In this paper, we present an operational method for solving two fractional equations, namely, the Legendre and the Laguerre equations. Based on operational approach for the Laplace and Mellin, we obtain a particular solution as a generalized power series for both equations, where the fractional derivatives are defined in the Riemann-Liouville sense. We prove the existence and uniqueness of solutions via Banach fix point theorem.
An operational method to solve fractional differential equations
10TH INTERNATIONAL CONFERENCE ON MATHEMATICAL PROBLEMS IN ENGINEERING, AEROSPACE AND SCIENCES: ICNPAA 2014 ; 2014 ; Narvik, Norway
AIP Conference Proceedings ; 1637 , 1 ; 1143-1152
2014-12-10
10 pages
Conference paper
Electronic Resource
English
American Institute of Physics | 2017
|Componentwise block partitioning: A new strategy to solve stiff ordinary differential equations
British Library Conference Proceedings | 2012
|Componentwise block partitioning: A new strategy to solve stiff ordinary differential equations
American Institute of Physics | 2012
|New solutions for some time fractional differential equations
British Library Online Contents | 2012
|