Geodesic
Existence and stability for nonlinear Caputo-Hadamard fractional delay differential equations
Moussa Haoues1 ; Abdelouaheb Ardjouni1 ; Ahcene Djoudi2 ; Moussa Haoues ; Abdelouaheb Ardjouni ; Ahcene Djoudi
1Department of Mathematics and Informatics, Souk Ahras University, Souk Ahras, Algeria
2Department of Mathematics, Faculty of Sciences, Annaba University, Annaba, Algeria
Acta mathematica Universitatis Comenianae, Tome 89 (2020) no. 2, pp. 225-242 
Moussa Haoues; Abdelouaheb Ardjouni; Ahcene Djoudi; Moussa Haoues; Abdelouaheb Ardjouni; Ahcene Djoudi. Existence and stability for nonlinear Caputo-Hadamard fractional delay differential equations. Acta mathematica Universitatis Comenianae, Tome 89 (2020) no. 2, pp. 225-242. http://geodesic.mathdoc.fr/item/AMUC_2020_89_2_a3/
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     author = {Moussa Haoues and Abdelouaheb Ardjouni and Ahcene Djoudi and Moussa Haoues and Abdelouaheb Ardjouni and Ahcene Djoudi},
     title = { Existence and stability for nonlinear {Caputo-Hadamard} fractional delay differential equations},
     journal = {Acta mathematica Universitatis Comenianae},
     pages = {225--242},
     year = {2020},
     volume = {89},
     number = {2},
     url = {http://geodesic.mathdoc.fr/item/AMUC_2020_89_2_a3/}
}
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Voir la notice de l'article provenant de la source Comenius University

In this paper, we use the modified version of contraction mapping principle to obtain the existence and uniqueness of solutions for nonlinear Caputo-Hadamard fractional delay differential equations. We also use the method of successive approximations to show the stability of the solutions. An example is given to illustrate this work.