Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 2011 Issue 1(22), Pages 151–157
(Mi vsgtu863)
Procedings of the 2nd International Conference "Mathematical Physics and its Applications" Mathematical Physics
Solution in explicit form of non-local problem for differential equation with partial fractional derivative of Riemann–Liouville S. A. Sayganova Dept. of Applied Mathematics and Computer Science, Samara State Technical University, Samara Abstract:
A non-local problem for a mixed type equation with partial fractional derivative of Riemann–Liouville is studied, boundary condition of which contains generalized operator of fractional integro-differentiation. Unique solution of the problem is then proved.
Keywords:
boundary-value problem, fractional derivatives and integrals, fractional differential equation, Mittag–Leffler function.
UDC:
517.956.6
MSC: Primary
35M10 ; Secondary
26A33 ,
33C05 ,
33E12 Original article submitted 20/XII/2010
revision submitted – 14/II/2011
DOI:
10.14498/vsgtu863
© , 2025
Fulltext:
PDF file (553 kB)
The content is published under the terms of the Creative Commons Attribution 4.0 International License