Geodesic
Gevrey’s problem for parabolic mixed type equation with fractional derivative
News of the Kabardin-Balkar scientific center of RAS, no. 2 (2017), pp. 37-43

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The paper deals with the Gevrey problem for the parabolic equation with direct and reverse time in a rectangular domain. The solvability of the problem is reduced to the solvability of the generalized Abel equation within the class of functions satisfying the Holder condition.
Keywords: Gevrey’s problem, Riemann – Liouville fractional integrodifferentiation operator, mixed-parabolic equation, Wright type function, Holder condition.
Mots-clés : fractional diffusion equation, Abel equation 
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     author = {S.Kh. Gekkieva},
     title = {Gevrey{\textquoteright}s problem for parabolic mixed type equation with fractional derivative},
     journal = {News of the Kabardin-Balkar scientific center of RAS},
     pages = {37--43},
     publisher = {mathdoc},
     number = {2},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IZKAB_2017_2_a0/}
}
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S.Kh. Gekkieva. Gevrey’s problem for parabolic mixed type equation with fractional derivative. News of the Kabardin-Balkar scientific center of RAS, no. 2 (2017), pp. 37-43. http://geodesic.mathdoc.fr/item/IZKAB_2017_2_a0/