Geodesic
Existence Result for Fractional Differential Equation on Unbounded Domain
Kragujevac Journal of Mathematics, Tome 48 (2024) no. 5, p. 755 Cet article a éte moissonné depuis la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

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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. 
@article{KJM_2024_48_5_a7,
     author = {Moustafa Beddani and Benaouda Hedia},
     title = {Existence {Result} for {Fractional} {Differential} {Equation} on {Unbounded} {Domain}},
     journal = {Kragujevac Journal of Mathematics},
     pages = {755 },
     year = {2024},
     volume = {48},
     number = {5},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/KJM_2024_48_5_a7/}
}
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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/