Anti-periodic boundary value problems for Caputo-Fabrizio fractional impulsive differential equations
Mathematica Moravica, Tome 26 (2022) no. 2.

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In this paper, we shall discuss the existence and uniqueness of solutions for a nonlinear anti-periodic boundary value problem for fractional impulsive differential equations involving a Caputo-Fabrizio fractional derivative of order $r\in (0, 1)$. Our results are based on some fixed point theorem, nonlinear alternative of Leray-Schauder type and coupled lower and upper solutions.
Mots-clés : Fractional differential equation, Caputo-Fabrizio integral of fractional order, Caputo-Fabrizio fractional derivatives, Anti-periodic boundary value problem, Fixed point, Lower and upper solutions, coupled lower and upper solutions. 
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     author = {Mohammed Benyoub and Kacem Belghaba},
     title = {Anti-periodic boundary value problems for {Caputo-Fabrizio} fractional impulsive differential equations},
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Mohammed Benyoub; Kacem Belghaba. Anti-periodic boundary value problems for Caputo-Fabrizio fractional impulsive differential equations. Mathematica Moravica, Tome 26 (2022) no. 2. https://geodesic-test.mathdoc.fr/item/MM3_2022_26_2_a1/