Geodesic
On implicit boundary value problems with Caputo type modification of the Erdélyi–Kober fractional differential equations
Mokhtar Boumaaza1 ; Abdelkrim Salim2 ; Mouffak Benchohra3 ; Mokhtar Boumaaza ; Abdelkrim Salim ; Mouffak Benchohra
1Faculty of Sciences and Technology, University of Ghardaia, Algeria
2Faculty of Sciences and Technology, University of Ghardaia, Algeria; Faculty of Technology, Hassiba Benbouali University, Chlef 02000, Algeria
3Laboratory of Mathematics, Djillali Liabes University of Sidi Bel-Abbes, Sidi Bel-Abbes 22000, Algeria
Acta mathematica Universitatis Comenianae, Tome 93 (2024) no. 3, pp. 157-169 
Mokhtar Boumaaza; Abdelkrim Salim; Mouffak Benchohra; Mokhtar Boumaaza; Abdelkrim Salim; Mouffak Benchohra. On implicit boundary value problems with Caputo type modification of the Erdélyi–Kober fractional differential equations. Acta mathematica Universitatis Comenianae, Tome 93 (2024) no. 3, pp. 157-169. http://geodesic.mathdoc.fr/item/AMUC_2024_93_3_a2/
@article{AMUC_2024_93_3_a2,
     author = {Mokhtar Boumaaza and Abdelkrim Salim and Mouffak Benchohra and Mokhtar Boumaaza and Abdelkrim Salim and Mouffak Benchohra},
     title = { On implicit boundary value problems with {Caputo} type modification of the {Erd\'elyi{\textendash}Kober} fractional differential equations},
     journal = {Acta mathematica Universitatis Comenianae},
     pages = {157--169},
     year = {2024},
     volume = {93},
     number = {3},
     url = {http://geodesic.mathdoc.fr/item/AMUC_2024_93_3_a2/}
}
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%A Mouffak Benchohra
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Voir la notice de l'article provenant de la source Comenius University

This article deals with the existence of solutions to a boundary value problem for the Caputo type modification of the Erdélyi–Kober fractional differential equations. Our primary results are demonstrated by combining the fixed point theorems of Darbo and Mönch with the approach of measures of noncompactness. Furthermore, an example is provided to highlight the applicability of our findings.