Geodesic
Existence Result for Fractional Differential Equation on Unbounded Domain
Kragujevac Journal of Mathematics, Tome 48 (2024) no. 5, p. 755 .

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

In this article, we establish certain sufficient conditions to show the existence of solutions of boundary value problem for fractional differential equations on the half-line in a Fréchet space. The main result is based on Tykhonoff fixed point theorem combining with a suitable measure of non-compactness. An example is given to illustrate our approach.
Classification : 26A33, 34A15, 34A37
Keywords: boundary value problem, measure of non-compactness of Kuratowski, Tykhonoff fixed point theorem, Riemann-Liouville fractional derivative. 
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     author = {Moustafa Beddani and Benaouda Hedia},
     title = {Existence {Result} for {Fractional} {Differential} {Equation} on {Unbounded} {Domain}},
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Moustafa Beddani; Benaouda Hedia. Existence Result for Fractional Differential Equation on Unbounded Domain. Kragujevac Journal of Mathematics, Tome 48 (2024) no. 5, p. 755 . http://geodesic.mathdoc.fr/item/KJM_2024_48_5_a7/