Geodesic
Existence of the solution for hybrid differential equation with Caputo-Fabrizio fractional derivative
Filomat, Tome 37 (2023) no. 7, p. 2219

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DOI

In this manuscript, we are interested in the existence result of the solution of hybrid nonlinear differential equations. involving fractional Caputo Fabrizio derivatives of arbitrary order α ∈]0, 1[. By applying Dhage's fixed point theorem and some fractional analysis techniques, we prove our main result. As an application, A non-trivial example is given to demonstrate the effectiveness of our theoretical result.
DOI : 10.2298/FIL2307219C
Classification : 26A33, 34B15, 34G20, 47H10
Keywords: Fractional derivative, Hybrid differential equation, Fractional derivatives of Caputo-Fabrizio, Dhage’s fixed point theorem 
Najat Chefnaj; Khalid Hilal; Ahmed Kajouni. Existence of the solution for hybrid differential equation with Caputo-Fabrizio fractional derivative. Filomat, Tome 37 (2023) no. 7, p. 2219 . doi: 10.2298/FIL2307219C
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     title = {Existence of the solution for hybrid differential equation with {Caputo-Fabrizio} fractional derivative},
     journal = {Filomat},
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     year = {2023},
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     doi = {10.2298/FIL2307219C},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2307219C/}
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