Geodesic
Correctness of Cauchy-type problems for abstract differential equations with fractional derivatives
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 9 (2009), pp. 13-24

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We prove the uniform correctness of a Cauchy-type problem with two fractional derivatives and a bounded operator $A$. We propose a criterion for the uniform correctness of unbounded operator $A$.
Keywords: equations of fractional order, uniform correctness of Cauchy-type problem, resolving operator. 
@article{IVM_2009_9_a1,
     author = {A. V. Glushak},
     title = {Correctness of {Cauchy-type} problems for abstract differential equations with fractional derivatives},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {13--24},
     publisher = {mathdoc},
     number = {9},
     year = {2009},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2009_9_a1/}
}
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A. V. Glushak. Correctness of Cauchy-type problems for abstract differential equations with fractional derivatives. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 9 (2009), pp. 13-24. http://geodesic.mathdoc.fr/item/IVM_2009_9_a1/