Geodesic
Nonlinear Sequential Caputo and Caputo-Hadamard Fractional Differential Equations with Dirichlet Boundary Conditions in Banach Spaces
Kragujevac Journal of Mathematics, Tome 46 (2022) no. 6, p. 841

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

This paper is devoted to the existence of solutions for certain classes of nonlinear sequential Caputo and Caputo-Hadamard fractional differential equations with Dirichlet boundary conditions in Banach spaces. Moreover, our analysis is based on Darbo's fixed point theorem in conjunction with the technique of Hausdorff measure of noncompactness. An example is also presented to illustrate the effectiveness of the main results.
Classification : 34A08, 26A33, 34G20
Keywords: Caputo and Caputo-Hadamard fractional differential equations, Hausdorff measure of noncompactness, Darbo's fixed point theorem, Banach spaces 
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     author = {Choukri Derbazi},
     title = {Nonlinear {Sequential} {Caputo} and {Caputo-Hadamard} {Fractional} {Differential} {Equations} with {Dirichlet} {Boundary} {Conditions} in {Banach} {Spaces}},
     journal = {Kragujevac Journal of Mathematics},
     pages = {841 },
     publisher = {mathdoc},
     volume = {46},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/item/KJM_2022_46_6_a0/}
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Choukri Derbazi. Nonlinear Sequential Caputo and Caputo-Hadamard Fractional Differential Equations with Dirichlet Boundary Conditions in Banach Spaces. Kragujevac Journal of Mathematics, Tome 46 (2022) no. 6, p. 841 . http://geodesic.mathdoc.fr/item/KJM_2022_46_6_a0/