Geodesic
Mixed Problem for a Loaded System of Equations with Riemann--Liouville Derivatives
Matematičeskie zametki, Tome 97 (2015) no. 3, pp. 428-439

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A system of two Riemann–Liouville partial differential equations with constant coefficients is studied. The existence and uniqueness theorem for the solution of the mixed problem is proved and its Green function is constructed.
Keywords: Riemann–Liouville partial differential equation, Green matrix function, fractional differentiation operator, Wright-type function, system of fractional differential equations. 
@article{MZM_2015_97_3_a10,
     author = {M. O. Mamchuev},
     title = {Mixed {Problem} for a {Loaded} {System} of {Equations} with {Riemann--Liouville} {Derivatives}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {428--439},
     publisher = {mathdoc},
     volume = {97},
     number = {3},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2015_97_3_a10/}
}
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M. O. Mamchuev. Mixed Problem for a Loaded System of Equations with Riemann--Liouville Derivatives. Matematičeskie zametki, Tome 97 (2015) no. 3, pp. 428-439. http://geodesic.mathdoc.fr/item/MZM_2015_97_3_a10/