 85 
VL  - 46
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/KJM_2022_46_1_a6/
LA  - en
ID  - KJM_2022_46_1_a6
ER  - 
%0 Journal Article
%A Akbar Zada
%A Mohammad Yar
%T Existence and Stability Analysis of Sequential Coupled System of Hadamard-Type Fractional Differential Equations
%J Kragujevac Journal of Mathematics
%D 2022
%P 85 
%V 46
%N 1
%U http://geodesic.mathdoc.fr/item/KJM_2022_46_1_a6/
%G en
%F KJM_2022_46_1_a6
Akbar Zada; Mohammad Yar. Existence and Stability Analysis of Sequential Coupled System of Hadamard-Type Fractional Differential Equations. Kragujevac Journal of Mathematics, Tome 46 (2022) no. 1, p. 85 . http://geodesic.mathdoc.fr/item/KJM_2022_46_1_a6/