Geodesic
Existence and Stability Results of a Nonlinear Fractional Integro-Differential Equation with Integral Boundary Conditions
Kragujevac Journal of Mathematics, Tome 46 (2022) no. 5, p. 685 Cet article a éte moissonné depuis la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

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This paper deals with the stability results for solution of a fractional integro-differential problem with integral conditions. Using the Krasnoselskii's, Banach fixed point theorems, we proof the existence and uniqueness results. Based on the results obtained, conditions are provided that ensure the generalized Ulam stability of the original system. The results are illustrated by an example.
Classification : 34A08, 26A33 34B15, 34K20
Keywords: Fractional integro-differential equation, existence, stability, nonlocal conditions, fixed point theory, single valued maps 
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     author = {Naimi Abdellouahab and Brahim Tellab and Khaled Zennir},
     title = {Existence and {Stability} {Results} of a {Nonlinear} {Fractional} {Integro-Differential} {Equation} with {Integral} {Boundary} {Conditions}},
     journal = {Kragujevac Journal of Mathematics},
     pages = {685 },
     year = {2022},
     volume = {46},
     number = {5},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/KJM_2022_46_5_a1/}
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Naimi Abdellouahab; Brahim Tellab; Khaled Zennir. Existence and Stability Results of a Nonlinear Fractional Integro-Differential Equation with Integral Boundary Conditions. Kragujevac Journal of Mathematics, Tome 46 (2022) no. 5, p. 685 . http://geodesic.mathdoc.fr/item/KJM_2022_46_5_a1/