Open AccessExact solution of time-fractional partial differential equations using Laplace transform
Author(s) -
Naser Al-Qutaifi
Publication year - 2016
Publication title -
international journal of basic and applied sciences
Language(s) - English
Resource type - Journals
ISSN - 2227-5053
DOI - 10.14419/ijbas.v5i1.5665
Subject(s) - laplace transform , fractional calculus , mathematics , generalization , integer (computer science) , extension (predicate logic) , order (exchange) , laplace transform applied to differential equations , partial differential equation , mathematical analysis , derivative (finance) , differential equation , inverse laplace transform , computer science , finance , financial economics , economics , programming language
The idea of replacing the first derivative in time by a fractional derivative of order , where , leads to a fractional generalization of any partial differential equations of integer order. In this paper, we obtain a relationship between the solution of the integer order equation and the solution of its fractional extension by using the Laplace transform method.