Back to Search
Start Over
Analysis and numerical solution of the generalized proportional fractional Cauchy problem.
- Source :
-
Applied Numerical Mathematics . Sep2021, Vol. 167, p173-186. 14p. - Publication Year :
- 2021
-
Abstract
- In this paper, we explore the existence and uniqueness theorem for a problem of the fractional Cauchy form, with dependence on the generalized proportional Caputo derivative. Furthermore, a new numerical technique is presented based on a decomposition formula for the generalized proportional Caputo derivative. Convergence analysis of the proposed technique is proved. Finally, numerical results are obtained to confirm the validity of the proposed method. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 01689274
- Volume :
- 167
- Database :
- Academic Search Index
- Journal :
- Applied Numerical Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- 150639927
- Full Text :
- https://doi.org/10.1016/j.apnum.2021.04.015