Title of article :
On the existence and uniqueness of solutions of a class of initial value problems of fractional order
Author/Authors :
Dutta, Biju K North Eastern Regional Institute of Science and Technology ( NERIST) - Department of Mathematics, India , Arora, Laxmi K North Eastern Regional Institute of Science and Technology ( NERIST) - Department of Mathematics, India
Abstract :
In this paper, sufficient conditions for the existence and uniqueness of solution are studied for a class of initial value problem of fractional order, involving the Caputo-type derivative of a hypergeometric fractional operator applying fixed point theory. Examples are also provided to illustrate the results.
Keywords :
Caputo , type fractional derivative , Initial value problem , Fixed point theorems
Journal title :
Mathematical Sciences
Journal title :
Mathematical Sciences
