Geodesic
Gevrey Problem for a Loaded Mixed-Parabolic Equation with a Fractional Derivative
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the International Conference “Actual Problems of Applied Mathematics and Physics,” Kabardino-Balkaria, Nalchik, May 17–21, 2017, Tome 149 (2018), pp. 31-37

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In this paper, we consider the Gevrey problem for a loaded parabolic equation with the direct and reverse time in an unbounded region. The question on the solvability of this problem is reduced to the issue of the solvability of the generalized Abel equation in the class of function satisfying the Hölder condition.
Keywords: Gevrey problem, loaded equation, Riemann–Liouville fractional differentiation operator, function of Wright type, Hölder condition.
Mots-clés : Abel equation 
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     author = {S. Kh. Gekkieva},
     title = {Gevrey {Problem} for a {Loaded} {Mixed-Parabolic} {Equation} with a {Fractional} {Derivative}},
     journal = {Itogi nauki i tehniki. Sovremenna\^a matematika i e\"e prilo\v{z}eni\^a. Temati\v{c}eskie obzory},
     pages = {31--37},
     publisher = {mathdoc},
     volume = {149},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/INTO_2018_149_a3/}
}
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S. Kh. Gekkieva. Gevrey Problem for a Loaded Mixed-Parabolic Equation with a Fractional Derivative. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the International Conference “Actual Problems of Applied Mathematics and Physics,” Kabardino-Balkaria, Nalchik, May 17–21, 2017, Tome 149 (2018), pp. 31-37. http://geodesic.mathdoc.fr/item/INTO_2018_149_a3/