Author/Authors :
molaei, mohammad islamic azad university, tabriz branch - department of mathematics, tabriz, iran , dastmalchi saei, farhad islamic azad university, tabriz branch - department of mathematics, tabriz, iran , javidi, mohammad islamic azad university, tabriz branch - department of mathematics, tabriz, iran , javidi, mohammad university of tabriz - faculty of mathematical sciences, tabriz, iran , mahmoudi, yaghoub islamic azad university, tabriz branch - department of mathematics, tabriz, iran
Abstract :
in this paper, new analytical solutions for a class of conformable fractional differential equations (cfdes) and some more results about laplace transform introduced by abdeljawad are investigated. the laplace transform method is developed to get the exact solution of cfdes. the aim of this paper is to convert the cfdes into ordinary differential equations (odes), this is done by using the fractional laplace transform of (α + β) order.
Keywords :
conformable fractional differential equations , fractional laplace transform , exact analytical solutions
