RT Journal Article
T1 Analytical solutions for fractional partial delay differential-algebraic equations with Dirichlet boundary conditions defined on a finite domain
A1 Ding, Xiao-Li
A1 Nieto Roig, Juan José
A1 Wang, Xiaolong
K1 Fractional partial differential-algebraic equations with delays
K1 Dirichlet boundary condition
K1 Fractional Laplacian operator
K1 Spectral representation
K1 Analytical solution
AB In this paper, we investigate the solution of multi-term time-space fractional partial delay differential-algebraic equations (MTS-FPDDAEs) with Dirichlet boundary conditions defined on a finite domain. We use Laplace transform method to give the solutions of multi-term time fractional delay differential-algebraic equations (MTS-FDDAEs). Then, the technique of spectral representation of the fractional Laplacian operator is used to convert the MTS-FPDDAEs into the MTS-FDDAEs. By applying our obtained solutions to the resulting MTS-FDDAEs, the desired analytical solutions of the MTS-FPDDAEs are obtained. Finally, we give the solutions of some special cases
PB Springer
SN 1311-0454
YR 2022
FD 2022
LK http://hdl.handle.net/10347/29202
UL http://hdl.handle.net/10347/29202
LA eng
NO Fractional Calculus and Applied Analysis 25, 408–438 (2022). https://doi.org/10.1007/s13540-022-00021-7
NO This work was supported by the Natural Science Foundation of China (NSFC) under grants 11871400. The work of J.J. Nieto has been partially supported by the Agencia Estatal de Investigacion (AEI) of Spain under Grant PID2020-113275GB-I00 and co-financed by European Community fund FEDER and by Xunta de Galicia, grant ED431C 2019/02. Open Access funding provided thanks to the CRUE-CSIC agreement with Springer Nature
DS Minerva
RD 28 abr 2026