Geodesic
Boundary-value problem for a mixed composite functionally differential advancing-lagging equation with fractional derivative
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 4 (2019), pp. 52-65

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We examines a problem for mixed equation with composite fractional derivative and concentrated time deviation, functional delay and advance with respect to spatial variable. The problem is uniquely solvable.
Keywords: mixed-type equation, integral equations, difference equation, functional delay and advance, the fractional derivative. 
@article{IVM_2019_4_a4,
     author = {A. N. Zarubin},
     title = {Boundary-value problem for a mixed composite functionally differential advancing-lagging equation with fractional derivative},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {52--65},
     publisher = {mathdoc},
     number = {4},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2019_4_a4/}
}
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A. N. Zarubin. Boundary-value problem for a mixed composite functionally differential advancing-lagging equation with fractional derivative. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 4 (2019), pp. 52-65. http://geodesic.mathdoc.fr/item/IVM_2019_4_a4/