Geodesic
Theoretical study of a $\varphi $-Hilfer fractional differential system in Banach spaces
Canadian mathematical bulletin, Tome 67 (2024) no. 3, pp. 742-759

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In this work, we study the existence of solutions of nonlinear fractional coupled system of $\varphi $-Hilfer type in the frame of Banach spaces. We improve a property of a measure of noncompactness in a suitably selected Banach space. Darbo’s fixed point theorem is applied to obtain a new existence result. Finally, the validity of our result is illustrated through an example.
DOI : 10.4153/S0008439524000134
Mots-clés : φ-Hilfer fractional derivative, coupled system, fixed point, measure of noncompactness 
Zentar, Oualid; Ziane, Mohamed; Horani, Mohammed Al. Theoretical study of a $\varphi $-Hilfer fractional differential system in Banach spaces. Canadian mathematical bulletin, Tome 67 (2024) no. 3, pp. 742-759. doi: 10.4153/S0008439524000134
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     author = {Zentar, Oualid and Ziane, Mohamed and Horani, Mohammed Al},
     title = {Theoretical study of a $\varphi ${-Hilfer} fractional differential system in {Banach} spaces},
     journal = {Canadian mathematical bulletin},
     pages = {742--759},
     year = {2024},
     volume = {67},
     number = {3},
     doi = {10.4153/S0008439524000134},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/S0008439524000134/}
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