Existence and Ulam stability results for nonlinear hybrid implicit Caputo fractional differential equations
Mathematica Moravica, Tome 24 (2020) no. 1.

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In this paper, we study the existence, uniqueness and estimate of solutions for nonlinear hybrid implicit Caputo fractional differential equations by using the contraction mapping principle and the generalization of Gronwall’s inequality. After that, we also establish the Ulam stability for the problem at hand. Finally, an example is given to illustrate this work.
Mots-clés : Implicit fractional differential equations, Caputo fractional derivatives, fixed point theorems, existence, uniqueness, Ulam stability. 
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     author = {Adel Lachouri and Abdelouaheb Ardjouni and Ahcene Djoudi},
     title = {Existence and {Ulam} stability results for nonlinear hybrid implicit {Caputo} fractional differential equations},
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Adel Lachouri; Abdelouaheb Ardjouni; Ahcene Djoudi. Existence and Ulam stability results for nonlinear hybrid implicit Caputo fractional differential equations. Mathematica Moravica, Tome 24 (2020) no. 1. https://geodesic-test.mathdoc.fr/item/MM3_2020_24_1_a8/